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  • 1970-1974  (803)
  • 1971  (803)
  • Organic Chemistry  (689)
  • Engineering General  (62)
  • Physical Chemistry  (52)
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  • 1
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 63-87 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The finite element method is applied to the stability analysis of structural systems subject to non-conservative forces. The development of the method is general, but the specific application considered here is the stability of thin-walled members subject to follower forces. The method predicts the type of instability, whether it be buckling or flutter. Example problems, for which exact solutions are known, illustrate the accuracy and convergence characteristic of the finite element formulation.
    Additional Material: 10 Ill.
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 103-117 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The application of the finite element rank force method for the dynamic analysis of redundant structures is presented. The applied loading consists of discrete and distributed loads. Both forced and free vibrations are considered, the latter yielding latent vectors corresponding to dynamic redundancies.It is shown that the dynamic properties of an element are given by a static flexibility matrix, an inverse mass matrix, a damping parameter and a displacement vector representing the effect of the applied distributed loading.
    Additional Material: 5 Ill.
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  • 3
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 119-129 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A stiffness matrix for a finite element having the planform of an annular segment is derived using the displacement approach. Numerical problems involved in the derivation are discussed and rapid convergence to exact solutions is demonstrated on three sample problems. It is concluded that the new element will be of great value to engineers concerned with the analysis of slabs of bridge decks curved in plan.
    Additional Material: 8 Ill.
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  • 4
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 89-101 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The point matching numerical method and its generalization, the method of boundary point least squares, have been successfully applied to numerous boundary value and eigenvalue problems. The present paper demonstrates the application of these techniques to problems in the micromechanics of fibrous composite materials, i.e. determination of elastic moduli and stress concentrations for parallel-fibre materials which are loaded transversely with respect to the fibres. The solution technique utilizes exact solutions of the governing equations of plane elasticity for each component fibre and its surrounding matrix material in a typical repeating section of the composite material. The continuity conditions for stresses and displacements between fibre and matrix and the repeatability conditions at the boundary of the repeating section are satisfied approximately in a pointwise manner. Some special numerical techniques which were found to be particularly useful in applying the point matching method to these problems are delineated. The method is demonstrated for composite materials having circular, elliptical and square fibres in regular, staggered arrays. Numerical results are given which show the accuracy of the method as well as stress concentration and composite elastic moduli data.
    Additional Material: 4 Ill.
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  • 5
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 131-144 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper discusses the mathematical foundations of a technique that has been used extensively in structural optimization.1-6 Two basic problems are considered. The first of these is the concave programming problem which consists of finding the global minimum of ‘piece-wise concave functions’ on ‘piece-wise concave sets’. Since any function can be approximated by a piece-wise concave function, this method could in principle be used to find the global minimum in non-convex optimization problems. The second one is the piece-wise linear programming problem in which the objective function is convex and piece-wise linear. The iterative method outlined for handling this problem is shown to be much more efficient than the standard simplex method of linear programming.
    Additional Material: 13 Ill.
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  • 6
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    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 149-149 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 154-154 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 275-290 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The solution of plate and shell problems by an independent specification of slopes and middle surface displacements is attractive due to its simplicity and ability of reproducing shear deformation. Unfortunately elements of this type are much too stiff when thickness is reduced.In an earlier paper a derivation of such an element was presented1 which proved very successful in ‘thick’ situations. Here a very simple extension is made which allows the element to be economically used in all situations.The improved flexibility is achieved simply by reducing the order of numerical integration applied to certain terms without sacrificing convergence properties. The process is of very wide applicability in improvement of element properties.
    Additional Material: 10 Ill.
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  • 9
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971) 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 295-296 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
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  • 11
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 299-315 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A system of finite element shell analysis codes, called SABOR/DRASTIC, is used to analyse a complex two-layered shell of revolution under static and dynamic asymmetric loads. The dynamic analysis is compared with experimentally measured response. In this linear elastic analysis, emphasis is placed on the inherent flexibility of the finite element method in modelling the complex structural geometry of a given test specimen. Static studies, which involve variations in important shell parameters, and dynamic studies, which provide a successful correlation with experiment, are used to illustrate both the detail and the generality with which shell analyses may now be performed with confidence.
    Additional Material: 11 Ill.
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  • 12
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    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 317-325 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The theory of conjugate approximations1 is used to obtain consistent approximations of stress fields in finite element approximations based on displacement assumptions. These consistent stresses are continuous across interelement boundaries and involve less mean error than those computed by the conventional approach.
    Additional Material: 1 Ill.
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  • 13
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    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 327-347 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Many of the known finite elements are based on a variational procedure in a functional basis of monomials. The present paper attempts to formulate completely a finite element procedure which is non-variational on a functional basis which is left to the choice of the user.
    Additional Material: 5 Ill.
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  • 14
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    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 443-444 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
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  • 15
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 425-441 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A unified network-topological approach to the formulation and solution of the analysis and minimum weight design of rigid-plastic structural systems is presented. It is shown that both analysis and design can be formulated using network concepts, but that, in contrast to elastic networks, the formulation results in a mathematical programming problem. Formulations based both on the static and kinematic theorems of plasticity are presented, and it is shown that duality guarantees that the two types of formulation yield identical results. The problem is first formulated on the basis of a simple definition of yielding, and is then generalized to the case where yielding is defined in terms of a yield surface.
    Additional Material: 4 Ill.
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  • 16
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 463-483 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Dynamic relaxation, an iterative method for use with digital computers, is described and is shown to be suitable for the solution of a system of linear equations and in particular for such problems derived from structural frame analysis. It is further shown that the method may be modified to include non-linear equations relating to these problems.Some specific examples of linear and non-linear solutions are given and comparisons are made with another computer method which performs the same tasks.
    Additional Material: 12 Ill.
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  • 17
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 529-552 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The discrete element displacement method is used to analyse the finite-deflection behaviour of shallow arches. The arches are idealized as assemblies of shallow curved elements and the necessary properties of the displacement patterns in these elements are discussed. Numerical solutions of the geometrically non-linear problem are obtained by directly minimizing the total potential energy of the system.
    Additional Material: 9 Ill.
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  • 18
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 565-574 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Finite element procedures usually require more degrees of freedom for a specified accuracy than does a classical Ritz procedure if suitable coordinate functions are available. This paper develops a combined global and local dependent variable representation which couples the conventional and finite element Ritz methods. This hybrid method preserves much of the flexibility of the finite element method while increasing the solution accuracy for a specified system order. The method is illustrated by examination of a beam and a plate vibration problem.
    Additional Material: 5 Ill.
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  • 19
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 553-563 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: For a hierarchy of polynomials on the triangle there is derived an algorithm for computing the stiffness matrix of the plate bending element. The algorithm is easy to program and means a considerable saving of the computing time. The same approach can be used for any elliptic equation with constant coefficients.
    Additional Material: 1 Ill.
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  • 20
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 575-586 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A quadratic thick shell element derived from a three-dimensional isoparametric element was first introduced by Ahmad and co-workers in 1968. This element was noted, however, to be relatively inefficient in representing bending deformations in thin shell or thin plate applications. The present paper outlines a selective integration scheme for evaluating the stiffness matrix of the element, in which each component of the strain energy is evaluated separately using a different Gaussian integration grid for each contribution. By this procedure, the excessive bending stiffness of the element, which results from the use of me quadratic interpolation functions, is avoided.The improved performance of this element, as compared with the original thick shell element, is demonstrated by analyses of a variety of thin and thick shell problems. Editors' note: A similar development was outlined by O. C. Zienkiewicz and co-workers in lnt. J. num. Meth. Engng, 3, 275-290 (1971). Some important details differ between the two papers which are thus complementary.
    Additional Material: 14 Ill.
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  • 21
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 591-592 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
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  • 22
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971) 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 23
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 1-2 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 24
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 3-3 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 25
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 155-160 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The conventional central finite difference equations for the plane stress extension of flat plates are derived as a localized Ritz process. A dual differential-variational discretization of this type enables common classification of the finite difference and finite element methods. Also, it provides alternative methods of establishing sufficiency conditions and relative rates of convergence for discrete systems derived from a localized Ritz process, and the existence of solution bounds for discrete systems derived using difference procedures.
    Additional Material: 7 Ill.
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  • 26
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 161-179 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper is concerned with the development of consistent discrete models, via the concept of finite elements, of linear and non-linear electrothermomechanical behaviour of continuous bodies. In the development, general energy balances are utilized to derive equations governing electromagnetic fields over an element and coupled equations of motion and heat conduction of a typical element of the continuum. These equations make it possible to study a general class of field problems involving arbitrary geometries and boundary conditions. Sample problems are included.
    Additional Material: 9 Ill.
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  • 27
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 181-198 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The dynamic finite element technique, which is referred to in the literature as ‘computer-analysis’, is applied to wave propagation problems occurring in finite and semi-infinite linearly elastic membranes of revolution. Both semi-infinite and finite versions of cylindrical and conical membranes are considered, and a finite membrane having a meridional curve which is parabolic is solved. The source of excitation is generally a constant velocity motion of one end of the membranes, but the results for a stress-pulse input at one end of a semi-infinite cylindrical membrane are also given. The results for the finite membranes are new, and the results for the semi-infinite problems are discussed with respect to previously published results. The two-dimensional state of stress in the membrane requires careful ordering of the calculations, and the boundary conditions for finite membranes are shown to follow logically from this ordering of the calculations. The difference in the solutions resulting from prescribing an axial or a tangential velocity excitation at the end of a conical membrane is presented, and the mesh size necessary for convergence to the solution is indicated. The graphs of the results clearly indicate regions in space and time where the membrane model should be replaced by the shell formulation to represent a realistic structure. The technique is shown to be self-contained and independent of any formal method such as the method of characteristics.
    Additional Material: 18 Ill.
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  • 28
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 199-213 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The numerical solution of the biharmonic equation in a rectangular domain is presented in the context of continuous dynamic programming techniques. The equations are specialized to the solution of elastic rectangular plates. A suitable approximate expression of a certain functional equation containing derivatives only in one direction is used to derive equations for the stiffness and flexibility matrices of the plate. It is shown that those matrices satisfy matrix Riccati equations subject to suitable initial conditions. It is also shown that the condition of optimality in the Hamilton-Jacobi-Bellman equation directly expresses a classical variational principle, i.e. the principle of complementary energy. Some numerical examples are finally presented.
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  • 29
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 215-232 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The paper presents an analysis of the response of plastic spherical and cylindrical shells subjected to loads applied through a rigid boss. Special emphasis is placed on following the load-deflection behaviour of these structures after the application of the yield-point load in order to predict the appearance of any snapping action.The method of analysis assumes that upper bound calculations are applicable and that the associated velocity fields can be represented by a series of piecewise continuous polynomials. The internal dissipation of energy for the structures are then written in terms of the coefficients of these polynomials and the values appropriate to the solution are found by using a non-linear programming routine.The results of this analysis are correlated with a non-dimensional boss size parameter p and compared with the results of experimental investigations. Mention is also made of the possible effects of initial imperfections.
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  • 30
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 261-273 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A study of bending of plates for small deformations by applying the finite element method is presented in this paper.A new class of displacement functions has been developed for rectangular bending elements. For the first time a method is proposed for the derivation of displacement functions in which trigonometric expressions that had apparently failed to yield satisfactory results in earlier attempts can be used along with polynomial terms.The derivation leads to conforming type of displacement functions which satisfy the convergence criterion. The approach also demonstrates how many more new displacement functions can be found.
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  • 31
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 249-259 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper describes a search procedure for finding the unconstrained maximum or minimum of a function of many independent variables. If this function represents the volume, cost, stiffness, etc. of a structure and each of the independent variables is associated with a parameter governing the geometry of the structure then designs of optimum geometry may be made in certain cases with the assistance of this search procedure. The procedure consists of steepest gradient calculations used in conjunction with a reverse Fibonacci location process. A ridge-following technique is included to speed convergence in addition to localized exploration in the region of an optimum.The search procedure has been programmed for computer use and an outline of its structural design applications is presented together with an example of its efficiency in a specific case.
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  • 32
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 293-294 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 33
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 291-292 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 34
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 446-446 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 35
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 444-445 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 36
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 447-448 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 37
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971) 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 38
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 451-462 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Using the finite element method, a detailed study of the deformations and stresses produced in an elastic-perfectly plastic half-space indented by a rigid sphere was done. The analysis covers the transition region from the maximum elastic contact load to a state where this load has been increased one hundredfold. Experimental results available in the literature are in good agreement with the analysis. In solving repeatedly the large number of linear equations involved in the solution of the problem, it was found profitable, in order to save computer time, to modify the direct elimination method. This technique is described in some details in the paper.
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  • 39
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 485-493 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The convergence of nodal displacements obtained by the finite element method is investigated for special element patterns in plane elasticity with the aid of the differential equation derived from the equilibrium condition at each node. The convergence of strains is also discussed. It is shown that averaging is an effective tool for obtaining approximations to strain for some kinds of mesh arrangement. It is also shown that the approach becomes inaccurate along force boundaries.
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  • 40
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 495-508 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A refined axisymmetric curved finite element for the analysis of thin elastic-plastic shells of revolution is described in the paper. The improved element is obtained by employing cubic polynomials in terms of local Cartesian co-ordinates for the assumed in-plane and out-of-plane displacements. This introduces into the solution two internal degrees of freedom in the cord direction of each element. These internal degrees of freedom are removed by static condensation before assembling the individual element stiffness matrices, and are subsequently recovered after the nodal displacements are obtained. On comparison with the previous formulation, this procedure greatly improves the accuracy of the solution especially with regards to in-plane stress-resultants at discontinuities in the meridional curvature and interelement equilibrium of forces. The latter fact makes it possible to analyse shells with a discontinuous meridional slope. In using this element, improvement in the convergence of the elastic-plastic solutions has also been observed.Several examples illustrate the quality of solutions. The reported study is limited to axisymmetric loadings cum boundary conditions.
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  • 41
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 509-517 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper considers methods of solution of the relevant equations based on the Newton-Raphson process. Expressions are derived for calculation with both good and very poor initial guesses and for calculation of pressure, volume and temperature during an equilibrium process. A method of programming the calculations is outlined. Variations and modifications to suit specific situations are discussed.
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  • 42
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 519-528 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A computer orientated method is presented which generates meshes of triangular elements in plane and curved surfaces. Depending on geometrical and material variations, the region to be discretized is divided into a number of four sided zones. By using curvi-linear co-ordinate systems, nodes within and on the boundary of each zone are automatically positioned and referenced to a global Cartesian co-ordinate system. Elements are automatically assembled from these nodes. Input data is required to specify the positions and material properties of each zone and how they are connected. Examples are given which illustrate the range of meshes that can be generated. Extension of the method to generate three-dimensional tetrahedral elements is indicated.
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  • 43
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 587-588 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 44
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 591-591 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 45
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 588-591 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 46
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 233-248 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A finite element technique is used to determine the natural frequencies and the mode shapes of a cantilever plate mounted on the periphery of a rotating disc. The plane of the plate is assumed to make any arbitrary angle with the plane of rotation of the disc. The distributed centrifugal force is resolved into two components - one acting in the plane of the plate and the other normal to the plate. The stresses produced in the middle surface of the plate due to the in-plane forces are first determined. The increase in the bending stiffness of the plate elements due to these in-plane stresses is obtained in a manner similar to that used in the stability analysis of plates. The component of the distributed centrifugal force normal to the plate surface is added to the inertia force.From the results of computations carried out for various values of the aspect ratio, the speed of rotation, the disc radius and the setting angle, empirical formulae are derived giving the effect of these parameters on the natural frequencies. These empirical formulae are observed to be in agreement with the corresponding known formulae for rotating cantilever beams, when the aspect ratio is high.
    Additional Material: 8 Ill.
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  • 47
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 445-446 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 48
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 5-11 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: It has long been recognized that permeability, compressibility and viscosity vary during the consolidation of soil. However, the introduction of these variations into consolidation theory leads to formidable difficulties due to their rendering the equations highly non-linear. Numerical methods are given herein which enable the governing equation to be solved for a variety of different non-linear laws.
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  • 49
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 13-24 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The simultaneous iteration method of obtaining eigenvalues and eigenvectors is employed for the solution of undamped vibration problems. This method is of significance when a few of the dominant eigenvalues and eigenvectors are required from a large matrix, and hence is particularly suitable for vibration problems involving a large number of degrees of freedom. It is shown that advantage may be taken of both the symmetry and the band form of the mass and stiffness matrices, thus making it feasible to process on a computer larger order vibration problems than can be processed using transformation methods. A method of allowing for body freedom is given and some numerical tests are discussed.
    Additional Material: 2 Ill.
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  • 50
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 25-33 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The general eigenvalue problem Ax = λBx as arising from vibration problems tackled by the finite element method is often solved by the economization method in which the two matrices are reduced to a more manageable size and approximate answers are obtained.This paper analyses the method in a more mathematical way than previous accounts and leads to a definition of the optimum set of variables to be retained during the reduction. An extension to the method is suggested which allows the approximate eigenvalue to be improved and bounds are obtained on the eigenvalues of the full problem before reduction.An estimate is made of the calculation involved in the method and it is concluded, by reference to examples, that the extended method leads to a more efficient algorithm.
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  • 51
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 35-43 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A technique is described for solving the compressible flow equations in subsonic flow. The general quasi-linear equation ∇.g∇v = 0 is considered with g a function of ∇v. ∇v, and iterations of the form ∇.gn∇vn+1 = 0 are analysed, where g0 is suitably chosen and gn defined from vn for n≥1. This approach is applied to the compressible flow equations in terms of a velocity potential ø: monotonic convergence is predicted and at each iteration the error is multiplied by a factor less than the square of the greatest Mach number in the solution.Reliable convergence has been obtained in practice solving the linear equation for øn+1 by a finite difference method. The alternative of working in terms of the stream function ψ is discussed, and also discretization by the finite element method.
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  • 52
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 45-51 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A method of analysis is presented for two structures which have connections with clearance. It is assumed that the behaviour of the structures is described, by the movement of discrete nodes and that as the load on the structure changes, clearances open or close between corresponding nodes on the structures; each time this occurs the stiffness of the combined structure changes because its configuration has changed. Between these changes, the structure will behave linearly and the overall behaviour can be described as piecewise linear. Applications include diesel engine crankshafts with bearing clearances and the wrap-around problem in pin-and-eye connections.
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  • 53
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 53-61 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A solution is presented for the computation of the transient thermoelastic stresses in a hollow cylinder with temperature boundary conditions given as a circumferential variation of surface heat transfer coefficient. The temperature distribution is solved explicitly. The problem is set up using the Airy stress function which leads to the biharmonic equation. This approach requires the satisfaction of three Michell integrals at the inner boundary in order to ensure single-valued displacements and rotation. An iterative method is described in which these integrals are all simultaneously satisfied and thus provide the necessary non-zero boundary conditions for the solution of the biharmonic equation which is rapidly solved by Gaussian elimination. Results are presented for the general case where the temperature is a function of r and θ. The computer program is checked by assuming a constant value of the surface heat transfer coefficients. In this case a closed form solution is obtained.
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  • 54
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 145-147 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The Dynamic Relaxation (DR) method of solving a set of simultaneous linear equations requires an estimate of the spectral radius of the matrix. Dividing each equation by the corresponding row sum of moduli of the elements of the matrix gives a convenient upper bound of unity to this. This note shows that the DR method then gives a faster asymptotic rate of the convergence than the degenerate Chebyshev method which it closely resembles.
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  • 55
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    International Journal for Numerical Methods in Engineering 3 (1971) 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 56
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 151-151 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 57
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 379-388 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A very simple equation solver of very large capacity is developed. The method described here does not require a very large in-core memory; however, a fast random access device like a magnetic disk drive is required.
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  • 58
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 361-377 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The equations governing the axisymmetric dynamic deformation of an elastic solid are considered as a symmetric hyperbolic system of linear first-order partial differential equations. The characteristic properties of the system are determined and a numerical method for obtaining the solution of mixed initial and boundary value problems in elastodynamics is presented. Two examples are considered.
    Additional Material: 13 Ill.
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  • 59
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 349-360 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A computer program is described for the analysis of plates in extension using the equivalent plane-framework idealization. The conjugate gradient method is adopted to solve the resulting large number of simultaneous equations. Performance figures are quoted for the program when used on an ICL KDF9 machine with a restriction of 18K on the available core store. The method is generally shown to provide a satisfactory solution to a heavy computational task and thus permits the solution of very large structural systems on a small computer.
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  • 60
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 389-403 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An important limitation of finite element analysis, namely, the need for a large number of small elements in regions of finite or infinite stress concentrations and the difficulties of convergence in such cases, is well known. Rao1 suggested a possibility of overcoming this by developing hybrid techniques combining continuum and finite element concepts. In such techniques, each region of stress concentration is covered by one large ‘primary element’ whose description includes term(s) identifying the type and order of concentration, while the remaining structure is split into a few ‘secondary elements’ which are conventional finite elements. In this paper a procedure incorporating this concept is developed and its effectiveness is clearly demonstrated by successful application to two important examples, one of them with stress singularities. The concept, in fact, can be applied equally well to other two- and three-dimensional problems of continua with discontinuities and concentrations.
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  • 61
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 415-423 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The analysis is aimed at determination of displacements in elastic-perfectly plastic frames, in the case of monotonically increasing loads. Spread of partial plasticity from hinges and change of geometry on the conditions of equilibrium are not included. Extremum energy principles and linear programming methods are employed to solve the problem. Both the kinematic and the static formulations of the problem are presented. The mathematical models of the formulations constitute a dual pair of linear programming problems.
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  • 62
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    International Journal for Numerical Methods in Engineering 3 (1971), S. 405-413 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In convection heat transfer problems, it is convenient to solve the governing differential equations by using straightforward marching techniques for numerical integration. However, the boundary layer equations in these heat transfer problems are not of the initial value type even though they are parabolic equations. Consequently marching techniques are not successful until correct initial values are known. A means of determining these initial values is presented herein. Selected optimization methods are utilized in conjunction with marching integration techniques to solve third- and fourth-order ordinary differential equations which have three unknown initial boundary conditions. Two optimization methods, one deterministic and the other non-deterministic in nature, are used both independently and in combination as determined by the particular circumstances. Two applications are used to demonstrate the technique and comparison is made with existing solutions.
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  • 63
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 99-107 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The polarography of Nickel (II) in the presence of DL-tryptophan has been studied in KNO3 supporting electrolyte. Nickel yields two irreversible steps which are due to the formation of two varieties of complex in sluggish equilibrium with each other. The reduction is an irreversible, kinetically controlled process as evidenced from cyclic voltammetry and i-t curves. Rate constants of the processes are evaluated. The effect of temperature is described.
    Additional Material: 4 Ill.
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  • 64
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 108-114 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Durch potentiometrische bzw. photometrische pH-Titration wurden Protonierungskonstanten von 1-substituierten Butandion-(2,3)monoximen (1 und 2) und -dioximen (3) bestimmt. Die zu den Monoximen 1 und 2 gehörigen Anionen sind mesomeriestabilisiert. Bei den quaternären Ammoniumkationen 1a, 1b, 1d und 2g wird daher in erster Stufe die Oxim-, in zweiter Stufe die Ammoniumgruppierung deprotoniert. Für die lg cK11 bzw. lg cK12 der Verbindungen 1 und 2 besteht eine lineare Freie-Energie-Polare-Energie-Beziehung. Von den verschiedenen Protonierungsstufen der Dioxime 3 existieren Tautomere. Die von den Amindioximen 3 d, 3e und 3 f abgeleiteten quaternären Ammoniumkationen können daher in erster Stufe sowohl ein Ammonium- als auch ein Oximproton abspalten, und sie unterscheiden sich damit charakteristisch von 1 a, 1 b, 1 d und 2 g.
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  • 65
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Aus 2-Desoxyribose bildet sich in saurem Medium 3-Acetylacrolein. Dieses reagiert mit 3,5-Dihydroxytoluol (Orcin) im Sinne einer aldolartigen Aldehyd-Phenol-Kondensation über eine zwischengeschaltete Oxydation zu einer Reihe violetter und blauer Farbstoffe. Die Hauptkomponenten wurden präparativ dünnschichtchromatographisch dargestellt und als 9-(2-Acetylvinyl)-dimethyl-hydroxy-3-isoxanthone 2 und 1-(Dimethyl-3-isoxanthonyl)-2-[(dimethyl-dihydroxy-9-methyl-xanthenyl)-9]-äthylene 4 charakterisiert. Die Bildung von 4 erfolgt aus 2 und Orcin. Die Farbstoffe haben den Charakter von Säure-Base-Indikatoren mit stark pH-abhängigen Elektronenspektren. Sie sind in protonisierter Form die Träger der Farbreaktion (2: λmax = 575 nm; 4: λmax = 595 nm).
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  • 66
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 371-376 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The condensation of acetylacetone with anthranilic acid in presence of piperidine as the condensing agent gives acetylacetoneanthranilic acid SCHIFF'S base (H2AA) which forms complexes with Zinc (II) and Palladium (II). The dissociation constants of H2AA have been determined by interpolation at half n̄ values and also by algebraic method which give the values 4.85 and 8.25 at 30° ± 1 °C for the dissociation constants. The stability constants of Zinc (II) and Palladium (II) complexes have been determined adopting CALVIN and MELCHIOR'S extension of BJERRUM'S method and the values of log k1 are found to be 2.92 and 3.97 respectively at 30° ± 1 °C. In these complexes 1:1 metal-ligand stoichiometry is observed.
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  • 67
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 411-421 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Russian Abstract.
    Abstract: It seems advisable to investigate polycondensation processes extended systematically from low to high conversion by carefully chosen model systems, considering the statistical data available on the processes themselves and the relationship between structure and properties of the resulting polymers. In a previous paper (Rev. Gén. Caoutchouc Plastiques, Éd. Plastiques, 4, (1967) 111) dealing with conventional crosslinking agents, the possibility was suggested to perform polycondensation processes approaching more closely the classical random distribution. This can be achieved with symmetrical monomers having functional groups well spaced out to avoid substitution effects and cyclisation. Cyclisation is also rendered more difficult by greater stiffness of the structure of the monomers. This paper shows by some examples that, in favourable cases, the deviation from the classical random distribution can be reduced to the limits of experimental error, thus enabling the physical properties to be compared with the results of comparatively simple model calculations.
    Notes: Es ist ratsam, Polykondensationsprozesse an äußerst sorgfältig gewählten Modellsystemen zu studieren, und zwar systematisch von niedrigeren nach höheren Umsätzen, und indem man die Kenntnis der Prozesse selbst, der resultierenden Struktur der Produkte, und deren strukturgebundenen physikalischen Eigenschaften gleichzeitig auf statistischer Basis vertieft. In einem früheren Bericht (Rev. Gén. Caoutchouc Plastiques, Éd. Plastiques, 4, 1967, 111) über bekannte organische und anorganische Netzformer wurde auf die Möglichkeit hingewiesen, Polykondensationssysteme zu entwickeln, die den reinen klassischen Zufallsverteilungen in viel besserer Näherung folgen. Hierzu wählt man symmetrische Monomere mit räumlich weit auseinanderliegenden Funktionen, um Substitutionseffekte und Ringschlüsse weitgehend zu vermeiden; weiterhin werden Ringschlüsse auch durch Steifheit der Monomerstruktur sehr erschwert. In diesem Vortrag wird an einigen Beispielen belegt, daß man so tatsächlich die Abweichungen vom klassischen (cyclenfreien) Zufallsmodell in günstigen Fällen erwartungsgemäß bis zur Grenze der Unmeßbarkeit zurückdrängen kann, und daß sich das deshalb lohnt, weil man dann physikalische Eigenschaften der Produkte mit relativ einfachen Modellrechnungen vergleichen kann.
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  • 68
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 422-446 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Russian Abstract.
    Abstract: The non-equilibrium polycondensation is one of the processes developed in the efforts taken to discover new routes of syntheses in polymer chemistry. It applies to various routes of synthesis, such as polyrecombination, oxidative dehydropolycondensation, polycyclisation, polycondensation of dicarboxylic acids with diamines or bis-phenols and others.The characteristic features of the non-equilibrium polycondensation consist in the absence of reversible equilibrium reactions, high values of the equilibrium constants leading practically to the irreversibility of the process and, in contrast to equilibrium polycondensation, the possibility to prepare copolymers exclusively from monomers. In addition, it offers the essential advantages residing in the wider molecular weight distribution than that of polymers obtained by equilibrium polycondensation.The paper describes experimental results demonstrating the advantages of the non-equilibrium polycondensation. Various examples are presented that prove the non-equilibrium polycondensation a promising process for the synthesis of commercially valuable polymers.
    Notes: Die Entwicklung synthetischer Richtungen in der Polymerchemie führte zu einer Reihe neuer Syntheseverfahren, darunter auch der Nichtgleichgewichts-Polykondensation. Diese umfaßt die Polyrekombination, die oxydative Dehydropolykondensation, die Polycyclisierung, die Polykondensation von Dicarbonsäurechloriden mit Diaminen oder Bisphenolen u. a.Die Merkmale der Nichtgleichgewichts-Polykondensation sind: Fehlen reversibler Reaktionen während der Synthese; hohe Werte der Gleichgewichtskonstante und damit eine Nichtumkehrbarkeit des Prozesses sowie die Möglichkeit, im Gegensatz zur Gleichgewichts-Polykondensation Copolymere nur aus Monomeren zu erhalten.Ein wesentlicher Unterschied besteht auch in einer breiteren Verteilung der relativen Molekülmassen als bei Produkten, die durch Gleichgewichts-Polykondensation erhalten werden.Im Vortrag werden experimentelle Befunde mitgeteilt, die die genannten Besonderheiten der Nichtgleichgewichts-Polykondensation anschaulich illustrieren. An einer Reihe von Beispielen wird gezeigt, daß die Nichtgleichgewichts-Polykondensation ein aussichtsreiches Verfahren von praktisch wertvollen Polymeren ist.
    Additional Material: 18 Ill.
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  • 69
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 294-300 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: 1,5-Diacyl-2-alkyl-diaminoguanidine 1 cyclisieren unter Wasserabspaltung zu 3-(Nα-Alkyl-Nβ-acylhydrazino)-5-aryl-1,2,4-triazolen 3. Die Cyclisierung der 1-Acyl-2-alkyl-5-carbamoyldiaminoguanidine 2 führt zu 2-Alkyl-3-[semicarbazido-(1)]-5-aryl-1,2,4-triazolen 5. Aus 3 und 5 lassen sich durch Säurehydrolyse die entsprechenden Hydrazinotriazole 4 und 6 darstellen.
    Additional Material: 4 Tab.
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  • 70
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 301-308 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Es wurden hochtemperaturbeständige Azopigmente auf der Basis von 3-Amino-phthalsäureimid hergestellt. Durch Einführung von Chlorsubstituenten konnte die Lichtechtheit günstig beeinflußt werden. Die Migrationsechtheit wurde durch Molekülverdopplung entscheidend verbessert.
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  • 71
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 385-386 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 72
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 447-460 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Russian Abstract.
    Abstract: The concept of tacticity, originally established for vinyl polymers, is shown to be valid also for condensation polymers if extended to include some particularities. From this point of view the preparation and properties of exclusively isotactic polyesters from lactic acid and substituted β-hydroxy propionic acid are described. Ditactic polyurethanes were prepared from tartaric acid esters. In contrast to tactic vinyl polymers, the condensation polymers obtained show optical activity.A special kind of steric regularity was found to be possible in polyesters and polyamides having built-in single bonds with hindered rotation. Thermal isomerisation of these polyesters may result in removal of their tacticity. The kinetics of this reaction were investigated.Cis-tacticity and trans-tacticity was observed to occur in condensation polymers having C=C or N=N double bonds in the backbone chain. The preparation of some of these polymers is reported, including experiments based on a photolytic polyreaction. The application of catalysts or light led to isomerisation at the double bonds.
    Notes: Der Begriff der Taktizität wurde ursprünglich nur für Vinylpolymere konzipiert; es wird gezeigt, daß er unter Berücksichtigung einiger Besonderheiten auch auf Polykondensate anwendbar ist. Unter diesem Gesichtspunkt werden Herstellung und Eigenschaften von rein isotaktischen Polyestern auf der Basis von Milchsäure und substituierten β-Hydroxypropionsäuren geschildert. Beispiele für ditaktische Polyurethane lassen sich von Weinsäure-Estern ableiten. Zum Unterschied von taktischen Vinylpolymeren sind diese genannten Polykondensate optisch aktiv.Eine besondere Art von sterischer Regelmäßigkeit ist bei Polyestern und Polyamiden durch den Einbau von drehungsbehinderten Einfachbindungen möglich. Bei diesen Polyestern kann die thermische Isomerisierung zum Verlust der Taktizität führen. Die Kinetik dieser Reaktion wird studiert.Cis-Taktizität oder trans-Taktizität kann bei Polykondensaten mit C=C- oder N=N- Doppelbindungen in der Hauptkette auftreten. Die Herstellung von einigen derartigen Polymeren wird beschrieben; unter anderem wird eine photolytische Polyreaktion erprobt. Durch Einwirkung von Katalysatoren oder Licht tritt Isomerisierung an den Doppelbindungen ein.
    Additional Material: 2 Ill.
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  • 73
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971) 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 74
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 561-568 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Die Herstellung von Estern aus Alkalisalzen verschiedener Carbonsäuren mit Alkylhalogeniden in Gegenwart von tertiären Aminen oder quartären Ammoniumsalzen wird am Modellbeispiel Natriumbenzoat/Benzylchlorid/Triäthylamin untersucht und die Abhängigkeit der Reaktion von verschiedenen Parametern bestimmt. Die Ergebnisse sind durch die Annahme einer zusätzlichen Reaktionsphase an der Festkörperoberfläche erklärbar. Als Katalysator wirkt das quartäre Ammoniumion, tertiäre Amine sind nur als Vorstufe anzusehen.
    Additional Material: 9 Ill.
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  • 75
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 594-601 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: 4-Arylidene-2-phenyl-2-imidazolin-5-ones 1 react with Grignard reagents in a boiling ether-benzene mixture to yield 4-diarylmethyl derivatives 2 together with their oxidation products 3 and 4. The exocyclic double bond in 5 also undergoes addition reaction with the same reagents to yield 4-triarylmethyl derivatives 6. Alkylation of 2 affords the 4-alkylimidazolones 7 and 8.
    Additional Material: 3 Tab.
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  • 76
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 579-584 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Acidity constants of 3-, 4- and 5-chloro-o-toluidinium ions have been measured at 25° in aqueous dioxane media containing 20, 45, 70 and 72 wt.% of 1.4-dioxane by pH metry. The necessary correction factors to convert pH meter readings into stoichiometric pH have been evaluated. The relation between the strength of anilinium ions and various solvent properties has been discussed. A HAMMETT type relation has been developed for correlating the acid strength of these disubstituted anilinium ions with HAMMETT's structural parameters.
    Additional Material: 3 Ill.
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  • 77
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 642-645 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Phenylazocarbonamide liefern nach N-Chlorierung mit tert.-Butylhypochlorit in Chloroform in einer Fragmentierungsreaktion kristallines Phenyldiazoniumchlorid 4 in hoher Ausbeute. Auch N-Chlor-cyclohexyl-azocarbonamid ist fragmentierbar.
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  • 78
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 686-698 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Die Umsetzung von o-Xylylendihalogeniden mit Ammoniak und einigen seiner Derivate (Benzylamin, N,N-Diphenylhydrazin, Carbonsäurehydrazide, Harnstoff, Cyanamid) liefert Isoindolin 2, 2-substituierte Isoindolin- und o-Xylylendiaminderivate.Eine neue Methode zur Darstellung von 2 aus o-Xylylendihalogeniden und Cyanamid wird beschrieben.
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  • 79
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 706-714 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Treatment of 4-arylazo-2-alkoxy-2-thiazolin-5-ones 4a-f with glycine or phenylhydrazine effects their conversion into 1-aryl-5-alkoxy-1 H-1,2,4-triazole-3-carboxylic acid derivatives 5a-j, with the loss of hydrogen sulfide. On the other hand, the reaction of the 2-ethoxy (4a-c) and the 2-isopropyloxy (4g-i) derivatives with strong basic amines involves the loss of an alkyl mercaptan to yield the N-substituted amines 7d-j of 1-aryl-Δ2-1,2,4-triazolin-5-one-3-carboxylic acids. The 2-benzyloxy derivatives 4d-f react with the same reagents to give the N-substituted amides 2a-g of 1-aryl-Δ2-1,2,4-triazolin-5-thione-3-carboxylic acids, with the loss of benzyl alcohol.Hetero-ring opening of 4, followed by recyclisation, occurs upon treatment with ethyl or phenyl magnesium halides to yield the triazolinethione derivatives 13 a-c.
    Additional Material: 2 Tab.
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  • 80
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 722-729 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Es wird über Versuche zur Synthese von 1,3-Oxathiolium-Salzen aus S-Ketomethylen sowie o-Hydroxyphenyl-thiolester-Derivaten berichtet. Die Salze bilden sich nur bei der Einwirkung von starken Mineralsäuren (HClO4) auf o-Hydroxyphenyl-thiolester bzw. auf ihre zugehörigen Ausgangsverbindungen, während unter gleichen Bedingungen die entsprechenden S-Ketomethylenderivate nicht reagieren. Diese cyclisieren dafür aber in Gegenwart überschüssiger Thiosäuren zu 1,3-Dithiolium-Salzen, deren Struktur, ebenso wie die der 1,3-Oxathiolium-Salze, an Hand analytischer und spektroskopischer Daten gesichert wurde.
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  • 81
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 754-762 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: IR-Spektren von höheren und verzweigten Trialkylcyanosilanen bestätigen, daß diese wie das Trimethyl- und Triäthylcyanosilan aus Gemischen der Normal- und Isoform bestehen. Die Alkylgruppen haben auf die Lage der CN- und NC-Schwingungsbanden und auf das Verhältnis von Normal-: Isoform keinen Einfluß. In Bis-[dialkyl(iso)cyano]-disiloxanen, die durch Jodieren der betreffenden Dihydrogendisiloxane und anschließende Umsetzung mit Silbercyanid hergestellt wurden, tritt die Isoform stärker hervor.
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  • 82
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 768-772 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Additional Material: 2 Tab.
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  • 83
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    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Additional Material: 4 Tab.
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  • 84
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 778-780 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Additional Material: 1 Ill.
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  • 85
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 889-898 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Die Infrarotspektren von Butan-, Hexan,- Heptan-, Octan- und Decanarsonsäure sowie von Phenyl-, o-Methylphenyl-, p-Methylphenyl-, p-Äthylphenyl- und p-Diphenyl-arsonsäure werden im Bereich von 400-3500 cm-1 mitgeteilt und die Frequenzen zugeordnet. In den Spektren der Alkanarsonsäuren können im üblichen Erwartungsbereich keine As—C-Valenzschwingungen nachgewiesen werden. Die Bindung eines Phenylringes an den Arsonsäurerest macht die Spektren im Gebiet der AsO-Valenzfrequenzen unübersichtlich. Die Unterscheidung dieser Banden von den CH-out-of-plane-Schwingungen ist unsicher.
    Additional Material: 2 Ill.
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  • 86
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 905-916 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Der elektronenstoßinduzierte Abbau von Trimethylphenoxysilanen (H3C)3Si—O—C6H4R (R = —H und —Cl, —Br, —CH3, —NH2, —NO2 jeweils in ortho-, meta-und para-Stellung) wird beschrieben. Die Hauptfragmentierunsreaktion besteht in der Abspaltung eines Methylradikals vom Molekülion. Für die Ausbeute dieser Reaktion ergibt sich eine HAMMETT-Korrelation. Der Ausdruck lg [(I(M-15)/IM)R(I(M-15)/IM)H] nimmt mit steigendem Wert für die σ-Konstante zu. Diese Abhängigkeit wird auf der Grundlage der Quasi-Gleichgewichts-Theorie der Massenspektren als Folge des Substituenteneinflusses auf die Geschwindigkeit der Spaltungsreaktion und den Anteil der Molekülionen, der die zum Ablauf der Reaktion erforderliche Aktivierungsenergie besitzt, interpretiert. Zur Diskussion dieses Substituenteneffektes werden die mit der Elektronenstoßmethode bestimmten Ionisationspotentiale und die Aktivierungsenergien für die Spaltungsreaktion M+ → (M-15)+ + ·CH3 herangezogen.
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  • 87
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 935-939 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Bei Reaktion des L-α-Narcotins mit Bromcyan und nachfolgender Hydrolyse entsteht D-β-Narcotin, d.h. es tritt spezifische Inversion nur an C-1 ein. ROBINSON und Mitarbeiter hatten eine spezifische Inversion an C-9 mittels methanolischer Kalilauge verwirklicht. Durch Kombination beider Methoden lassen sich die vier Narcotin-Isomeren sowie die zwei Racemate herstellen.
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  • 88
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 969-976 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: 3 (5)-Amino-pyrazol liefert mit 1,3-Dicarbonylverbindungen R1COCH2COR2 5, 7-disubstituierte Pyrazolo[1,5-a]pyrimidine. Wenn R1 ≠ R2, erhält man definierte Bicyclen über substituierte 5-Vinylamino-1-p-toluolsulfonyl-pyrazole, z.B. 15, die aus 5-Amino-1-p-toluolsulfonyl-pyrazol, R1COCH2COR2 und katalytischen Mengen Aminsalzen gewonnen werden. Bei der Methylierung von 7-Hydroxy-5-methyl-pyrazolo [1, 5-a]pyrimidin 11 werden 4, 5-Dimethyl-(20a) und 1, 5-Dimethyl-pyrazolo [1, 5-a]pyrimidin- (7) (21a) isoliert. Ein O-Alkyl-Derivat von 11 wird aus 7-Chlor-5-methyl-pyrazolo [1,5-a]pyrimidin und C3H7ONa gewonnen. Die Strukturen 15, 20a und 21a werden durch Diskussion von τ- und J-Werten (1H-NMR-Spektren) für die Pyrazol-Protonen festgelegt.
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  • 89
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971) 
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    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 90
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 956-968 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Die Addition verschiedener elektrophiler Agenzien an ω-Methoxyolefine wurde untersucht, um Aufschluß über eine Methoxygruppenbeteiligung zu erhalten. Eine derartige Beteiligung konnte bei der Addition von Chlor und Brom an 5-Methoxypenten-(1) nachgewiesen werden; hier entstehen zu 10-15% die entsprechenden 2-Halogenmethyltetrahydrofurane, und zu 50-60% tritt Umlagerung unter Verschiebung der Methoxygruppe ein. Die Addition von Chlor oder Brom an 6-Methoxyhexen-(1) liefert zu 15-20% die entsprechenden 2-Halogenmethyltetrahydropyrane, eine Methoxylgruppenwanderung ist nicht nachweisbar. Die Reaktion von Chlor oder Brom mit 4-Methoxybuten-(1) und mit 7-Methoxyhepten-(1) liefert ausschließlich 1, 2-Additionsprodukte.Bei der Anlagerung von Chlor an Allyl-methyl-äther erhält man außer 73% 2,3-Dichlor-1-methoxypropan infolge nebenher ablaufender Dreikomponentenreaktionen 12% 1,2,3-Trichlorpropan, 7% 1,3-Dimethoxy-2-chlorpropan und 8% 1, 2-Dimethoxy-3-chlorpropan. Bei der Addition von 2,4-Dinitrophenylsulfenylchlorid und von Quecksilberacetat an ω-Methoxyolefine tritt weder Umlagerung noch Ringschluß ein. Mit 2, 4-Dinitrophenylsulfenylchlorid entstehen nebeneinander Markownikow- und anti-Markownikow-Produkte, der Anteil des Markownikow-Produktes steigt mit wachsender Kettenlänge vom Allyl-methyl-äther bis zum 7-Methoxyhepten-(1).
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  • 91
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 993-998 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The formation of ternary complexes of the type MAB (where M = Cu(II), Ni(II), Zn(II) or Cd(II); A = nitrilotriacetic acid and B = glycine, α-alanine or dl-aspartic acid) has been shown by potentiometric studies. The nature of titration curves indicates that the secondary ligand B is added stepwise to the initially formed metal nitrilotriacetates. The formation constants (log KMAB) and the free energies of formation (ΔF°) of the mixed complexes have been calculated at 25 ± 1 °C and m̈ = 0.10 (KNO3) at different pH values. The formation constants of the resulting 1:1:1 ternary complexes follow the order Cu(II) 〉 Ni(II) 〉 Zn(II) 〉 Cd(II).
    Additional Material: 3 Ill.
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  • 92
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: In conformity with the assumption that light fastness depends upon the electron density of the azo centre, it is now shown that condensation of the aldehyde function in p-aryl azo salicylaldehydes with hydroxylamine, semicarbazide, aniline, phenylhydrazine, 2,4-dinitrophenylhydrazine and ethylene diamine causes in most cases an increase in light fastness on nylon 6 as a result of the decreased electron attracting properties of the functions as compared with the aldehyde function. Aftertreatment of dyeings from arylazo salicylaldehydes or arylazo acetophenone with ethylene diamine causes a similar increase. Further confirmation of this observation is obtained in case of monoazo dyestuffs derived from salicylaldehyde and derivatives which contain the sulphonic acid group when applied as acid dyestuffs on Nylon 6. Application of the latter dyes on wool revealed an analogous tendency only in case of dyes derived from 2-naphthylamine-4, 8-disulphonic acid.
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  • 93
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    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 1051-1059 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Es werden die Elektronenanlagerungs-Massenspektren einer Reihe von 22,26-Epiminocholestanen verschiedenen Sättigungs- und Substitutionsgrades sowie unterschiedlicher Stereochemie an C-22 und C-25 vergleichend untersucht. Neben dem M-1-Peak wird als typischer Spaltprozeß bei dieser Verbindungsklasse Fragmentierung zwischen C-20 und C-22 beobachtet, die zu einem um 98 bzw. bei Acetylepiminocholestanen 140 Masseneinheiten unterhalb der Molmasse liegenden Peak führt. Eine Ausnahme bilden Δ22-ungesättigte Vertreter, bei denen eine solche Spaltung ausbleibt und die stattdessen einen charakteristischen, durch Ion-Molekül-Reaktion mit Sauerstoff resultierenden M + 14-Peak zeigen. Daneben tritt in allen Fällen Abspaltung von Wasser bzw. Acetyl auf.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
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  • 94
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    Electronic Resource
    New York, NY : Wiley-Blackwell
    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 1070-1080 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Am Beispiel einfacher Methylverbindungen CH3X wurden aus Eigenvektoren und Eigenwerten von Allvalenzelektronenrechnungen in CNDO/2-Näherung Größen berechnet, die der 13C—H-, der geminalen H—H-Kopplungskonstante bzw. der 13C-chemischen Verschiebung der Methylgruppen proportional sein sollen. Die theoretischen Größen werden mit den entsprechenden experimentellen Werten verglichen. Güte und Grenzen der Näherungsverfahren werden diskutiert.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
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  • 95
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    Electronic Resource
    New York, NY : Wiley-Blackwell
    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 1101-1109 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Mit einem Allvalenzelektronen-SCF-Verfahren - der INDO-Methode - wird die Elektronenstruktur des Tri- und Pentamethincyanins untersucht. An ausgewählten Modellen wird für die möglichen geometrischen Anordnungen der Trimethincyanin-Einzelmoleküle in Doppelmolekülen die relative energetische Stabilität abgeschätzt. Die Berechnungen bestätigen die schon früher festgestellte starke Ladungsalternation und einen weitestgehenden Bindungsausgleich entlang der Polymethinkette. Die Elektronendichteverteilung wird duch die Zusammenlagerung von Trimethincyaninmolekülen zu Doppelmolekülen wenig verändert. Das Modell mit einer „mauerwerkartigen“ Anordnung erweist sich als das stabilste.
    Additional Material: 3 Ill.
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  • 96
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    Electronic Resource
    New York, NY : Wiley-Blackwell
    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 1118-1124 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Eine auf Acrylnitril und Hydrazin basierende Synthese von 3(5)-Hydroxy-pyrazol 5a durch Sulfinateliminierung aus 1-(p-Toluolsulfonyl)-pyrazolidon-(3) in nicht-wäßrigem Milieu wird beschrieben. Die Methylierung von 5a liefert Gemische von 5-Hydroxy-1-methyl-pyrazol 5b und 1,2-Dimethyl-pyrazolon-(3) 7. 5b wird chemisch eindeutig durch Sulfinateliminierung aus 2-Methyl-1-(p-toluolsulfonyl)-pyrazolidon-(3), 5-Hydroxy-1-cyclohexyl-pyrazol durch Dehydrieren von 2-Cyclohexyl-pyrazolidon-(3) gewonnen. Die Methylierung von 5a mit 2 Mol p-Toluolsulfonsäure-methylester in DMF liefert in guter Ausbeute 7, analog ergibt 3(5)-Hydroxy-5(3)-methyl-pyrazol 1,2,5-Trimethyl-pyrazolon-(3).
    Type of Medium: Electronic Resource
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  • 97
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    Electronic Resource
    New York, NY : Wiley-Blackwell
    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 1125-1130 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Phenol und Anilin werden durch Rhodanamin 1 in para-Stellung rhodaniert, p-Toluidin in ortho-Stellung. Acetophenon ergibt unter Verbrauch von zwei Mol 1 2-Amino-4-phenyl-5-rhodano-thiazol 6. Von β-Dicarbonylverbindungen abgeleitete Enamine 7 a, b, c werden zu Rhodan-enaminen 8 a, b, c rhodaniert, aus denen leicht Amino-thiazole, das Dithiin 10 und das Thiazolon 11 erhalten werden können.
    Type of Medium: Electronic Resource
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  • 98
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    Electronic Resource
    New York, NY : Wiley-Blackwell
    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 31-44 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Für die Synthese von heterologen Indanon-(2)-Derivaten werden eine Reihe von ortho-Bis-acetonitrilen und die entsprechenden Diessigsäuren und -ester, wie z. B. Pyrrol- und Thiophen-3, 4-bis-acetonitrile sowie-3,4-diessigsäureester dargestellt. Die DIECKMANN-Cyclisierung führt nur bei dem Thiophenderivat 8 in guter Ausbeute zum gewünschten Ketoester 18, dessen tautomere Formen NMR-spektroskopisch charakterisiert wurden. Aus 18 wird ein Thiophen-Analoges zum Indanon-(2) 19 in hoher Ausbeute erhalten. Dagegen ergibt die Pyrrolverbindung 12 bei gleicher Synthesenfolge nur Spuren des Heterologen 22. Das Ausbleiben des Ringschlusses beim Pyrrolabkömmling aus geometrischen Gründen wird als unwahrscheinlich angesehen.
    Additional Material: 1 Ill.
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  • 99
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Bei der gemeinsamen Einwirkung von Phenolen und N-Methylanilin auf Arylcyanate katalysieren die Phenole die N-Methylanilin-Addition zu Isoharnstoffen und N-Methylanilin die Phenol-Addition zu Kohlensäure-diesterimiden. Die Reaktionen verlaufen über sechsgliedrige übergangszustände und sind durch stark negative Aktivierungsentropien (≈ -43 cal/Mol · grd) gekennzeichnet. Substituenteneffekte wirken sich unterschiedlich aus. Bei substituierten Arylcyanaten ist die Elektrophilie der OCN-Gruppe, bei substituierten Phenolen die Stärke der Assoziate maßgebend für die Reaktionsgeschwindigkeit. In den letzteren Fällen lassen sich daher die Additionsgeschwindigkeiten durch lineare Beziehungen der Form lg k = a · Δ\documentclass{article}\pagestyle{empty}\begin{document}$ \widetilde{v} $\end{document}OH - b beschreiben.
    Additional Material: 3 Ill.
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  • 100
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    Electronic Resource
    New York, NY : Wiley-Blackwell
    Journal für Praktische Chemie/Chemiker-Zeitung 313 (1971), S. 115-128 
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Pyrazolidon-(3) und dessen C-Alkyl-Derivate werden am N-1 acetyliert und benzoyliert, Aus 1-Acyl-pyrazolidonen-(3) erhält man mit Dimethylsulfat in Wasser oder DMF 2-Methyl-1-acyl-pyrazolidone-(3), mit Benzylhalogeniden in Alkoholen oder Methyläthylketon 2-Benzyl-1-acyl-pyrazolidone-(3), dagegen mit Diäthylsulfat in Alkoholen, Methyläthylketon oder DMF das O-Äthyl-Derivat, z. B. 3-Äthoxy-1-benzyol-Δ-pyrazolin. Die N-2-substituierten 1-Acyl-pyrazolidone-(3) werden sauer zu 2-substituierten Pyrazolidonen-(3) hydrolysiert. Alle Strukturen sind durch kritische Diskussion des chemischen Verhaltens, der IR- und 1H-NMR. Spektren gesichert.Durch Cu-katalysierte saure Dehydrogenierung von 2-Methyl-pyrazolidon-(3) und von 2-Methyl-1-acetyl-pyrazolidon-(3) erhält man nahezu quantitativ 5-Hydroxy-1-methylpyrazol, entsprechend aus 2-Benzyl-pyrazolidon-(3) (8e) 5-Hydroxy-1-benzyl-pyrazol. Die Alkalispaltung von 8e liefert 1-(β-Carboxy-äthyl)-2-benzyl-hydrazin.
    Additional Material: 3 Tab.
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