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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Meccanica 18 (1983), S. 236-245 
    ISSN: 1572-9648
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Description / Table of Contents: Summary In this paper we expound a general method for analyzing structures of helicoidal configuration, both in their geometrical conformation and in their load distribution. The asymptotic solution is obtained, in elastic range, by the use of a particular strip element of helicoidal form. After having described the type of strip and the solution method, we conclude by applying the said method in the study of the stress state in a drill-head. Some of the results thus calculated are compared with those obtained from experiments carried out.
    Notes: Sommario Viene esposto un metodo generale per l'analisi elastica di strutture illimitatamente elicoidali, vuoi nella geometria, vuoi nella distribuzione dei carichi, La soluzione asintotica viene ottenuta mediante discretizzazione impiegando elementi a «strip» conformati ad elicoide. Dopo la descrizione dell'elemento a «strip» e del processo generale di calcolo, ne è illustrata l'applicazione all'analisi delle tensioni di una punta da trapano. I risultati numerici ottenuti vengono poi confrontati con alcuni rilievi sperimentali.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 35 (1992), S. 255-282 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Static discontinuities (i.e. distributions of forces along a line or a surface, implying a jump of tractions across it) and kinematic (displacement) discontinuities are considered simultaneously as sources acting on the unbounded elastic space Ω∞ along the boundary Γ of a homogeneous elastic body Ω embedded in Ω∞. The auxiliary elastic state thus generated in the body is associated with the actual elastic state by a Betti reciprocity equation. Using suitable discretizations of actual and fictitious boundary variables, a symmetric Galerkin formulation of the direct boundary element method is generated.The following topics are addressed: reciprocity relations among kernels with particular attention to the role of singularities; conditions to be satisfied by the boundary field modelling in order to achieve the symmetry of the coefficient matrix; variational properties of the solution.With reference to two-dimensional problems, a technique based on a complex-variable formalism is proposed to perform the double integrations involved in this approach. An implementation of this technique for elastic analysis is described assuming straight elements, with continuous linear displacements and piecewise-constant tractions; all the double integrations are carried out analytically.Comparisons, from the computational standpoint, with the traditional non-symmetric method based on collocation and single integration, demonstrate the effectiveness of the present approach.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
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