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  • 1
    Electronic Resource
    Electronic Resource
    Survey of the theory of local slip in the elastic contact region with dry friction (1971)
    Springer
    International applied mechanics 7 (1971), S. 472-482 
    Details
    ISSN: 1573-8582
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00887596
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    The principle of virtual work and its dual for contact problems (1986)
    Springer
    Archive of applied mechanics 56 (1986), S. 453-467 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht In der 1. Hälfte dieses Aufsatzes werden die Variationsgleichungen der virtuellen Arbeit und ihr Dual, die komplementäre virtuelle Arbeit, formuliert für Reibungskontaktprobleme mit großen Verschiebungen, ohne die materiellen Eigenschaften des Werkstoffes zu berücksichtigen. Möglichst viele Terme werden als Variationen eines Funktionals formuliert. Nur die Terme, welche die Reibungsgrenze enthalten, sind ausgenommen. In der 2. Hälfte wird die Bedeutung der Theorie für die Berechnung des Reibungskontakts hervorgehoben.
    Notes: Summary In the first half of this paper, the variational inequalities of virtual work and its dual, the complementary virtual work are formulated for frictional contact problems with large deformations without restriction on the material properties of the bulk material. Care has been taken to formulate as many as possible terms as variations of a functional. Only the terms involving the frictional traction bound are excepted. Next the significance of the theory for the calculation of frictional contact is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00533832
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  • 3
    Electronic Resource
    Electronic Resource
    On robots with flexible links: dynamics, control and stability (1987)
    Springer
    Archive of applied mechanics 57 (1987), S. 16-24 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht Es wird gezeigt, daß ein möglicherweise redundanter Roboter mit steifen Gliedern, welche in den Drehgelenken angetrieben werden, für jeden denkbaren gegebenen Weg der Drehpunkte stabilisiert werden kann. Dieses Resultat gilt ganz allgemein für Roboter mit steifen, jedoch flexiblen Gliedern. Die Lagrangeschen Bewegungsgleichungen werden zur Beschreibung des Roboters benutzt. Die Regelungen sind die polygenen generalisierten Kräfte, die den Lagrangeschen Koordinaten entsprechen. Die stabilisierenden Regelungen werden hergeleitet. Beispiele sind der Behandlung der allgemeinen Theorie vorangestellt.
    Notes: Summary It is shown that a possibly redundant robot with rigid links which is driven at the nodes can be stabilized for any feasible, given path of the nodes. This result is generalized to robots with stiff yet flexible links. The Lagrangean equations of motion are used as a description of the robot. The controls are the polygenic generalized forces corresponding to the Lagrangean coordinates. The stabilizing controls are exhibited. Examples precede the general theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00536808
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  • 4
    Electronic Resource
    Electronic Resource
    A solution for the narrow rectangular punch (1977)
    Springer
    Journal of elasticity 7 (1977), S. 213-218 
    Details
    ISSN: 1573-2681
    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: Zusammenfassung Dieser Aufsatz behandelt das Problem eines starren, flachen Stempels mit rechteckigen Grundriss, der in einen elastischen Halbraum gepresst wird. Eine Näherungslösung wird erzeugt mittels der Integralgleichung des elastischen Linienkontakts. Die auf dieser Weise gewonnene Ergebnisse werden mit einer schon bekannten Näherungslösung verglichen.
    Abstract: Résumé Dans ce rapport, on considère le problème d'un cachet rigide à base plane rectangulaire qui est poussée dans une semi-espace élastique. Une solution approximative est générée par application de l'équation integrale du contact élastique de ligne. Les résultats produits par cette méthode sont comparés à une solution approximative déjà connue.
    Notes: Abstract This paper considers the problem of a rectangular flat ended punch acting on an elastic half-space. An approximate solution is generated through application of the elastic line integral equations. The results produced by this method are then compared with another approximate solution already available.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00041093
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  • 5
    Electronic Resource
    Electronic Resource
    Localization of non-linearities in the cochlea (1975)
    Springer
    Journal of engineering mathematics 9 (1975), S. 11-20 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary An attempt is made to locate the non-linear sources inside the cochlea. The possible sources can be divided in several classes: of no significance are the perilymph, the endolymph and the impedances of Reissner's membrane and the basilar membrane; of little significance is the motion of the mentioned membranes in their own plane; of uncertain significance are the oval window impedance and the spiral coiling of the cochlea, while the mechanism of tectorial membrane, haircells and organ of Corti is likely to be an important source of non-linearity. Moreover the widely used membrane equation is improved in the course of the work.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01535493
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  • 6
    Electronic Resource
    Electronic Resource
    The elastostatic approach to compression of a cracked medium with dry friction (1983)
    Springer
    Journal of engineering mathematics 17 (1983), S. 109-124 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary In the frame of a linear elastic material compression of a cracked plane is considered. Friction during a mutual sliding of the crack surfaces can be responsible for some non-linear effects, in particular, for hysteresis. A rigorous solution to the problem of non-axisymmetric compression of a space weakened by a circular crack with dry friction is given. This solution is obtained in displacements and the field of displacements is represented in elementary functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00036594
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  • 7
    Electronic Resource
    Electronic Resource
    A minimum principle for frictionless elastic contact with application to non-Hertzian half-space contact problems (1972)
    Springer
    Journal of engineering mathematics 6 (1972), S. 193-206 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary A variational principle governing the frictionless contact between two elastic bodies is established, which is valid both for linear and for non-linear elasticity. In the case of linear elasticity it appears to lead to an infinite dimensional convex quadratic programming problem. It is applied to the half-space geometry in linear elasticity and it is established that non-Hertzian normal half-space contact problems are physically meaningful. A Hertzian and a non-Hertzian normal contact problem are investigated numerically, to which end the principle is discretised on a triangular network. In the case of the Hertz problem it is found that the exact relationships between penetration, maximum pressure, and total normal force are well satisfied. The form of the contact area is given only crudely, unless the discretisation network is considerably refined. It appeared that such a refinement is only necessary close to the edge, in which case passable results will be obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01535102
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  • 8
    Electronic Resource
    Electronic Resource
    On the adequacy of the Peterson-Bogert model and on the effects of viscosity in cochlear dynamics (1974)
    Springer
    Journal of engineering mathematics 8 (1974), S. 149-156 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary Based on a simplified model of the cochlea a one-dimensional approach (the Peterson-Bogert model) is compared with a three-dimensional one. The results appear to be in agreement provided the impedance of the partition is large. This is true for low frequencies except in the region of maximum membrane amplitude. For low frequencies, moreover, the fluid can be considered as incompressible. The influence of the viscosity is investigated by localizing the entire viscous force in a boundary layer. This layer is shown to occur in the fluid. Besides it is concluded that the rotation is approximately largest where the membrane has its maximum amplitude. This can be an explanation for the appearance of eddies at that point.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02353617
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  • 9
    Electronic Resource
    Electronic Resource
    A two-dimensional model for the cochlea (1975)
    Springer
    Journal of engineering mathematics 9 (1975), S. 353-365 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary A two-dimensional model for the cochlea is developed. An integral equation is derived that describes the pressure difference between the scalae. For the main quantity, the transmembrane pressure, an ordinary differential equation is obtained, which appears to be an improvement of the well-known Peterson-Bogert equation. The results are valid for all frequencies; an assumption of long or short wavelengths is not necessary at all.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01540672
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    Paper (German National Licenses)
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  • 10
    Electronic Resource
    Electronic Resource
    The computation of three-dimensional rolling contact with dry friction (1979)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1293-1307 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this paper the computer code Duvorol, dealing with the computation of three-dimensional rolling contact with dry friction, is described. It is based on the variational principle of Duvaut and Lions for dry friction, which leads to an incremental theory. The relevant properties of Duvorol are:1Generality. All half-space steady-state rolling contact problems with Hertzian normal contact can be treated.2Reliability. The total tangential force is always found with reasonable accuracy by a standard discretization.3Speed. On an IBM 370/158 the calculation of a case then takes only several seconds.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620140904
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