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Standard Inelastic Shocks and the Dynamics of Unilateral Constraints

  • Conference paper
Unilateral Problems in Structural Analysis

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 288))

Abstract

This paper is devoted to mechanical systems with a finite number of degrees of freedom; let q1,...,qn denote (possibly local) coordinates in the configuration manifold Q. In addition to the constraints, bilateral and frictionless, which have permitted such a finite-dimensional parametrization of Q, we assume the system submitted to a finite family of unilateral constraints whose geometrical effect is expressed by v inequalities

$${f_\alpha }\left( q \right) \leq 0$$
(1.1)

defining a closed region L of Q. As every greek index in the sequel, α takes its values in the set {1,2,...,v}. The v functions fα are supposed C1, with nonzero gradients, at least in some neighborhood of the respective surfaces fα = 0; for the sake of simplicity, we assume them independent of time.

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Author information

Authors and Affiliations

  1. Institut de Mathématiques, Université des Sciences et Techniques du Languedoc, Montpellier, France

    J. J. Moreau

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  1. J. J. Moreau
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Editors and Affiliations

  1. Istituto di Meccanica Teorica ed Applicata, Università di Udine, Viale Ungheria 43, 33100, Udine, Italy

    Gianpietro Del Piero

  2. Facoltà di Ingegneria, II Università di Roma, Via Orazio Raimondo — La Romanina, 00173, Roma, Italy

    Franco Maceri

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© 1985 Springer-Verlag Wien

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Moreau, J.J. (1985). Standard Inelastic Shocks and the Dynamics of Unilateral Constraints. In: Del Piero, G., Maceri, F. (eds) Unilateral Problems in Structural Analysis. International Centre for Mechanical Sciences, vol 288. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2632-5_9

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  • DOI: https://doi.org/10.1007/978-3-7091-2632-5_9

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81859-6

  • Online ISBN: 978-3-7091-2632-5

  • eBook Packages: Springer Book Archive

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