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
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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© 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
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