Abstract
The stability of the equilibrium states of a simple mechanical system with unilateral contact and Coulomb friction is explored. When the external force is constant, the equilibrium states are completely determined by the mechanical properties of the system and the stability or instability of each of these states is proved. When the external force varies in time two stability results are given.
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References
Ballard P. and Basseville S. (2005) Existence and uniqueness for dynamical unilateral contact with Coulomb friction: a model problem. Math. Modelling and Num. Analysis
Basseville S., Leger A. and Pratt E. (2003) Investigation of the equilibrium states and their stability for a simple model with unilateral contact and Coulomb friction. Arch. Appl. Mechanics 73: 409–420
Jean M. (1999) The nonsmooth contact dynamics method. Cmp. Meth. Appl. Mech. Engn. 177: 235–257
Klarbring A. (1990) Examples of nonexistence and nonuniqueness of solutions to quasistatic contact problems with friction. Ing. Arch. 60: 529–541
Martins J.A.C., Monteiro Marques M.D.P. and Gastaldi F. (1994) On an example of nonexistence of solution to a quasistatic frictional contact problem, Eur. J. Mech. A/Solids 13: 113–133
Monteiro Marquess M.D.P. (1993) Differential Inclusions in Nonsmooth Mechanical Problems. Birkhäuser, Basel Boston Berlin
Moreau J.J. (1988) Standard inelastic shocks and the dynamics of unilateral constraints. In: Del Piero G, Marceri F. (eds) Unilateral Problems in Structural Analysis. Springer Verlag, Berlin Heidelberg New York
Moreau J.J. (1993) Unilateral contact and dry friction in finite freedom dynamics. In: Moreau J.J., Panagiotopoulos D.D. (eds) Nonsmoooth Mechanics and Applications. CISM Courses and Lectures 302, Springer-Verlag, Berlin Heidelberg New York.
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Ballard, P., Léger, A., Pratt, E. (2006). Stability of discrete systems involving shocks and friction. In: Wriggers, P., Nackenhorst, U. (eds) Analysis and Simulation of Contact Problems. Lecture Notes in Applied and Computational Mechanics, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31761-9_38
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DOI: https://doi.org/10.1007/3-540-31761-9_38
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-31760-9
Online ISBN: 978-3-540-31761-6
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