On the equilibria and qualitative dynamics of a forced nonlinear oscillator with contact and friction

DOI10.3934/DCDSS.2016009zbMath1404.70055OpenAlexW4302554668MaRDI QIDQ321655

Elaine Pratt, Alain Léger

Publication date: 14 October 2016

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2016009

zbMATH Keywords

Coulomb frictionequilibrium statesunilateral contactSD oscillatormass-spring systemsnon-smooth dynamics

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Problems involving a system of particles with friction (70F40)

Cites Work

• Unnamed Item
• Some problems about elastic-plastic post-buckling
• Investigation of the equilibrium states and their stability for a simple model with unilateral contact and Coulomb friction
• The non-smooth contact dynamics method
• Existence and uniqueness of solutions to dynamical unilateral contact problems with coulomb friction: the case of a collection of points

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