Transitions and singularities during slip motion of rigid bodies

DOI10.1017/S0956792518000062zbMath1405.37074arXiv1708.09690OpenAlexW2963580841MaRDI QIDQ4962510

Péter L. Várkonyi

Publication date: 5 November 2018

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09690

zbMATH Keywords

rigid body dynamicsfrictionsingularitycontact dynamicspiecewise smooth systems

Mathematics Subject Classification ID

Problems involving a system of particles with friction (70F40) Motion of a rigid body in contact with a solid surface (70E18) Collision of rigid or pseudo-rigid bodies (70F35) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Contact systems (37J55)

Related Items (1)

The Geometry of the Painlevé Paradox

Cites Work

• Dynamics and bifurcations of non-smooth mechanical systems
• Mode coupling instability in friction-induced vibrations and its dependency on system parameters including damping
• Asymptotic analysis of Painlevé's paradox
• Periodic motion and bifurcations induced by the Painlevé paradox
• New results on Painlevé paradoxes
• Piecewise-smooth dynamical systems. Theory and applications
• Friction-induced reverse chatter in rigid-body mechanisms with impacts
• The Painlevé paradox in contact mechanics
• On the regularization of impact without collision: the Painlevé paradox and compliance

This page was built for publication: Transitions and singularities during slip motion of rigid bodies