Time-stepping approximation of rigid-body dynamics with perfect unilateral constraints. I: The inelastic impact case

DOI10.1007/s00205-010-0311-0zbMath1278.70012OpenAlexW2067360399MaRDI QIDQ717180

L. Paoli

Publication date: 27 September 2011

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-010-0311-0

zbMATH Keywords

convergencesecond-order differential inclusiondiscrete mechanical system

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Dynamics of multibody systems (70E55) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (6)

Existence of solutions for a Lipschitzian vibroimpact problem with time-dependent constraints ⋮ Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations ⋮ Dynamic contact of a beam against rigid obstacles: convergence of a velocity-based approximation and numerical results ⋮ The formulation of dynamical contact problems with friction in the case of systems of rigid bodies and general discrete mechanical systems -- Painlevé and Kane paradoxes revisited ⋮ Existence of solutions for second-order differential inclusions involving proximal normal cones ⋮ Time-stepping approximation of rigid-body dynamics with perfect unilateral constraints. II: The partially elastic impact case

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• A Numerical Scheme for Impact Problems I: The One-Dimensional Case
• Approximation et existence en vibro-impact
• Penalty approximation for non-smooth constraints in vibroimpact

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