An existence result for non-smooth vibro-impact problems

DOI10.1016/j.jde.2004.11.008zbMath1078.34004OpenAlexW2088377073MaRDI QIDQ1775524

Laetitia Paoli

Publication date: 4 May 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.11.008

zbMATH Keywords

convergenceexistencemeasure differential inclusionvibro-impactinelastic shockstime-discretization schemenonsmooth convex constraints

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Ordinary differential inclusions (34A60) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items (16)

Existence of solutions for a Lipschitzian vibroimpact problem with time-dependent constraints ⋮ Vibrations of a beam between two rigid stops: strong solutions in the framework of vector-valued measures ⋮ On a second-order functional evolution problem with time and state dependent maximal monotone operators ⋮ Asymptotics for some vibro-impact problems with a linear dissipation term ⋮ Modeling, analysis and simulations of a dynamic thermoviscoelastic rod-beam system ⋮ Perturbed evolution problems with continuous bounded variation in time and applications ⋮ A proximal-like method for a class of second order measure-differential inclusions describing vibro-impact problems ⋮ Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations ⋮ Global dynamics of a non-smooth system with elastic and rigid impacts and dry friction ⋮ Dynamic contact of a beam against rigid obstacles: convergence of a velocity-based approximation and numerical results ⋮ Existence and approximation for vibro-impact problems with a time-dependent set of constraints ⋮ Timestepping schemes for nonsmooth dynamics based on discontinuous Galerkin methods: definition and outlook ⋮ Controllable systems with impacts ⋮ Existence of solutions for second-order differential inclusions involving proximal normal cones ⋮ Time-stepping approximation of rigid-body dynamics with perfect unilateral constraints. I: The inelastic impact case ⋮ Set-valued perturbation to second-order evolution problems with time-dependent subdifferential operators

Cites Work

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• Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
• A unified variational model for the dynamics of perfect unilateral constraints
• The dynamics of discrete mechanical systems with perfect unilateral constraints
• Penalty approximation for dynamical systems submitted to multiple non-smooth constraints
• Integrals which are convex functionals. II
• Mouvement à un nombre fini de degrés de liberté avec contraintes unilatérales : cas avec perte d'énergie
• Penalty method for impact in generalized coordinates
• CONTINUOUS DEPENDENCE ON DATA FOR VIBRO-IMPACT PROBLEMS
• 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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