A proximal-like method for a class of second order measure-differential inclusions describing vibro-impact problems

DOI10.1016/j.jde.2010.10.010zbMath1323.70056OpenAlexW2051740906MaRDI QIDQ616481

L. Paoli

Publication date: 10 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.jde.2010.10.010

zbMATH Keywords

Newton's impact lawfrictionless unilateral constraintsmeasure-differential inclusionmulti-constraint caseproximal-like methodsvibro-impact problems

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Ordinary differential inclusions (34A60) Impact in solid mechanics (74M20) Discontinuous ordinary differential equations (34A36) Dynamics of multibody systems (70E55)

Related Items (10)

Analysis of collocated feedback controllers for four-bar planar mechanisms with joint clearances ⋮ Inertial couplings between unilateral and bilateral holonomic constraints in frictionless Lagrangian systems ⋮ Vibro-Impact Problems with Dry Friction---Part I: Existence Result ⋮ 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 ⋮ On the response of autonomous sweeping processes to periodic perturbations ⋮ 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 ⋮ A catching-up algorithm for multibody dynamics with impacts and dry friction ⋮ A dynamic thermo-mechanical actuator system with contact and Barber's heat exchange boundary conditions

Cites Work

• Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
• Time-stepping approximation of rigid-body dynamics with perfect unilateral constraints. II: The partially elastic impact case
• A sweeping process approach to inelastic contact problems with general inertia operators
• A unified variational model for the dynamics of perfect unilateral constraints
• The dynamics of discrete mechanical systems with perfect unilateral constraints
• An existence result for non-smooth vibro-impact problems
• A convergence result for a vibro-impact problem with a general inertia operator
• A class of nonlinear differential equations of second order in time
• Mouvement à un nombre fini de degrés de liberté avec contraintes unilatérales : cas avec perte d'énergie
• Time discretization of vibro‐impact
• Penalty method for impact in generalized coordinates
• Non-Absolutely Convergent Integrals with Respect to Functions of Bounded Variation
• CONTINUOUS DEPENDENCE ON DATA FOR VIBRO-IMPACT PROBLEMS
• A Numerical Scheme for Impact Problems I: The One-Dimensional Case
• AN EXISTENCE RESULT FOR VIBRATIONS WITH UNILATERAL CONSTRAINTS
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