An overview of numerical methods for discrete dynamical systems with frictionless unilateral constraints: mathematical issues and convergence results
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Publication:6621119
DOI10.4064/bc127-10MaRDI QIDQ6621119
Publication date: 17 October 2024
measure differential inclusionsconvergence resultstime-stepping schemesfrictionless unilateral constraintsvibro-impact problems
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Dynamics of multibody systems (70E55)
Cites Work
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- Dynamic contact of a beam against rigid obstacles: convergence of a velocity-based approximation and numerical results
- A proximal-like method for a class of second order measure-differential inclusions describing vibro-impact problems
- 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
- Convergence for the prime integral equations connected with the elastic unidimensional bounce problem
- A time-stepping scheme for inelastic collisions. Numerical handling of the nonoverlapping constraint.
- A sweeping process approach to inelastic contact problems with general inertia operators
- A constructive method of establishing the validity of the theory of systems with non-retaining constraints
- Uniqueness in the elastic bounce problem
- On the approximation of the elastic bounce problem on Riemannian manifolds
- Uniqueness in the elastic bounce problem. II
- A unified variational model for the dynamics of perfect unilateral constraints
- Mémoire sur la théorie des liaisons finies unilatérales.
- The dynamics of discrete mechanical systems with perfect unilateral constraints
- Uniqueness and continuous dependence on data for one-dimensional impact problems.
- Resonance in impact problems.
- The restitution coefficient for a linear elastic rod.
- An existence result for non-smooth vibro-impact problems
- Bounce problem with weak hypotheses of regularity
- Numerical aspects of the sweeping process
- A convergence result for a vibro-impact problem with a general inertia operator
- Numerical simulation of the dynamics of an impacting bar
- Vibrations of a beam between two stops
- Motion under a strong constraining force
- Vibrations of a beam between obstacles. Convergence of a fully discretized approximation
- 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
- 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
- AN EXISTENCE RESULT FOR VIBRATIONS WITH UNILATERAL CONSTRAINTS
- Convex Analysis
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