Existence of solutions for a Lipschitzian vibroimpact problem with time-dependent constraints
DOI10.1186/s13663-022-00713-yOpenAlexW4210381395MaRDI QIDQ2138463
Publication date: 12 May 2022
Published in: Fixed Point Theory and Algorithms for Sciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13663-022-00713-y
time-stepping schemeprox-regularitysolution existenceinelastic collisiontime-dependent constraintClarke's normal conevibroimpact problem
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential inclusions (34A60) Stability and convergence of numerical methods for ordinary differential equations (65L20)
Cites Work
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- Stochastic perturbation of sweeping process and a convergence result for an associated numerical scheme
- Existence results for nonsmooth second-order differential inclusions, convergence result for a numerical scheme and application to the modeling of inelastic collisions
- Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
- 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
- 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
- Asymptotics for some vibro-impact problems with a linear dissipation term
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- 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
- Well-posedness of nonconvex degenerate sweeping process via unconstrained evolution problems
- Existence and approximation for vibro-impact problems with a time-dependent set of constraints
- A proximal-like algorithm for vibro-impact problems with a non-smooth set of constraints
- A position-based time-stepping algorithm for vibro-impact problems with a moving set of constraints
- A convergence result for a vibro-impact problem with a general inertia operator
- Preservation of Prox-Regularity of Sets with Applications to Constrained Optimization
- Optimization and nonsmooth analysis
- Mouvement à un nombre fini de degrés de liberté avec contraintes unilatérales : cas avec perte d'énergie
- Penalty method for impact in generalized coordinates
- A Numerical Scheme for Impact Problems I: The One-Dimensional Case
- A Numerical Scheme for Impact Problems II: The Multidimensional Case
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