Higher order event capturing time-stepping schemes for nonsmooth multibody systems with unilateral constraints and impacts
type: Item
instance of: scholarly article
title: Higher order event capturing time-stepping schemes for nonsmooth multibody systems with unilateral constraints and impacts
zbMATH Open document ID: 1351.70005
author: Vincent Acary
published in: Applied Numerical Mathematics
publication date: 2012-09-26T00:00:00Z
full work available at URL: VAHO.pdf
Mathematics Subject Classification ID: 70E55
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 70F10
zbMATH DE Number: 6086858
zbMATH Keywords: multibody systems
zbMATH Keywords: nonsmooth mechanics
zbMATH Keywords: unilateral constraints
zbMATH Keywords: impact
zbMATH Keywords: Moreau's sweeping process
zbMATH Keywords: numerical integration scheme
zbMATH Keywords: adaptive time-step strategy
zbMATH Keywords: order of accuracy
zbMATH Keywords: error estimates
describes a project that uses: RODAS
MaRDI profile type: Publication
OpenAlex ID: W2134333398
cites work: Q2765780
cites work: Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
cites work: Implicit Euler numerical scheme and chattering-free implementation of sliding mode systems
cites work: A perturbation analysis for the dynamical simulation of mechanical multibody systems
cites work: Numerical methods for simulation in applied dynamics
cites work: Simulation techniques for applied dynamics. Proceedings of the advanced school, CISM, Udine, Italy, September 17--21, 2007
cites work: The dynamics of discrete mechanical systems with perfect unilateral constraints
cites work: Q3993493
cites work: Nonsmooth mechanics. Models, dynamics and control.
cites work: A sweeping process approach to inelastic contact problems with general inertia operators
cites work: Automatic integration of Euler-Lagrange equations with constraints
cites work: Q4714145
cites work: Solving Ordinary Differential Equations I
cites work: Comparison of several numerical methods for mechanical systems with impacts
cites work: Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints I: Convergence Results for Backward Differentiation Formulas
cites work: A unified variational model for the dynamics of perfect unilateral constraints
cites work: One-step methods of any order for ordinary differential equations with discontinuous right-hand sides
cites work: Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
cites work: Approximation en graphe d'une évolution discontinue
cites work: Q3666312
cites work: Q3482915
cites work: Q3804974
cites work: Numerical aspects of the sweeping process
cites work: A Numerical Scheme for Impact Problems I: The One-Dimensional Case
cites work: A Numerical Scheme for Impact Problems II: The Multidimensional Case
cites work: Q4229077
cites work: Q5638112
cites work: A class of nonlinear differential equations of second order in time
cites work: Convergence of a time-stepping scheme for rigid-body dynamics and resolution of Painlevé's problem
cites work: Rigid-Body Dynamics with Friction and Impact
cites work: Numerics of unilateral contacts and friction. Modeling and numerical time integration in non-smooth dynamics
cites work: Step size adjustment and extrapolation for time-stepping schemes in non-smooth dynamics
DOI: 10.1016/J.APNUM.2012.06.026
description: scientific article; zbMATH DE number 6086858