Higher order event capturing time-stepping schemes for nonsmooth multibody systems with unilateral constraints and impacts

作者：Acary Vincent^*

来源：Applied Numerical Mathematics, 2012, 62(10): 1259-1275.

DOI：10.1016/j.apnum.2012.06.026

• Multibody systems
• Nonsmooth mechanics
• Unilateral constraints
• Impact
• Moreau's sweeping process
• Numerical integration scheme
• Adaptive time-step strategy
• Order of accuracy
• Error estimates

The article is devoted to the study of higher order time integration methods for multibody systems with unilateral constraints. After a brief presentation of the mathematical modeling of nonsmooth multibody systems, several estimates on the local error of consistency of the Moreau time-stepping scheme are given. Based on these estimates, an attempt at an adaptive time-step strategy is presented with academic examples. Finally, higher order event-capturing methods are designed by coupling implicit Runge-Kutta schemes and Moreau's time-stepping scheme.

• 出版日期2012-10
• 单位INRIA