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

被引：30
|
作者：
Acary, Vincent [1 ]
机构：
[1] INRIA Grenoble Rhone Alpes, F-38334 Saint Ismier, France
来源：
APPLIED NUMERICAL MATHEMATICS | 2012年 / 62卷 / 10期
关键词：
Multibody systems; Nonsmooth mechanics; Unilateral constraints; Impact; Moreau's sweeping process; Numerical integration scheme; Adaptive time-step strategy; Order of accuracy; Error estimates; RIGID-BODY DYNAMICS; DIFFERENTIAL-EQUATIONS; MECHANICAL SYSTEMS; NUMERICAL-METHODS; SIMULATION; CONVERGENCE;
D O I：
10.1016/j.apnum.2012.06.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：1259 / 1275
页数：17
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