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

被引：29
|
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.
引用
收藏
页码：1259 / 1275
页数：17
相关论文
共 50 条
  • [1] Projected event-capturing time-stepping schemes for nonsmooth mechanical systems with unilateral contact and Coulomb's friction
    Acary, Vincent
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2013, 256 : 224 - 250
  • [2] A Time-Stepping Scheme for Multibody Dynamics with Unilateral Constraints
    Paoli, Laetitia
    RECENT ADVANCES IN CONTACT MECHANICS, 2013, 56 : 205 - 220
  • [3] A VELOCITY-BASED TIME-STEPPING SCHEME FOR MULTIBODY DYNAMICS WITH UNILATERAL CONSTRAINTS
    Paoli, Laetitia
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2013, 6 (06): : 1609 - 1619
  • [4] CONVERGENCE OF A CLASS OF SEMI-IMPLICIT TIME-STEPPING SCHEMES FOR NONSMOOTH RIGID MULTIBODY DYNAMICS
    Gavrea, Bogdan I.
    Anitescu, Mihai
    Potra, Florian A.
    SIAM JOURNAL ON OPTIMIZATION, 2008, 19 (02) : 969 - 1001
  • [5] A time-stepping scheme for quasistatic multibody systems
    Trinkle, J. C.
    Berard, Stephen
    Pang, J. S.
    PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, VOL 6, PTS A-C, 2005, : 497 - 504
  • [6] A time-stepping scheme for quasistatic multibody systems
    Trinkle, JC
    Berard, S
    Pang, JS
    ISATP 2005: IEEE INTERNATIONAL SYMPOSIUM ON ASSEMBLY AND TASK PLANNING (ISATP), 2005, : 174 - 181
  • [7] Time-stepping schemes for mechanical systems
    Acary, Vincent
    Brogliato, Bernard
    Lecture Notes in Applied and Computational Mechanics, 2008, 35 : 285 - 317
  • [8] A time-stepping method for multibody systems involving frictional impacts and phases with persistent contact
    Passas, P.
    Natsiavas, S.
    MECHANISM AND MACHINE THEORY, 2022, 169
  • [9] Time-stepping for multibody dynamics with friction-affected bilateral constraints
    Fu, Li
    Wang, Qi
    Wang, Shimin
    PROGRESS IN NATURAL SCIENCE-MATERIALS INTERNATIONAL, 2009, 19 (12) : 1799 - 1804
  • [10] Time-stepping for multibody dynamics with friction-affected bilateral constraints
    Li Fu~(a
    Progress in Natural Science:Materials International, 2009, 19 (12) : 1799 - 1804
12345