On Lagrange multipliers in flexible multibody dynamics

被引：67
作者：
Simeon, Bernd [1 ]
机构：
[1] Tech Univ Munich, Zentrum Math, D-85748 Garching, Germany
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2006年 / 195卷 / 50-51期
关键词：
Lagrange multipliers; flexible multibody systems; constraints; differential-algebraic equations (DAEs); saddle point problems; numerical simulation;
D O I：
10.1016/j.cma.2005.04.015
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The Lagrange multiplier technique plays a key role for the treatment of constraints in multibody systems. In contrast to the well-understood rigid body case, the formulation of constraints for elastic bodies requires special care. This paper provides an introduction to the underlying mathematical theory and shows which models are well-defined and which are questionable. Additionally, estimates on the influence of perturbations are given. A simulation example illustrates the results. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：6993 / 7005
页数：13
相关论文
共 26 条
[1]  
[Anonymous], 1983, MATH FDN ELASTICITY
[2]  
[Anonymous], 1997, THEORY FAST SOLVERS
[3]   A PERTURBATION ANALYSIS FOR THE DYNAMICAL SIMULATION OF MECHANICAL MULTIBODY SYSTEMS [J].
ARNOLD, M .
APPLIED NUMERICAL MATHEMATICS, 1995, 18 (1-3) :37-56
[4]   Robust integration schemes for flexible multibody systems [J].
Bauchau, OA ;
Bottasso, CL ;
Trainelli, L .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (3-4) :395-420
[5]  
Brenan K.E., 1995, Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations
[6]  
DAVAUT B, 1976, INEQUALITIES MECH PH
[7]  
Eberhard P., 2000, KONTAKTUNTERSUCHUNGE
[8]  
Eich-Soellner E., 1998, NUMERICAL METHODS MU, V45
[9]   A METHOD OF FINITE-ELEMENT TEARING AND INTERCONNECTING AND ITS PARALLEL SOLUTION ALGORITHM [J].
FARHAT, C ;
ROUX, FX .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1991, 32 (06) :1205-1227
[10]  
Geradin M., 1993, Advanced multibody system dynamics: simulation and software tools, P337
123