On Lagrange multipliers in flexible multibody dynamics

被引：58

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

页码：6993 / 7005

页数：13

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