A DAE Approach to Flexible Multibody Dynamics

被引:36
作者
P. Betsch
P. Steinmann
机构
[1] University of Kaiserslautern,Department of Mechanical Engineering
关键词
constrained mechanical systems; differential algebraic equations; energy-momentum methods; finite rotations; multibody systems; structural dynamics;
D O I
10.1023/A:1020934000786
中图分类号
学科分类号
摘要
The present work deals with the dynamics of multibody systems consisting ofrigid bodies and beams. Nonlinear finite element methods are used to devise a frame-indifferent spacediscretization of the underlying geometrically exact beam theory. Both rigid bodies and semi-discrete beams are viewed as finite-dimensional dynamical systems with holonomic constraints. The equations of motion pertaining to the constrained mechanical systems under considerationtake the form of Differential Algebraic Equations (DAEs).The DAEs are discretized directly by applying a Galerkin-based method.It is shown that the proposed DAE approach provides a unified framework for the integration of flexible multibody dynamics.
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页码:365 / 389
页数:24
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