耦合多体系统动力响应计算

DYNAMIC RESPONSE OF THE COUPLED MULTIBODY SYSTEM

由于弹性体与刚体之间的动力耦合，使得耦合多体系统的特征值问题非自共轭，难以用经典的模态分析方法解决含有刚、弹耦合多体系统的动力响应问题。本文以某多体系统为例，建立了耦合多体系统的特征值和边值问题的增广公式，进而求得了用正交的增广特征矢量级数表示的系统对任意激励的响应。

The eigenvalue problem of coupled multibody system is not self adjiont and the study of dynamic response of the system by classical modal analysis method is difficult because of the dynamic coupled action between tlastic bodies and rigid bodies In this paper,we take a multibody system as example,the augmented formulas of eigenvalue and boundary value problem of the multibody system are developed The general response of the system to arbitrary excitations is accurately represented by the orthogonal augmented eigenfunction series