柔性多体动力学计算方法研究进展

Progress in Computational Algorithms for Flexible Multi-body Systems

柔性多体系统动力学(FMD)方程是强耦合的非线性微分—代数混合方程组(DAEs),迄今为止尚无法完全通过解析方法求解。多年来,人们对该类方程的数值解法进行了大量的研究。简略回顾了传统数值积分方法在FMD方程求解中的应用概况,分类介绍了多种高效计算技术的研究进展情况,分析了结构动力学子循环算法(又称多时间步算法)的基本原理和研究现状,并对实现FMD方程子循环算法的可能性和意义进行了剖析和展望。

The dynamic equation of a flexible multi-body system(FMD)is a strong-coupled norilinear differential-algebraic formula group,which can't be completely solved by any analytical method so far.Great efforts have been made on investigating various computational strategies for the FMD in the past 20 years.This paper shortly reviews the general applied situation of conventional numerical integral methods for the FMD and presents several high-efficient computational techniques.Furthermore,it also describes the fundaments and studying status of the sub-cycling integral techniques,which have been successfully applied to structural transient analysis in finite element method,and makes some anatomy and expectation of the feasibility and significance on applying the sub-cycling(multi-time-step)procedure to the FMD.