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机械回路系统动力学分析的奇异值分解(SVD)缩聚法
引用本文:朱明,陈鹿民. 机械回路系统动力学分析的奇异值分解(SVD)缩聚法[J]. 南京航空航天大学学报, 1989, 0(2)
作者姓名:朱明  陈鹿民
作者单位:南京航空学院数理力学系(朱明),郑州航空工业管理学院(陈鹿民)
摘    要:本文在约束动力学系统的动力学分析中提出了奇异值分解(SVD)缩聚法,求解相应的微分代数方程组,推出了三套缩聚公式及相应的算法。SVD缩聚法计算简单,便于计算机执行,并克服了由于约束不连续而导致的数值积分的困难。

关 键 词:机构动力分析  回路  奇异性  机械回路系统  奇异值分解(SVD)

A Reductive Method of Singular Value Decomposition(SVD) for Dynamic Analysis of Machanically Closed Loop Systems
Zhu Ming. A Reductive Method of Singular Value Decomposition(SVD) for Dynamic Analysis of Machanically Closed Loop Systems[J]. Journal of Nanjing University of Aeronautics & Astronautics, 1989, 0(2)
Authors:Zhu Ming
Abstract:A reductive method of singular value decomposition is presented in this paper to solve corresponding differential-algebraic equations of motion for constrained dynamic systems. Three sets of reduced equations are developed together with three corresponding methods. It is shown that the SVD reductive method is simple in application and easy to operate by computer, and that the difficulties of numerical integration- resulted from discontinuity of constraints can be overcome.
Keywords:dynamic analysis of mechanism   return circuit   singularity   machanically closed loop systems   singular value decomposition(SVD)
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