| 奇异值分解对非定常约束多体系统的动力学分析 |
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| 引用本文： | 水小平.奇异值分解对非定常约束多体系统的动力学分析[J].兵工学报,1994(2). |
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| 作者姓名： | 水小平 |
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| 作者单位： | 北京理工大学 |
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| 摘 要： | 通过对约束方程的雅可比矩阵进行奇异值分解，定义组合坐标，从拉格朗日第一类方程出发，建立了非定常约束多体系统的纯微分方程，给出了动力学数值分析的过程，最后举了一个算例。
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| 关 键 词： | 动力学分析 奇异值分解 非定常约束 多体系统 雅可比矩阵 |
SINGULAR VALUE DECOMPOSITION FOR THE DYNAMIC ANALYSIS OF MULTIBODY SYSTEMS WITH RHEONOMIC CONSTRAINTS |
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| Shui Xiaoping.SINGULAR VALUE DECOMPOSITION FOR THE DYNAMIC ANALYSIS OF MULTIBODY SYSTEMS WITH RHEONOMIC CONSTRAINTS[J].Acta Armamentarii,1994(2). |
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| Authors: | Shui Xiaoping |
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| Affiliation: | Beijing institute of Technology |
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| Abstract: | In this paper,the composite coordinates are defined using singular value decomposition of the constraint Jacobian matrix.Starting with Lagrange equations of the first kind, pure differential equations of multibody systems with rheonomic constraints are established.The process of the numerical dynamic analysis is also given.One example is finally presented. |
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| Keywords: | dynamic analysis singular value edcomposition rheonomic constraint multibody system Jacobian matrix |
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