| 约束机械系统动力学的一类完全解耦方法 |
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| 引用本文： | 周凡利,陈立平,彭小波.约束机械系统动力学的一类完全解耦方法[J].华中科技大学学报(自然科学版),2001,29(6):74-76. |
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| 作者姓名： | 周凡利 陈立平 彭小波 |
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| 作者单位： | 华中科技大学机械科学与工程学院 |
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| 基金项目： | 国家高技术研究发展计划资助项目 (9842 0 0 3),国家自然科学基金资助项目 (5 9990 470 ) |
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| 摘 要： | 针对约束机械系统动力学分析所要处理的微分－代数方程组,先将其转化为基于隐式线性多步法的超定微分－代数方程组形式,然后采用一种微分流形的“投影”技术消除超定性,再对变化后的微分－代数方程组按照位置,速度,加速度的顺序进行解耦,化为线性方且的求解序列,从而得到一类完全解耦算法,算法可用于处理刚性问题,无需预估式,具有较高的效率,算例证明了该算法的有效性。
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| 关 键 词： | 约束机械系统 动力学 微分－代数方程组 完全解耦算法 隐式线性多步法 |
| 文章编号： | 1000-8616(2001)06-0074-03 |
| 修稿时间： | 2000年12月7日 |
A Complete Decoupling Method for Dynamics of Constrained Mechanical Systems |
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| Zhou Fanli Chen Liping Peng Xiaobo Postgraduate, College of Mech. Sci. & Eng.,HUST,Wuhan ,China..A Complete Decoupling Method for Dynamics of Constrained Mechanical Systems[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2001,29(6):74-76. |
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| Authors: | Zhou Fanli Chen Liping Peng Xiaobo Postgraduate College of Mech Sci & Eng HUST Wuhan China |
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| Institution: | Zhou Fanli Chen Liping Peng Xiaobo Postgraduate, College of Mech. Sci. & Eng.,HUST,Wuhan 430074,China. |
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| Abstract: | Aiming at the differential algebraic equations(DAEs) in dynamics of constrained mechanical system, this paper presents an algorithm which first converts the DAEs into overdetermined differential algebraic equations based on the implicit linear multistep method, then eliminates its overdetermination with certain "projection" technology of differential manifold, finally decouples the equations and transforms them into linear equations sequences to solve the position, velocity and acceleration. The complete decoupling algorithm that can be used to solve the stiff problem without prediction is obtained. The validity of algorithm has been proved in the numerical experiment. |
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| Keywords: | constrained mechanical system dynamics differential algebraic equation decoupling |
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