| 多体系统动力学方程的无违约数值计算方法 |
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| 引用本文： | 刘颖,马建敏,苏芳,张文. 多体系统动力学方程的无违约数值计算方法[J]. 计算力学学报, 2010, 27(5): 942-947 |
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| 作者姓名： | 刘颖 马建敏 苏芳 张文 |
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| 作者单位： | 复旦大学,力学与工程科学系,上海,200433 |
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| 摘 要： | ![]()
多体系统动力学方程为3阶微分代数方程,已有的约束违约稳定法存在位移违约问题,数值仿真准确性和稳定性不足。本文将求解高阶微分代数方程的降阶理论、ε嵌入处理方式与隐式龙格库塔法相结合,提出了直接满足位移约束条件的多体系统动力学方程的无违约算法,避免了约束违约问题。该方法先将多体动力学方程转化为2阶微分代数方程,并与位移约束方程联立;再应用ε嵌入隐式龙格库塔法进行数值求解。应用两种方法分别对单摆机构进行数值仿真,结果表明本文的方法不仅能适应较大步长,且准确性和稳定性均优于约束违约稳定法。
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| 关 键 词： | 多体系统 动力学分析 微分代数方程 约束违约 隐式龙格库塔法 |
| 收稿时间： | 2008-12-01 |
Precise numerical solution for multi-body system's equations of motion based on algorithm without constraint violation |
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| LIU Ying,MA Jian-min,SU Fang and ZHANG Wen. Precise numerical solution for multi-body system's equations of motion based on algorithm without constraint violation[J]. Chinese Journal of Computational Mechanics, 2010, 27(5): 942-947 |
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| Authors: | LIU Ying MA Jian-min SU Fang ZHANG Wen |
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| Affiliation: | Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China;Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China;Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China;Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China |
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| Abstract: | ![]()
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| Keywords: | multi-body system dynamics analysis differential algebraic equation constraint violation implicit Runge-Kutta method |
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