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约束多体系统动力学正则方程的约束变尺度方法
Constrained variable metric method for the canonical equations in constrained multibody systems dynamics
【摘要】 对约束多体系统动力学的正则方程建立了最优化问题模型,采用辛差分格式,提出相应的最优化问题的约束变尺度法。该方法有效地提高了计算稳定性,算例说明了方法的有效性。
【Abstract】 A constrained variable metric method for solving canonical equations in constrained multibody systems dynamics is presented. The framwork of which is based on rewriting the equations as the optimization problem and using symplectic integral. The algorithm keep calculation stable for time simulation. Numerical examples show that algorithm is numerically efficient.
【关键词】 多体系统;
正则方程;
微分;
代数方程组;
约束最优化;
【Key words】 multibody systems; canonical equations; differential; algebraic equations; constrained optimization;
【Key words】 multibody systems; canonical equations; differential; algebraic equations; constrained optimization;
【基金】 国家自然科学基金
- 【文献出处】 计算力学学报 ,CHINESE JOURNAL OF COMPUTATIONAL MECHANICS , 编辑部邮箱 ,1999年03期
- 【分类号】O313.3
- 【被引频次】10
- 【下载频次】100