张学胜,陈万吉.约束多体系统动力学正则方程的约束变尺度方法[J].计算力学学报,1999,16(3):314~319 |
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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 variablemetric method for the canonical equations in constrained multibody systems dynamics |
修订日期:1998-03-10 |
DOI:10.7511/jslx19993052 |
中文关键词: 多体系统 正则方程 微分 代数方程 约束最优化 |
英文关键词:multibody systems,canonical
equations,differential,algebraic equations,constrained optimization, |
基金项目:国家自然科学基金 |
张学胜 陈万吉 |
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中文摘要: |
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。 |
英文摘要: |
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. |
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