| 基于祖冲之类方法的多体动力学方程保能量保约束积分 |
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| 引用本文： | 吴锋,高强,钟万勰.基于祖冲之类方法的多体动力学方程保能量保约束积分[J].计算机辅助工程,2014,23(1):64-68. |
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| 作者姓名： | 吴锋 高强 钟万勰 |
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| 作者单位： | 大连理工大学 a. 工程力学系; b. 工业装备结构分析国家重点实验室,大连理工大学 a. 工程力学系; b. 工业装备结构分析国家重点实验室,大连理工大学 a. 工程力学系; b. 工业装备结构分析国家重点实验室 |
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| 基金项目： | 国家重点基础研究发展计划（“九七三”计划）（2009CB918501） |
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| 摘 要： | 针对一类多体动力学问题导出的微分 代数方程，提出一种保能量、保约束的算法.该算法基于祖冲之类方法和欧拉中点保辛差分，利用祖冲之类方法保证在时间格点上精确满足约束方程，避免约束违约问题；并进一步证明该算法在时间格点上可以精确保能量.数值算例进一步验证该算法的可靠性.
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| 关 键 词： | 多体动力学方程 微分 代数方程 保辛 祖冲之 |
| 收稿时间： | 2013/12/28 0:00:00 |
| 修稿时间： | 1/3/2014 12:00:00 AM |
Energy and constraint preservation integration for multibody equations based on Zu Chongzhi method |
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| WU Feng,GAO Qiang and ZHONG Wanxie.Energy and constraint preservation integration for multibody equations based on Zu Chongzhi method[J].Computer Aided Engineering,2014,23(1):64-68. |
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| Authors: | WU Feng GAO Qiang and ZHONG Wanxie |
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| Affiliation: | a. Department of Engineering Mechanics; b. State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,a. Department of Engineering Mechanics; b. State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology and a. Department of Engineering Mechanics; b. State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology |
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| Abstract: | As to the differential algebraic equation derived from a class of multibody dynamics issues, an energy and constraint preservation algorithm is proposed. The algorithm is based on the Zu Chongzhi method and Euler midpoint symplectic preservation difference method. It is proved that the constraint equations can be accurately satisfied at each time node using the Zu Chongzhi method and the violation of constraints can be avoided; the energy preservation at each time node is further verified. The numerical examples further prove the reliability of the algorithm. |
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| Keywords: | multibody dynamics equation differential algebraic equation symplectic preservation Zu Chongzhi |
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