| 阚子云,彭海军,陈飙松,钟万勰.开放式多体系统动力学仿真算法软件研发(II)DAEs求解算法对比[J].计算力学学报,2015,32(6):707~715,721 |
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| 开放式多体系统动力学仿真算法软件研发(II)DAEs求解算法对比 |
| Study of open simulation algorithm software for multibody system dynamics (II) comparison of algorithms for solving DAEs |
| 投稿时间：2014-07-09 修订日期：2014-09-01 |
| DOI：10.7511/jslx201506001 |
| 中文关键词: 多体动力学 微分-代数方程组(DAEs) 数值积分算法 算法比较 |
| 英文关键词:dynamics of multibody systems DAEs numerical integration algorithm algorithm comparisons |
| 基金项目:国家自然科学基金(11102031,11472069,11372064,11432010)资助项目. |
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| 摘要点击次数: 2040 |
| 全文下载次数: 1835 |
| 中文摘要: |
| 研究求解微分-代数方程组(DAEs)的高效率、高精度和高稳定性数值积分方法一直是多体系统动力学领域的热点问题之一。本文将求解结构动力学方程的Bathe数值积分策略应用于DAEs的求解,并基于SiPESC平台开发了开放式多体系统动力学仿真算法软件,综合比较研究了Newmark法、HHT-I3法、Generalized α方法、Bathe方法和祖冲之类Symplectic方法。通过复摆、刚-柔耦合双摆和对称陀螺三个数值算例研究了算法参数与数值阻尼的关系。数值实验表明,Newmark方法在特定参数下引入的数值阻尼通常不可控,HHT-I3方法、Generalized α 方法和Bathe方法通过选择特定步长和参数可引入可控的数值阻尼,祖冲之类Symplectic方法无数值阻尼。在求解真实高频和低频耦合问题以及高速旋转的陀螺问题时,采用祖冲之类Symplectic方法或者无耗散的Newmar方法能够对系统的高频成分进行准确模拟。 |
| 英文摘要: |
| The high efficiency,high accuracy and high performance numerical integration algorithms are hot tops in the field of multibody system dynamics.Direct numerical integration methods which solve the structural dynamics equation are applied to solve the DAEs in this paper.Based on the SiPESC platform and the open simulation algorithm software for multibody system dynamics,comparison study of Newmark method,HHT-I3 method, Generalized α method,Bathe method and Zu Chongzi Symplectic method is made.By using the compound pendulum and the rigid-flexible double pendulum examples,this paper studied the relationship between parameters and numerical dissipative of different algorithms.For solving the high-low frequency coupled and high-speed rotation of the gyro problems,the system can be accurately simulated by the non-dissipative Newmark method and Zu Chongzi Symplectic method. |
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