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非光滑多体系统动力学数值算法的研究进展

王琪,  庄方方,  郭易圆,  章杰,  房杰

文章导航 > 力学进展  > 2013 >  43(1): 101-111
王琪, 庄方方, 郭易圆, 章杰, 房杰. 非光滑多体系统动力学数值算法的研究进展[J]. 力学进展, 2013, 43(1): 101-111. doi: 10.6052/1000-0992-12-024
引用本文: 王琪, 庄方方, 郭易圆, 章杰, 房杰. 非光滑多体系统动力学数值算法的研究进展[J]. 力学进展, 2013, 43(1): 101-111. doi: 10.6052/1000-0992-12-024
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WANG Qi, ZHUANG Fangfang, GUO Yiyuan, ZHANG Jie, FANG Jie. ADVANCES IN THE RESEARCH ON NUMERICAL METHODS FOR NON-SMOOTH DYNAMICS OF MULTIBODY SYSTEMS[J]. Advances in Mechanics, 2013, 43(1): 101-111. doi: 10.6052/1000-0992-12-024
Citation: WANG Qi, ZHUANG Fangfang, GUO Yiyuan, ZHANG Jie, FANG Jie. ADVANCES IN THE RESEARCH ON NUMERICAL METHODS FOR NON-SMOOTH DYNAMICS OF MULTIBODY SYSTEMS[J]. Advances in Mechanics, 2013, 43(1): 101-111. doi: 10.6052/1000-0992-12-024
shu

非光滑多体系统动力学数值算法的研究进展

doi: 10.6052/1000-0992-12-024

  • 北京航空航天大学航空科学与工程学院, 北京100191

基金项目: 国家自然科学基金项目(11072014,10832004)资助
详细信息
    作者简介:

    王琪, 1959 年生, 教授, 博士生导师, 主要从事多体系统动力学数值算法研究. 兼任中国力学学会理事, 中国力学学会动力学与控制专业委员会委员和教育工作委员会委员, 多体系统动力学专业组组长,《动力学与控制学报》编委.

    通讯作者:

    王琪

  • 中图分类号: O313.7

ADVANCES IN THE RESEARCH ON NUMERICAL METHODS FOR NON-SMOOTH DYNAMICS OF MULTIBODY SYSTEMS

  • School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China

Funds: The project was supported by the National Natural Science Foundation of China (11072014, 10832004).
More Information
    Corresponding author: WANG Qi

    摘要
  • 摘要: 非光滑多体系统动力学数值计算方法是多体系统动力学研究的重要内容之一. 本文介绍了近年来含摩擦与碰撞的非光滑多体系统动力学数值算法方面的研究进展. 首先, 讨论了库仑摩擦模型和修正的库仑摩擦模型, 以及具有单边和双边约束的多体系统中法向约束力的特点. 其次, 回顾了基于连续模型和非连续模型的多体系统动力学方程的数值计算方法, 详细介绍了基于互补概念的非光滑多体系统动力学的事件驱动法和时间步进法, 分析比较了相关的数值算法. 最后, 指出了一些需要进一步研究的问题.

     

    Abstract: The numerical method for the non-smooth dynamics of multibody systems is one of the hot topics of researches on the dynamics of multibody systems. In this paper, recent advances in the research on numerical methods are presented for the non-smooth dynamics of multibody systems with impact and friction. First, the Coulomb friction model, modified Coulomb friction model and the characteristics of the normal forces of multibody systems with unilateral and bilateral constraints are discussed. Second, recently developed numerical methods for the non-smooth dynamics of multibody systems based on continuous and discontinuous models are reviewed. The Event-driven scheme and time-stepping method for the non-smooth dynamics of multibody systems are described in detail based on the complementarity concept. These numerical methods are then analysed and compared. Finally, the problems in need of further studies are pointed out.

     

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  • 收稿日期:  2012-02-29
  • 修回日期:  2012-05-03
  • 刊出日期:  2013-01-24

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