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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

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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
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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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    • 参考文献(61)
  • 1 维滕伯格, 著. 多刚体系统动力学. 谢传锋译. 北京航空航天 大学出版社, 1986
    2 袁世杰. 多刚体系统动力学. 北京: 北京理工大学出版社,1988
    3 Kane T R, Likins P W, Levionson D A, 著. 航天飞行器动 力学. 黄克累, 张安厚译. 北京: 科学出版社, 1988
    4 洪嘉振. 计算多体系统动力学. 北京: 高等教育出版社, 2001
    5 Shabana A A. Dynamics of Multibody Systems. London: Cambridge University Press, 2005
    6 潘振宽, 赵维加, 洪嘉振, 等. 多体系统动力学微分/ 代数方 程组数值方法. 力学进展, 1996, 26(1): 28-40
    7 王琪, 陆启韶. 多体系统Lagrange 方程数值算法的研究进 展. 力学进展, 2001, 31(1): 9-17
    8 Yang H, Hong J Z. Dynamics modeling of a flexible hubbeam system with a tip mass. Journal of Sound and Vibration, 2003, 266: 759-774  
    9 Ascher U M, Petzold L R. Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations. 北京: 科学出版社, 2009
    10 洪嘉振, 刘锦阳. 机械系统计算动力学与建模. 北京: 高等 教育出版社, 2011
    11 刘丽兰, 刘宏昭, 吴子英, 等. 机械系统中摩擦模型的研究进 展. 力学进展, 2008, 38(2): 200-213
    12 Kunze M. Non-Smooth Dynamical Systems. New York: Springer, 2000
    13 Flores P, Leine R, Glocker C. Modeling and analysis of planar rigid multibody systems with translational clearance joints based on the non-smooth dynamics approach. Multibody System Dynamics, 2010, 23: 165-190  
    14 Flores P, Ambr ó sio J, Pimenta Claro J C, et al. Kinematics and Dynamics of Multibody Systems with Imperfect Joints. New York: Springer, 2008
    15 Jonker J B, Waiboer R R, Aarts R G K M. Modelling of Joint Friction in Robotic Manipulators with Gear Transmissions, Multibody Dynamics. Computational Methods and Applications, Netherlands: Springer, 2007. 221-243
    16 Tomlinson S E, Lewis R, Carr é M J. The effect of normal force and roughness on friction in human finger contact. Wear, 2009, 267: 1311-1318  
    17 彭慧莲, 郭易圆, 王琪. 用第一类Lagrange 方程求解平面多 体系统约束力的方法. 工程力学, 2008, 25(12): 65-71
    18 Blajer W. On the determination of joint reactions in multibody mechanisns. Journal of Mechanical Design, 2004,126: 341-350  
    19 齐朝晖. 多体系统动力学. 北京: 科学出版社, 2008
    20 Pfeiffer F, Glocker C. Multibody Dynamics with Unilateral Contacts. New Jersey: John Wiley & Sons. Inc.,1996
    21 Flores P, Ambr ó sio J, Pimenta Claro J C, et al. Translational joints with clearance in rigid multibody systems. Journal of Computational and Nonlinear Dynamics, 2008, (3): 011007(1-10)  
    22 Kosenko I, Aleksandrov E. Volumetric modification of the Hertz contact problem and its application to the multibody dynamics simulation. Journal of Mechanical Science and Technology, 2009, 23: 931-937  
    23 Bai Z F, Zhao Y. Dynamic behavior analysis of planar mechanical systems with clearance in revolute joints using a new hybrid contact force model. International Journal of Mechanical Sciences, 2012, (54): 190-205  
    24 Machado M, Flores P. Pimenta Claro J C, et al. Development of a planar multibody model of the human knee joint. Nonlinear Dyn., 2010, 60: 459-478
    25 Flores P, Pereira R, Machado M, et al. Investigation on the Baumgarte stabilization method for dynamic analysis of constrained multibody systems. Proceedings of EUCOMES, 2008. 305-312
    26 陈萌, 张新访, 张云清, 等. 对接机构隔框锁的接触碰撞动力 学研究及仿真. 宇航学报, 2002, 3(6): 43-49
    27 Ambr ó sio J , Verissimo P. Improved bushing models for general multibody systems and vehicle dynamics. Multibody Systems Dynamics, 2009, 22: 341-365  
    28 Flores P. Modeling and simulation of wear in revolute clearance joints in multibody systems. Mechanism and Machine Theory, 2009, 44: 1211-1222  
    29 Tian Q, Zhang Y Q, Chen L P, et al. Simulation of planar flexible multibody systems with clearance and lubricated revolute joints. Nonlinear Dyn, 2010, 60: 489-511  
    30 Leine R I, VanCampen D H, Glocker C. Nonlinear dynamics and modeling of various wooden toys with impact and friction. Journal of Vibration and Control, 2003, 9: 25-78
    31 Piedboeuf J, Carufel J, Hurteau R. Friction and stick-slip in robots: Simulation and Experimentation. Multibody System Dynamics, 2000, 4: 341-354  
    32 Nozaki K , Terumichi Y, Nishimura K, et al. Study of rocking motion of rigid body with slide contact. Journal of Mechanical Science and Technology, 2009, 23: 1001-1007  
    33 彭慧莲, 王士敏, 王琪, 等. 具有固定双边约束多点摩擦的 多体系统的动力学建模和数值算法. 力学学报, 2009, 41(1):105-111
    34 彭慧莲, 王琪, 庄方方. 含摩擦滑移铰平面多刚体动力学 的HLCP方法. 力学学报, 2010, 42(5): 943-950
    35 韩继业, 修乃华, 戚厚铎. 非线性互补理论与算法. 上海: 上 海科学出版社, 2006
    36 张培爱, 何素艳, 张兴新. 互补问题的一种光滑迭代算法, 大 连理工大学学报, 2003, 43(1): 16-19
    37 Pfeiffer F, Foerg M, Ulbrich H. Numerical aspects of nonsmooth multibody dynamics. Computer Methods in Applied Mechanics and Engineering, 2006, 195: 6891-6908  
    38 Wang Q, Peng H L, Zhuang F F. A constraint-stabilized method for multibody dynamics with friction-affected translational joints based on HLCP. Discrete and Continuous Dynamical Systems Series B, 2011, 16(2): 589-605  
    39 Moreau J J. Numerical aspects of the sweeping process. Computer Methods in Applied Mechanics and Engineering, 1999, 177: 329-349  
    40 Brogliato B, Dam A A, Paoli L, et al. Numerical simulation of finite dimensional multibody non-smooth mechanical systems. Applied Mechanics Reviews, 2002, 55(2):107-150  
    41 Anitescu M, Hart G D. A constraint-stabilized timestepping approach for rigid multibody dynamics with joints, contact and friction. International Journal for Numerical Methods in Engineering, 2004, 60: 2335-2371  
    42 段文杰, 王琪、王天舒. 圆弧足被动行走器非光滑动力学仿 真研究. 力学学报, 2011, 43(4): 765-774
    43 Collins S, Ruina A, Tedrake R, et al. Efficient bipedal robots based on passive-dynamic walkers. Science Magazine, 2005, 307(5712): 1082-1085
    44 Liu N, Li J F, Wang T S. The effects of parameter variation on the gaits of passive walking models: simulations and experiments. Robotica, 2009, 27(4): 511-528  
    45 高海平. 受约束多体系统线性互补建模及相关问题研究. [博 士论文]. 北京: 北京航空航天大学, 2010
    46 Zhang H W, Li J Y, Pan S H. New second-order cone linear complementarity formulation and semi-smooth Newton algorithm for finite element analysis of 3D frictional contact problem. Comput. Methods Appl. Mech. Engrg,2011, 200: 77-88  
    47 Theodosiou C, Natsiavas S. Dynamics of finite element structural models with multiple unilateral constraints. International Journal of Non-Linear Mechanics, 2009, 44:371-382  
    48 Acary V, Brogliato B. Numerical Methods for Non-smooth Dynamical Systems-Applications in Mechanics and Electronics. Berlin: Springer, 2008
    49 董富祥, 洪嘉振. 平面柔性多体系统正碰撞动力学建模理论 研究. 计算力学学报, 2010, 27(6): 1042-1048
    50 韩石磊, 洪嘉振. 柔性多体碰撞问题的多变量方法. 力学学 报, 2011, 43(5): 886-893
    51 Arczewski K, Fraczek J. Friction models and stress recovery methods in vehicle dynamics modelling. Multibody System Dynamics, 2005, 14: 205-224  
    52 赵振, 刘才山, 陈滨. 三维含摩擦多刚体碰撞问题的数值计算 方法. 中国科学G辑, 2006, 36(1): 72-88
    53 Leonesio M, Bianchi G. Self-locking analysis in closed kinematic chains. Mechanism and Machine Theory, 2009,44: 2038-2052  
    54 Fraczek J, Wojtyra M. On the unique solvability of a direct dynamics problem for mechanisms with redundant constraints and Coulomb friction in joints. Mechanism and Machine Theory, 2011, 46: 312-334  
    55 Pfeiffer F. On impacts with friction. Applied Mathematics and Computation, 2010, 217: 1184-1192  
    56 刘才山, 陈滨. 多柔体系统碰撞动力学研究综述. 力学进展,2000, 30(1): 7-14
    57 董富祥, 洪嘉振. 多体系统动力学碰撞问题研究综述. 力学 进展, 2009, 39(3): 352-359
    58 胡海岩. 分段非光滑机械系统动力学的进展. 振动工程学报,1995, 8(4): 331-341
    59 金栋平, 胡海岩. 碰撞振动及其典型现象. 力学进展, 1999,29(2): 155-164
    60 韩石磊, 洪嘉振. 柔性多体系统接触/碰撞动力学的若干关 键问题. 力学与实践, 2011, 33(2): 1-7
    61 丁旺才, 谢建华. 碰撞振动系统分岔与混沌的研究进展. 力 学进展, 2005, 35(4): 513-524
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出版历程
  • 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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