多体系统动力学中关节效应模型的研究进展

王庚祥; 刘宏昭

doi:10.6052/0459-1879-14-091

多体系统动力学中关节效应模型的研究进展

doi: 10.6052/0459-1879-14-091

西安理工大学, 机械与精密仪器工程学院, 西安 710048

基金项目: 国家自然科学基金(51275404)和西安理工大学优秀博士学位论文研究基金(102-211209)资助项目.

详细信息

作者简介:
王庚祥,博士研究生,主要研究方向:机械动力学.E-mail: wanggengxiang27@163.com

中图分类号: TH113.1
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出版历程
- 收稿日期: 2014-04-01
- 修回日期: 2014-06-17
- 刊出日期: 2015-01-18

RESEARCH PROGRESS OF JOINT EFFECTS MODEL IN MULTIBODY SYSTEM DYNAMICS

School of mechanical and Precision Instrument Engineering Xi'an University of Technology, Xi'an 710048, China

Funds: The project was supported by the National Natural Science Foundation of China (51275404) and Research Foundation of Excellent Doctoral Disser- tation of Xi'an University of Technology (102-211209).

摘要

摘要: 在一般的多体系统动力学研究中认为运动关节是理想运动副. 然而,实际中的运动关节不仅含有间隙与摩擦,还有间隙引起的关节元素之间的接触碰撞、局部变形和磨损. 多体系统动力学中的关节效应不仅引起了系统的振动和噪声,减小了系统的可靠性和寿命,而且损失了系统的精度和稳定性. 为此,对近十几年多体系统动力学中关节效应的研究进行了详细分析,总结了关节效应中间隙运动学模型、接触力模型与磨损模型在多体系统动力学中的建模过程. 其中,着重分析了多体系统动力学中关节磨损效应的研究进展,并对常用的Reye'shypothesis 和Archard 磨损模型进行了比较,详细地分析了Archard 磨损模型的演变形式以及主要磨损参数(接触应力,接触面积和滑移距离),特别分析了关键磨损参数接触应力的建模方法,解释了基于Winkler 弹性基础理论在求解接触应力时遇到的困难. 另外,介绍了4 种间隙运动副(转动副、移动副、圆柱副和球面副) 的运动学模型. 分析了考虑关节磨损多体系统动力学模型的一般建模方法,并以平面五杆机构为例说明了其建模过程.最后,简要地展望了多体系统动力学中关节效应模型的发展趋势以及应用前景.
- 关节效应 /
- 多体系统动力学 /
- 间隙 /
- 接触应力 /
- Archard 磨损模型
Abstract: It is assumed that the kinematic joints are ideal or perfect in the dynamics research of general multi-body system. However, the realistic joints include not only the clearance and friction but also contact-impact, local deformation and wear between the joint element arising from the clearance. On the one hand, the presence of clearance effect in joints causes the impact dynamic load, noise and high frequency vibration. On the other hand, the system accuracy, reliability and the service life of mechanism system will be affected due to the joint clearance. The research background of joint effects in multi-body system dynamics over the past several decades is carried on the detailed analysis. The modeling processes of joint effects that contain the kinematics model of clearance, contact force model and wear model are summarized. The advanced in joint wear effect of multi-body system dynamics is focused on specially, and the comparative analysis of two common wear model of Reye's hypothesis and Archard's wear model are carried out to illustrate their differences. The evolution form and main wear parameters consisted in the contact pressure, sliding distance and contact area of the Archard's wear model are specific developed. The modeling method of key parameter for contact pressure is analyzed specially, and it is explained that the difficulty of contact pressure is formulated by Winkler elastic foundation theory. Moreover, the kinematic models of four different style joints with clearance are briefly introduced respectively. The general modeling method of multi-body system dynamics considering joint irregular wear clearance is discussed in a flow chart way, and the planar five-bar mechanisms is taken as an example to account for modeling process of multi-body system with irregular wear clearance. Lastly, the future development trend and application prospect of joint effect model in the multi-body system dynamics are discussed respectively.
- joint effect /
- multi-body system dynamics /
- clearance /
- contact pressure /
- Archard's wear model

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参考文献(77)

Onesmus M, John K, Bernard I. Numerical study of parametric effects on the dynamic response of planar multi-body systems with differently located frictionless revolute clearance joints. Mechanism and Machine Theory, 2012, 53: 30-49

Xu LX, Yang YH, Li YG, et al. Modeling and analysis of planar multibody systems containing deep groove ball bearing with clearance. Mechanism and Machine Theory, 2012, 56: 69-88

de Jálon JG, Bayo E. Kinematic and Dynamic Simulations of Multibody Systems. New York: Springer-Verlag, 1994

Erkaya S, Uzmay ī. Effects of balancing and link flexibility on dynamics of a planar mechanism having joint clearance. Scientia Iranica B, 2012, 19(3): 483-490

Shabana AA. Dynamics of Multibody Systems. Cambridge University Press, England: Cambridge, 2005

Erkaya S, Uzmay I. Determining link parameters using genetic algorithm in mechanisms with joint clearance. Mechanisms and Machine Theory, 2009, 44: 222-234

Yoo WS, Kim KN, Kim HW, et al. Developments of multibody system dynamics: Computer simulations and experiments. Multibody System Dynamics, 2007, 18(1): 35-58

Wang JG, Zhang JF, Du XP. Hybrid dimension reduction for mechanism reliability analysis with random joint clearances. Mechanism and Machine Theory, 2011, 46: 1396-1410

Huang XZ, Zhang YM. Robust tolerance design for function generation mechanisms with joint clearances. Mechanism and Machine Theory, 2010, 45: 1286-1297

Dubowsky S, Deck JF, Costello H. The dynamic modeling of flexible spatial machine system with clearance connections. Transactions of the ASME, 1987, 109: 87-94

Erkaya S, Uzmay I. Optimization of transmission angle for slider-crank mechanism with joint clearances. Structural Multidiscipine Optimization, 2009, 37: 493-508

Popov VL. Contact Mechanics and Friction: Physical Principles and Applications. New York: Springer, 2010

Tsai MJ, Lai TH. Accuracy analysis of a multi-loop linkage with joint clearances. Mechanism and Machine Theory, 2008, 43: 1141-1157

Flores P, Machado M, Silva MT, et al. On the continuous contact force models for soft materials in multibody dynamics. Multibody System Dynamics, 2011, 25: 357-375

Flores P, Ambrosio J. Revolute joints with clearance in multibody systems. Computers and Structures, 2004, 82: 1359-1369

Erkaya S, Uzmay I. Experimental investigation of joint clearance effects on the dynamics of a slider-crank mechanism. Multibody System Dynamics, 2010, 24: 81-102

Pham HT, Wang DA. A constant-force bistable mechanism for force regulation and overload protection. Mechanism and Machine Theory, 2011, 46: 899-909

González-Péréz I, Iserte JL, Fuentes A. Implementation of Hertz theory and validation of a finite element model for stress analysis of gear drives with localized bearing contact. Mechanism and Machine Theory, 2011, 46: 765-783

Dopico D, Luaces A, Gonzalez M, et al. Dealing with multiple contacts in a human-in-the-loop application. Multibody System Dynamics, 2011, 25: 167-183

Shiau TN, Tsai YJ, Tsai MS. Nonlinear dynamic analysis of a parallel mechanism with consideration of joint effects. Mechanism and Machine Theory, 2008, 43: 491-505

Gummer A, Sauer B. Influence of contact geometry on local friction energy and stiffness of revolute joints. Journal of Tribology, 2012, 134(2): 021402-1-021402-9

Houssem A, Bodo H. Computational efficient inverse dynamics of 6-DOF fully parallel manipulators by using the Lagrangian formalism. Mechanism and Machine Theory, 2009, 44: 192-207

Kim NH, Won D, Burris D, et al. Finite element analysis and experiments of metal/metal wear in oscillatory contacts. Wear, 2005, 258: 1787-1793

Saad M, Kim NH, Mauntler NA, et al. Comparison between elastic foundation and contact force models in wear analysis of planar multibody system. ASME, Journal of Tribology, 2010, 132: 1-11

Dong X, Jin S, Jin Y, et al. Kinetic uncertainty analysis of the reheat-stop-valve mechanism with multiple factors. Mechanism and Machine Theory, 2010, 45: 1745-1765

Mukras S, Kim NH, Mauntler NA, et al. Analysis of planar multibody systems with revolute joint wear. Wear, 2010, 268: 643-652

Flores P. Modeling and simulation of wear in revolute clearance joints in multibody systems. Mechanism and Machine Theory, 2009, 44: 1211-1222

Muvengei O, Kihiu J, Ikua B. Dynamic analysis of planar multi-body systems with LuGre friction at differently located revolute clearance joints. Multibody System Dynamics, 2012, 28(4): 369-393

Schmitz TL, Action JE, Ziegert JC, et al. The difficulty of measuring low friction: Uncertainty analysis for friction coefficient measurement. Journal of Tribology, 2005, 127: 673-678

Margarida M, Pedro M, Paulo F, et al. Compliant contact force models in multibody dynamics: Evolution of the Hertz contact theory. Mechanism and Machine Theory, 2012, 53: 99-121

Zhong W, Hu JJ, Shen P, et al. Experimental investigation between rolling contact fatigue and wear of high-speed and heavy-haul railway and selection of rail material. Wear, 2011, 271: 2485-2493

Nayak N, Laksminarayanan PA, Badu MKG, et al. Predictions of cam follower wear in diesel engines. Wear, 2006, 260: 181-192

Shang WW, Cong S, Zhang YX. Nonlinear friction compensation of a 2-DOF planar parallel manipulator. Mechatronics, 2008, 18: 340-346

齐朝晖, 罗晓明, 黄志浩. 含非理想空间棱柱铰的多体系统接触分析.力学学报, 2011, 43(3): 570-578 (Qi Zhaohui, Luo Xiao-ming, Huang Zhihao. Frictional contact analysis of spatial prismatic joints in multibody systems. Acta Mechanica Sinica, 2011, 43(3): 570-578 (in Chinese))

Niclas S. A method for structural dynamic contact problems with friction and wear. International Journal for Numerical Methods in Engineering, 2003, 58(15): 2371-2385

Mukras S, Kim NH, Sawyer WG, et al. Numerical integration schemes and parallel computation for wear prediction using finite element method. Wear, 2009, 266: 822-831

Mukras S, Mauntler NA, Kim NH, et al. Modeling a slider-crank mechanism with joint wear. SAE Internationa, 2009-01-0403: 1-11

Su Y, Chen W, Tong Y, et al. Wear prediction of clearance joint by integrating multi-body kinematics with finite-element method. In: Proc. IMechE Part J: J Engineering Tribology, 2010, 224: 1-9

刘迎春, 余跃庆. 考虑运动副间隙的连杆及机器人机构研究进展. 机械科学与技术, 2004, 23(4): 454-460 (Liu Yingchun, Yu Yueqing. A survey of mechanism and robot with clearances. Mechanical Science and Technology, 2004, 23(4): 454-460 (in Chinese))

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 (Dong Fuxiang, Hong Jiazhen. Review of impact problem for dynamics of multibody system. Advances in Mechanics, 2009, 39(3): 352-359 (in Chinese))

曹登庆, 初世明, 李郑发等. 空间可展机构非光滑力学模型和动力学研究.力学学报, 2013, 45(1): 3-15 (Cao Dengqing, Chu Shiming, Li Zhengfa, et al. Study on the non-smooth mechanical models and dynamics for space development mechanisms. Acta Mechanica Sinica, 2013, 45(1): 3-15 (in Chinese))

Megahed SM, Haroun AF. Analysis of the dynamic behavioral performance of mechanical systems with multibody clearance joints. ASME, J Comput Nonlinear Dyn , 2012, 7: 011002

Gonthier Y, McPhee J, Lange C, et al. A regularized contact model with asymmetric damping and dwell-time dependent friction. Multibody System Dynamics, 2004, 11: 209-233

Liu CS, Zhang K, Yang L. Normal force displacement relationship of spherical joints with clearances. ASME Jounral Comput Nonlinear Dynam, 2006, 1(2): 160-168

Soong K, Thompson BS. A theoretical and experimental investigation of the dynamic response of a slider-crank mechanism with radial clearance in the gudgeon-pin joint. Journal of Mechanical Design, 1990, 112(2): 183-189

Parenti-Castelli V, Venanzi S. Clearance influence analysis on mechanisms. Mechanism and Machine Theory, 2005, 40: 1316-1329

Erkaya S, Uzmay I. Investigation on effect of joint clearance on dynamics of four-bar mechanism. Nonlinear Dynamics, 2009, 58: 179-198

Bu WH, Liu ZY, Tan JR, et al. Detachment avoidance of joint elements of a robotic manipulator with clearances based on trajectory planning. Mechanism and Machine Theory, 2010, 45: 925-940

阎绍泽,陈鹿民,季林红等.含间隙铰的机械多体系统动力学模型.振动工程学报, 2003, 16(3): 290-294 (Yan Shaoze, Chen Lumin, Ji Linhong, et al. Dynamic modeling of multibody system with clearance joints. Journal of Vibration Engineering , 2003, 16(3): 290-294 (in Chinese))

Machado M, Flores P, Claro JCP, et al. Development of a planar multi-body model of the human knee joint. Nonlinear Dynamics, 2010, 60: 459-478

Gilardi G, Sharf I. Literature survey of contact dynamics modeling. Mechanism and Machine Theory, 2002, 37: 1213-1239

Flores P, Ambro'sio J, Claro JCP, et al. Dynamics of multibody systems with spherical clearance joints. Computer Nonlinear Dynamics, 2006, 1: 240-247

Flores P, Ambrósio J. On the contact detection for contact-impact analysis in multibody systems. Multibody System Dynamics, 2010, 24: 255-280

Hippmann G. An algorithm for compliant contact between complexly shaped bodies. Multibody System Dynamics, 2004, 12: 345-362

Bai ZF, Zhao Y. Dynamic behaviour 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

Tian Q, Zhang YQ, Chen LP, et al. Dynamics of spatial flexible multibody systems with clearance and lubricated spherical joints. Computers and Structures, 2009, 87: 913-929

Bauchau OA, Ju C. Modeling friction phenomena in flexible multibody dynamics. Computer Methods in Applied Mechanics and Engineering, 2006, 195(50): 6909-6924

Goldsmith W. Impact-The Theory and Physical Behaviour of Colliding Solids. England, London, Edward Arnold Ltd, 1960

Lopes DS, Silva MT, Ambrósio JA, et al. A mathematical framework for rigid contact detection between quadric and superquadric surfaces. Multibody System Dynamics , 2010, 24: 103-122

Xuan BT, Nur H, Hideki Y. Modeling of dynamic friction behaviors of hydraulic cylinders. Mechatronics , 2012, 22: 65-75

Flores P. Dynamic analysis of mechanical systems with imperfect kinematic joints. [PhD Thesis]. Portugal: Universidade Do Minho, 2004

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): 201-213 (Liu Lilan, Liu Hongzhao, Wu Ziying, et al. An overview of friction models in mechanical systems. Advances in Mechanics, 2008, 38(2): 201-213 (in Chinese))

Schmitz TL, Action JE, Ziegert JC, et al. The difficulty of measuring low friction: Uncertainty analysis for friction coefficient measurement. Journal of Tribology , 2005, 127: 673-678

Ambrósio JAC. Impact of rigid and flexible multibody systems:deformation description and contact models. Virtual Nonlinear Multibody Systems, Nato Advanced Study Institute, Prague, 2002, 2: 15-33

Bauchau QA, Rodriguez J. Modeling of joints with clearance in flexible multibody systems. International Journal of Solids and Structures, 2002, 39: 41-63

丁千, 翟红梅. 机械系统摩擦动力学研究进展.力学进展, 2013, 43(1): 112-131 (Ding Qian, Zhai Hongmei. The advance in researches of friction dynamics in mechanics system. Advances in Mechanics , 2013, 43(1): 112-131 (in Chinese))

Paulo F. A parametric study on the dynamic response of planar multibody systems with multiple clearance joints. Nonlinear Dynamics , 2010, 61(4): 633-653

Machado M, Flores P, Ambrósio J, et al. Influence of the contact model on the dynamic response of the human knee joint. In: Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 2011, 225(4): 344-358

Alexander G, Bernd S. Influence of contact geometry on local friction energyand stiffness of revolute joints. Journal of Tribology, 2012, 134(2): 021402-1-021402-9

Dietl P, Wensing J, van Nijen GC. Rolling bearing damping for dynamic analysis of multi-body systems-experimental and theoretical results. Journal of Multi-body Dynamics, 2000, 214: 33-43

Wriggers P. Computational Contact Mechanics. 2nd edn. Berlin: Springer-Verlag, 2006

Gilardi G, Sharf I. Literature survey of contact dynamics modelling. Mechanism and Machine Theory, 2002, 37: 1213-1239

Zhao Y, Bai ZF. Dynamics analysis of space robot manipulator with joint clearance. Acta Astronautica, 2011, 68: 1147-1155

Glocker C. Formulation of spatial contact situations in rigid multibody systems. Computer Methods in Applied Mechanics and Engineering, 1999, 177: 199-214

王琪,庄方方,郭易圆等.非光滑多体系统动力学数值算法的研究进展 .力学进展, 2013, 43(1): 101-111 (Wang Qi, Zhuang Fangfang, Guo Yiyuan, et al. Advances in the research on numerical methods for non-smooth dynamics of multibody systems. Advances in Mechanics , 2013, 43(1): 101-111 (in Chinese))

Wang YT, Kumar V. Simulation of mechanical systems with multiple frictional contacts. Journal of Mechanical Design, 1994, 116: 571-580

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