为提高含铰间隙平面连杆机构动力学建模与仿真的效率及可靠性,提出了相应的向量键合图法。通过无质量杆-弹簧阻尼元件来描述旋转铰间隙,建立其向量键合图模型。在此基础上,给出了含铰间隙平面连杆机向量键合图模型的建立方法。针对该类机构向量键合图模型的微分因果环问题,提出了有效的解决方法,克服了其给机构自动建模与仿真所带来的代数困难。应用相应的算法,实现了含铰间隙的机电耦合系统计算机辅助动力学建模与仿真。通过实际算例验证了所述方法的可靠性和有效性。
Abstract
For improving the reliability and efficiency of the dynamic modeling and simulation for planar linkages with joint clearances, a corresponding vector bond graph procedure was proposed. By using the masslesslink/springdamper element to describe revolute joint clearances, a corresponding vector bond graph model was created. Based on this, the procedure for modeling planar linkages with joint clearances was provided. Aiming at the problem of differential causality loop in the mechanism vector bond graph model, a corresponding effective method was introduced. As a result, the algebraic difficulty in the mechanism automatic modeling and simulation was overcome. By the aid of the corresponding algorithm, the computer aided dynamic modeling and simulation of mechatronic systems with joint clearances was realized. By a practical example system, the reliability and validity of the procedure proposed were verified.
关键词
向量键合图 /
动力学建模与仿真 /
铰间隙 /
平面连杆机构 /
因果关系
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] 白争锋.考虑铰间间隙的机构动力学特性研究[D].哈尔滨:哈尔滨工业大学,2011:1-94.
BAI Zheng-feng. Research on dynamic characteristics of mechanism with joint clearance[D]. Harbin: Harbin Institute of Technologe, 2011: 1-94.
[2] 洪嘉振著.计算多体系统动力学[M].北京:高等教育出版社,1999:1-319.
HONG Jia-zheng. Computational dynamics of multibody systems[M]. Beijing: Advanced Education Press, 1999: 1-319.
[3] Karnopp D C, Margolis D L, Rosenberg R C. System dynamics: modeling and simulation of mechatronic systems[M]. New York: Wiley, 2000:1-351.
[4] Cipek M, Pavković D, Petrić J. A control-orientied simulation model of power-split hybrid electric vehicle[J]. Application Energy, 2013, 101: 121-133.
[5] 赵耐丽,唐进元,关文芳等.间隙接触碰撞副键合图建模及应用[J].工程设计学报,2011,18(2):115-119.
Zhao Nai-li, Tang Jin-yuan, Guan Wen-fang, et al. Modeling and application to kinematics pair of clearance contacts and collision based on bond graph[J]. Journal of Engineering Design, 2011, 18(2): 115-119.
[6] 唐进元,陈海锋,王祁波.考虑间隙与摩擦时的齿轮传动动力学键合图建模研究[J].机械工程学报,2011,47(9):53-59.
TANG Jin-yuan, CHEN Hai-feng, WANG Qi-bo. Dynamics model of gear transmission with combined friction and clearance by using bond graph method[J]. Journal of Mechanical Engineering, 2011, 47(9): 53-59.
[7] Behzadipour S, Khajepour A. Causality in vector bond graph and its application to modelling of multi-body dynamic systems [J]. Simulation Modelling Practice and Theory, 2006, 14(3): 279-295.
[8] 王威,沈政,宋玉玲等.含间隙和干摩擦的连杆机构系统动力学研究[J].振动与冲击,2015,34(18):211-214.
WANG Wei, SHEN Zheng, SONG Yu-ling, et al. System dynamics of linkage mechanism with clearance and dry friction[J]. Journal of Vibration and Shock, 2015, 34(18): 211-214.
[9] Senevirate, L D, Earles, S W E, Fenner D N. Analysis of four-bar mechanism with a radically compliant clearance joint[A]. Proc Instn Mech Engrs[C], 1996, 210: 215-222.
[10] 王中双.键合图理论及其在系统动力学中的应用[M]. 哈尔滨: 哈尔滨工程大学出版社,2000:114-128.
WANG Zhong-shuang. Bond graph theory and its application in system dynamics[M]. Harbin: Harbin Engineering University Press, 2000: 114-128.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}