机电集成超环面传动随惯量波动的稳定性分析  

Stability Analysis for Electromechanical Integrating Toroidal Drive to the Fluctuation of Rotatory Intertia for Rotor

作　　者：郝秀红[1] 许立忠[1] 

机构地区：[1]燕山大学机械工程学院,秦皇岛066004

出　　处：《机械工程学报》2008年第4期69-73,共5页Journal of Mechanical Engineering

基　　金：国家教育部博士点基金(20050216005)

摘　　要：机电集成超环面传动系统是一种集机、电、控制于一体的新型广义复合传动机构,传动过程中转子转动惯量的非线性波动将严重影响系统的动力学行为。超环面传动系统中,空间均匀布置的多个行星轮由于存在制造和安装误差,造成其回转中心的周期性波动,引起转子转动惯量的变化。针对转子惯量的周期性波动,首先用泰勒级数展开及变量替换将系统运动微分方程化为典型的马蒂厄方程的形式。然后利用林滋泰德—庞加莱摄动法,计算出了特定参数激励频率下系统的稳定性曲线,给出了系统稳定图,并讨论了系统的稳定性。其次分析了转子惯量波动的激励频率及振幅对系统稳定性的影响。最后以算例说明了本文中理论的实际应用。Electromechanical integrated toroidal drive is a new-style generalized composite transmission in which mechanism, electronism and control are integrated. The dynamic characteristics of toroidal drive system are affected by nonlinear fluctuation of rotatory inertia for the rotor during running obviously. In toroidal drive, manufacture error and installation error of multi-planets that are equably placed in space lead to periodic fluctuation of their gyration center and the rotor moment of inertia. Firstly, considering the fluctuation of rotatory inertia, the differential equation of toroidal drive system is expanded into the form of Mathieu equation by talor series expansion and chang-of-variable. And then, stabilities curves and stabilities figures of toroidal drive system with different excited frequencies are worked out by Linstedt-Poincare Perturbation method, and stabilities of toroidal drive system are discussed. Next, excited frequencies and amplitude of rotatory inertia for the rotor are analyzed in influence on stabilities of toroidal drive system. Finally, an example illustrates practical application of theories. Key words： Electromechanical integration Toroidal drive Parameter excitation Stability Perturbation method

关 键 词：机电集成 超环面传动 参数激励 稳定性 摄动法 

分 类 号：TH132[机械工程—机械制造及自动化]