反向回转双机驱动振动系统的自同步理论  

Self-synchronization Theory of a Vibrating System with Two-motor Drives Rotating in Opposite Directions

作　　者：赵春雨[1] 刘戡[1] 叶小芬[1] 王得刚[1] 闻邦椿[1] 

机构地区：[1]东北大学机械工程与自动化学院,沈阳110004

出　　处：《机械工程学报》2009年第9期24-30,共7页Journal of Mechanical Engineering

基　　金：国家自然科学基金重点资助项目(50535010)

摘　　要：利用异步电动机电压同步坐标系,得出电动机稳态运行时电磁转矩与转速的关系。运用动力学理论分析反向回转双机驱动振动系统的动力学特性,建立系统频率俘获的方程,得到实现频率俘获的条件及俘获频率和两偏心转子相位差的理论计算方程。利用非线性动力学理论,建立了频率俘获的稳定方程。利用Routh-Hurwitz准则获得系统稳定性条件。The relation between the electromagnetic torque and the rotor speed of an induction motor is derived in the synchronous frame of the stator voltage. The dynamic characteristic of a vibrating system with two-motor drives rotating in opposite directions is analyzed by using the dynamic theory and the equations of frequency capture are established. The conditions for implementing frequency capture and the equations of calculating capturing frequency and the phase difference are obtained. The stable equations of implementing frequency capture in the system are deduced by using nonlinear dynamics theory and the condition for system stability is obtained by using Routh-Hurwitz criterion.

关 键 词：频率俘获 机电耦合 非线性动力学 自同步 振动系统 

分 类 号：TH113[机械工程—机械设计及理论]