1.School of Mechanical Engineering, Shenyang University of Technology, Shenyang 110870, China;
2.School of Intelligent Systems Engineering, Shenyang City University, Shenyang 110112, China
The prime movers providing limit power are called non-ideal ones.In engineering, almost all the prime movers are non-ideal ones.The vibration systems driven by non-ideal prime movers are called non-ideal vibration systems.In non-ideal vibration systems, the motion states of the prime movers and the vibration systems interact with each other.Sommerfeld effect is a non-linear jumping phenomenon induced due to the fact that the non-ideal prime mover cannot provide enough power to pass the resonance region of the vibration system.The Sommerfeld effect in a vibration system driven by a typical prime mover, namely a three-phase asynchronous motor, was studied.Firstly, introducing the dynamic model of the three-phase asynchronous motor into the vibration system, a dynamic model of the non-ideal vibration system was established.Then, the analytical relation between the power supply frequency and the rotation speed of the motor was acquired by using the analytical method.Moreover, the stability analysis was carried out by using the perturbation method.Based on Matlab/Simulink, the simulation results show the correctness of the analytical method.Finally, the influences of the eccentric mass and motor power on the non-ideal vibration system were analyzed.It is found that the interaction between the prime mover and vibration system shouldn’t be ignored but must be fully considered in the study of non-ideal vibration systems.
姜娇1，2，孔祥希1，罗园庆1，许琦1，陈长征1. 三相异步电动机驱动振动系统的Sommerfeld效应分析[J]. 振动与冲击, 2021, 40(6): 127-134.
JIANG Jiao1,2，KONG Xiangxi1，LUO Yuanqing1，XU Qi1，CHEN Changzheng1. Sommerfeld effect in a vibration system driven by a three-phase asynchronous motor. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(6): 127-134.
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