Sommerfeld effect in a vibration system driven by a three-phase asynchronous motor

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (6) : 127-134.

JIANG Jiao1,2，KONG Xiangxi1，LUO Yuanqing1，XU Qi1，CHEN Changzheng1

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Abstract

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.

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Sommerfeld effect / three-phase asynchronous motor / vibration system / jump phenomenon

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JIANG Jiao1,2，KONG Xiangxi1，LUO Yuanqing1，XU Qi1，CHEN Changzheng1. Sommerfeld effect in a vibration system driven by a three-phase asynchronous motor[J]. Journal of Vibration and Shock, 2021, 40(6): 127-134

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