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Dynamic and stability analysis of a cantilever beam system excited by a non-ideal induction motor
Meccanica ( IF 2.7 ) Pub Date : 2021-03-11 , DOI: 10.1007/s11012-021-01333-3
Jiao Jiang , Xiangxi Kong , Changzheng Chen , Zhaogang Zhang

In this paper, Sommerfeld effect of a non-ideal induction motor in a simple cantilever beam system is studied. On basis of fully considering the interaction between the beam structure and the induction motor and its non-ideal characteristic, a continuous electromechanical coupling model of the typical non-ideal vibration system is developed and discretized by using the assumed mode method. Neglecting the fluctuation of the speed of the induction motor, the average speed at any power frequency is obtained and its stability is analyzed by using the perturbation method. The feasibility of the approach is validated by using some numerical simulations. The results indicate there appears the jump phenomenon, namely the Sommerfeld effect in the beam-motor system. The effects of the unbalance mass and power of induction motor on Sommerfeld effect are analyzed.



中文翻译:

非理想感应电动机激励的悬臂梁系统的动力和稳定性分析

本文研究了非理想感应电动机在简单悬臂梁系统中的Sommerfeld效应。在充分考虑梁结构与感应电动机之间的相互作用及其非理想特性的基础上,采用假设模式方法,建立并离散了典型非理想振动系统的连续机电耦合模型。忽略感应电动机的速度波动,可以得到任意功率频率下的平均速度,并通过摄动法来分析其稳定性。通过一些数值模拟验证了该方法的可行性。结果表明,在光束电机系统中出现了跳变现象,即索默菲尔德效应。

更新日期:2021-03-12
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