Sommerfeld Effect of Non-ideal Vibration System Driven by AC Motor

doi:10.12068/j.issn.1005-3026.2023.05.007

Abstract

Abstract: By taking the spring mass damping system of the single degree of freedom excited by the eccentric rotor as the object， Sommerfeld effect of the non-ideal vibration system driven by the AC motor as the prime motor was studied. The electromagnetic torque formula of the AC motor was introduced to establish the dynamic model of the vibration system driven by the AC motor. Based on the small parameter averaging method， the approximate solution of the vibration system response was obtained. According to the solution， the torque balance equation of the motor in steady-state motion was derived. Numerical analysis illustrated that the angular velocity of the motor and the frequency of power will jump in the resonance region， and the relationship between the amplitude of the system and the frequency of power has hard non-linear characteristics. The mechanism of these phenomena was explained by the stability judgment conditions， and the correctness of the theoretical method was verified by the numerical time domain simulation. Finally， the key structural parameters were discussed quantitatively and qualitatively.

Key words: non-ideal vibration system; non-linearity; jump; AC motor; stability

CLC Number:

TH113.1

CHEN Xiao-zhe， LIU Jun-qi， ZHONG Shan， LI Ling-xuan. Sommerfeld Effect of Non-ideal Vibration System Driven by AC Motor[J]. Journal of Northeastern University(Natural Science), 2023, 44(5): 660-666.

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