环形振子的扭转振动等效电路及有限元模态分析

基于机电类比原理,对弹性薄圆环振子的扭转振动进行了研究,建立了圆环振子平面扭转振动的机电类比等效电路模型,从等效电路得出了其扭转振动频率方程及共振频率表达式,给出了薄圆环振子频率方程的数值根与其半径比的拟合关系曲线,通过有限元(FEM)模态分析表明,理论与FEM仿真结果符合较好,对环形扭转振子的工程设计具有参考价值.

Study on ultrasonic torsional vibration and equivalent circuit of thin annular resonator

the torsional vibration of thin annular resonator is studied.Based on the electromechanical analogy,the equivalent circuit is derived,the resonance frequency equation and the resonance frequency of the resonator are obtained.By means of the numerical computation,the fitted curves between the roots of the frequency equation and the radius ratios of the resonator are established.Verified by FEM,it is shown that the theoretical values are agreement with the simulation results of FEM,which may theoretically contribute to the engineering designs and calculations of annular torsional resonator.