薄圆环振子的超声扭转振动及其等效电路研究

Ultrasonic torsional vibration and equivalent circuit of thin annular resonator

对薄圆环振子的扭转振动进行了研究,导出了其等效电路,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.通过对有限元(FEM)模态的分析表明,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.

The torsional vibration of thin annular resonator was studied and the equivalent circuit was derived, the resonance frequency equation and the resonance frequency were obtained. By means of the numerical methods, the fitted curves between roots of the frequency equation and the ratios of diameter of the resonator were established. Verified by FEM, it showed that the theoretical values basically agreed with the simulation results of FEM, which suggested some rules for the engineering designs and calculations of annular torsional resonator.