径向开槽薄圆环振子径向振动分析

A study on the radial vibration of a circular ring with radial slots

为研究径向开槽圆环的径向振动特性,基于机电类比原理,建立了开槽圆环的径向振动等效电路,并得出其共振频率方程,探讨了圆环第1、第2阶共振频率及振幅放大系数与其半径比的关系.结果表明:圆环第1阶共振时振幅放大系数随半径比的增大而增大,第2阶共振时振幅放大系数随半径比的增大而下降;其共振频率随半径比的增大而单调上升;理论与有限元数值仿真结果基本一致.

The radial vibration of a circular ring with multiple radial slots was studied. Based on the electro- mechanical analogy, the equivalent circuit and the frequency equation of the slitted circular ring in radial vi- bration were derived. By numerical calculation, the relationship between the displacement amplitude cation factor as well as the resonance frequency of the ring in the first and second order vibration and magnifi its radius ratio were investigated. It was showed that the amplitude magnification factor of the ring increased in the first resonance while decreased in the second resonance with the increase of its radius ratio, and the resonance frequency increased with the radius ratio increased. The theoretical resonance frequencies were in good agreement with that of the FEM simulations.