文中首先对各向同性弹性薄圆环的径向振动进行了研究,得出了其等效电路。在此基础上,对由双金属圆环组成的阶梯型径向振动变幅器进行了探讨,推出了其径向振动的复合等效电路及其共振频率方程。分析了此类径向振动变幅器的共振频率及径向位移振幅放大系数与其几何尺寸之间的依赖关系。利用数值方法,对变幅器的径向振动特性进行了数值模拟,结果表明,数值结果与解析结果符合很好。
Radial vibration of a thin circular metallic ring is studied. The equivalent circuit is derived. Based on the equivalent circuit, the step-type radial transformer consisting of two such rings is analyzed.The composite equivalent circuit is derived and the resonance frequency equation obtained. Relationship among the resonance frequency, the radial displacement amplitude magnification and the geometrical dimensions is analyzed. The resonance frequency of the step-type radial transformer is obtained with an analytical method as well as a numerical method. The two results are in good agreement.