纵向激发圆柱体超声频耦合振动的等效线路及其分析

本文利用表观弹性法的理论,得出了圆柱体耦合振动的一种等效线路,讨论了圆柱体耦合振动的频率方程及负载阻抗对振动频率的影响,计算了圆柱振动输入机械阻抗以及径向与纵向表观振速比随其几何尺寸变化的关系曲线.分析及计算结果表明,利用等效线路分析圆柱体的耦合振动,物理意义明显,计算简单,是分析及合理设计圆柱振动体的一种很方便的途径。

The equivalent circuit of longitudinally excited ultrasonic coupling vibration of a short column

On the basis of apparent elasticity method, we developed the equivalent circuit of coupling vibration of a short column. Using the equivalent circuit we calculated the input impedance and the apparent radial-to-longitudinal vibrating velocity ratio. The results show that the analyses and calculations of the short column can be simplified and rational designs of this kind of column as a radiator working in liquid medium can be attained our experiments indicate that the measured frequency agrees well with the designed one and the rationally designed short column is a kind of high power radiator in the liquid medium.