二维振动方向变换器的耦合振动及其等效电路

二维振动方向变换器集功率合成和二维超声输出的功能于一体,在功率超声技术中具有重要的应用价值。然而,对于二维振动方向变换器的设计分析只有一种较为复杂的波动方程法。为此,本文研究了二维振动方向变换器的另外一种简明的设计分析方法——等效电路法。通过引入二维机械耦合系数和纵向力转换系数,利用力电类比原理建立了二维振动方向变换器的同相及反相二维耦合振动的统一等效电路模型。利用本文提出的设计方法,计算了两种不同材料的二维振动方向变换器的谐振频率,与有限元计算结果及实验测试结果一致,为该类超声振动系统的工程应用提供了一种简洁直观的设计分析方法。 

Equivalent circuit of the two-dimensional vibration direction converter in coupled vibration

With the features of transmitting energy from multiple directions to one direction and transmitting vibrations from one source in multiple directions, the two-dimensional vibration direction converter has important applications in power ultrasonic technology. However, for the complexity of using the wave equation to design and analysis the two- dimensional vibration direction converter, a concise equivalent circuit for the converter is investigated in this work. By introducing a two-dimensional mechanical coupling coefficient and a longitudinal force transform coefficient, and based on the electromechanical analogy principle, the equivalent circuit and resonance frequency equation of the two-dimensional vibration direction converter vibrating in anti-phase and in-phase two-dimensional coupled vibration is deduced. The resonance frequencies of two two.dimensional vibration direction converters consisted of two different materials are calculated by using the proposed frequency equation, which are in agreement with the results from the finite element method and the experimental test. It provides a concise method for the design and applications of such ultrasonic vibration system.