锥盘形超声聚能器的耦合振动特性与优化设计

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摘要超声聚能器具有放大振幅、匹配声阻抗、提高声能量传输效率的作用，盘形聚能器与压电圆管组合能够扩大声能量的辐射范围。采用传统的一维理论对盘形聚能器振动的分析，往往忽略了高度对振动的影响。为了获得符合盘形聚能器实际振动的解析理论，本文以结构简单且易加工的锥盘形超声聚能器为研究对象，利用等效弹性法分析了高度与半径尺寸接近的聚能器的径、纵向耦合振动。通过引入机械耦合系数，推导得到了聚能器耦合振动的机电等效电路、共振频率方程组和径向位移放大倍数。进一步分析了聚能器机械耦合系数、共振频率和径向位移放大倍数与几何尺寸的依赖关系。利用有限元法对聚能器的耦合振动模态进行了仿真，理论计算与模拟结果一致，验证了理论推导的正确性。振动特性与优化结论的获得为盘形聚能器的工程应用提供了理论依据，为径向复合换能器的振动分析奠定了研究基础。

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	徐洁1
	臧渡洋2
	王国章1
	林基艳1

关键词 ：超声聚能器, 耦合振动, 等效弹性法, 共振频率

Abstract：The disc ultrasonic concentrator combines with the piezoelectric tube to achieve the large radiation scope. Traditional research on the vibration of the ultrasonic concentrator is based on the one-dimensional theory which ignored the effect of height on vibration. Whereas, the actual vibration of the disc ultrasonic concentrator is the coupling of radial and longitudinal vibration. The object of the analysis is the conical disc ultrasonic concentrator because of the simple structure and easy process, which the diameter is close to the longitudinal dimension. The equivalent elasticity method is used and the mechanical coupling coefficient is introduced to analyze coupled vibration of this concentrator. The electromechanical equivalent circuit, the resonance frequency equations and the radial displacement amplification of the ultrasonic concentrator are derived. Moreover, the dependences between the coupling coefficient, the resonance frequency, radial displacement magnification and geometric size are analyzed. The coupled vibration modes of the ultrasonic concentrator are simulated and the numerical resonance frequencies are obtained from the finite element analysis. The theoretical analyses are consistent with the numerical results, which verifies the theoretical derivation. The conclusion provides the theoretical research basis for the engineering application for the ultrasonic concentrator and the radial composite transducers.

Key words： ultrasonic concentrator coupled vibration equivalent elasticity method resonance frequency

收稿日期: 2022-08-05 出版日期: 2023-03-28

引用本文:

徐洁1，臧渡洋2，王国章1，林基艳1. 锥盘形超声聚能器的耦合振动特性与优化设计[J]. 振动与冲击, 2023, 42(6): 263-271.
XU Jie1, ZANG Duyang2, WANG Guozhang1, LIN Jiyan1. Coupled vibration characteristics and optimization design of a conical disc ultrasonic concentrator. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(6): 263-271.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2023/V42/I6/263

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