Investigation of characteristics of ultrasonic vibrations’ compound annular amplifiers by means of transfer matrix method

D. Stepanenko; A. Yemelyanova; M. Pleskatch; N. Solodkaya

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Investigation of characteristics of ultrasonic vibrations’ compound annular amplifiers by means of transfer matrix method

机译：传递矩阵法研究超声振动复合环形放大器的特性

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The article considers application of transfer matrix method for solution of modeling and design problems of ultrasonic vibrations' compound annular amplifiers. On the basis of numerical example it is shown that there are two kinds of eigen modes of amplifier’s vibrations: 1) eigen modes with variable sign of radial vibratory displacements amplitude; 2) eigen modes with constant sign of radial vibratory displacements amplitude. Amplification of vibrations amplitude is ensured only by eigen modes of the second kind. In comparison with method based on solution of differential equations transfer matrix method is more suitable for engineers, since it doesn’t require the knowledge in the field of differential equations theory.

机译：本文考虑将传递矩阵法应用于解决超声振动复合环形放大器的建模和设计问题。通过数值算例表明，放大器的振动本征模态有两种：1）径向振动位移幅度符号变化的本征模态; 2）本征模式具有恒定的径向振动位移幅度符号。振动幅度的放大仅通过第二种本征模式来确保。与基于微分方程解决方案的方法相比，传递矩阵方法更适合工程师，因为它不需要微分方程理论领域的知识。

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《Electronic Journal Technical Acoustics》 |2018年第2期|共11页
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D. Stepanenko; A. Yemelyanova; M. Pleskatch; N. Solodkaya;
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中图分类物理声学;
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Investigation of characteristics of ultrasonic vibrations’ compound annular amplifiers by means of transfer matrix method

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