Theoretical validation of possibility of ultrasonic vibrations’ amplification by means of compound annular elastic elements

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

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Theoretical validation of possibility of ultrasonic vibrations’ amplification by means of compound annular elastic elements

机译：通过复合环形弹性元件进行超声振动放大的可能性的理论验证

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The article provides theoretical validation of possibility of ultrasonic vibrations’ amplification by means of compound annular elastic elements consisting of two annular segments made of materials with different values of elastic modulus. The main advantages of amplifiers based on annular elastic elements in comparison with bar ultrasonic horns are simplicity of fabrication and small dimensions and weight. Method of calculation of annular amplifiers’ natural frequencies and modal shapes based on singular value decomposition is considered. Numerical example of design of annular amplifier with gain factor K = 1,53 is given. It is shown that, as in the case of compound bar horns, amplification is achieved when vibrations are introduced in segment with higher value of elastic modulus.

机译：本文通过复合环形弹性元件提供了理论上的超声振动放大可能性的验证，复合环形弹性元件由两个环形段组成，这些环形段由具有不同弹性模量值的材料制成。与条形超声变幅杆相比，基于环形弹性元件的放大器的主要优点是制造简单，尺寸小，重量轻。考虑了基于奇异值分解的环形放大器固有频率和模态形状的计算方法。给出了增益因子K = 1,53的环形放大器设计的数值示例。结果表明，与复合条形喇叭一样，当在弹性模量值较高的段中引入振动时，可以实现放大。

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《Electronic Journal Technical Acoustics》 |2017年第2期|共13页
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D. Stepanenko; A. Yemelyanova; M. Pleskatch; N. Solodkaya;
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Theoretical validation of possibility of ultrasonic vibrations’ amplification by means of compound annular elastic elements

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