考虑自由液面影响的有限长脉动圆柱远场声学分析

郭文杰2,李天匀1,3,4,朱翔1,3,4,林子钦1,4

振动与冲击 ›› 2018, Vol. 37 ›› Issue (23) : 24-30.

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (23) : 24-30.
论文

考虑自由液面影响的有限长脉动圆柱远场声学分析

  • 郭文杰2,李天匀1,3,4,朱翔1,3,4,林子钦1,4
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Far-field acoustic analysis for a finite long pulsating cylinder considering effects of free liquid surface

  • GUO Wenjie2, LI Tianyun1,3,4,ZHU Xiang1,3,4,LIN Ziqin1,4
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摘要

本文建立了水下有限长圆柱脉动振动时,考虑自由液面影响的声散射模型,并提出了求解其远场声压的解析方法。通过结合镜像原理和Graf加法定理,得到声压在波数域表达式,再利用稳相法即可求得远场声压。研究结果表明,由于自由液面影响,辐射声和散射声会产生类偶极子效应,一方面随着浸没深度或者频率的增大,远场声压指向性分瓣增多;另一方面场点声压随浸没深度周期波动,但散射声压呈波动衰减。此外,若频率较低且浸没深度大于五倍半径,互散射效应可以忽略不计,这给有限空间内如何合理忽略目标与界面互散射效应提供参考。

Abstract

Here,an acoustic scattering model of a finite long pulsating cylinder considering effects of free liquid surface was established,and an analytical method to solve the far-field sound pressure was proposed.Using the image method combined with Graf’s addition theorem,the expression for sound pressure in wavenumber domain was deduced.Then,the far-field sound pressure was derived using the stationary phase method.The study results showed that radiated sound and scattered one produce a dipole-like effect due to effects of free liquid surface; the far-field sound pressure’s directional sectioning increases with increase in immersion depth or frequency; the field point sound pressure periodically fluctuates with increase in immersion depth,while the scattering sound pressure fluctuates and decays; if frequency is low and immersion depth is larger than five times of cylinder radius,the mutual scattering effect can be neglected,this provides a reference for how to properly ignore the mutual scattering effect between target and interface within a limited space.

关键词

自由液面 / 镜像原理 / Graf加法定理 / 稳相法

Key words

free surface / image method / Graf’s addition theorem / stationary phase method

引用本文

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郭文杰2,李天匀1,3,4,朱翔1,3,4,林子钦1,4. 考虑自由液面影响的有限长脉动圆柱远场声学分析[J]. 振动与冲击, 2018, 37(23): 24-30
GUO Wenjie2, LI Tianyun1,3,4,ZHU Xiang1,3,4,LIN Ziqin1,4. Far-field acoustic analysis for a finite long pulsating cylinder considering effects of free liquid surface[J]. Journal of Vibration and Shock, 2018, 37(23): 24-30

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