Far-field acoustic analysis for a finite long pulsating cylinder considering effects of free liquid surface

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (23) : 24-30.

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

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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.

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

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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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