Reflection sound field's characteristics for spherical sound wave from a parabolic mirror

被引:0
|
作者
Zhang J. [1 ]
Chen P. [1 ]
Chen Z. [1 ]
Zhao Y. [2 ]
Zeng X. [2 ]
机构
[1] Key Laboratory of Aerodynamic Noise Control, China Aerodynamics Research and Development Center, Mianyang
[2] College of Opto-electronic Science and Engineering, National University of Defense Technology, Changsha
来源
Zeng, Xinwu | 1600年 / Chinese Vibration Engineering Society卷 / 35期
关键词
Parabolic mirror; Reflection sound field; Spherical sound wave;
D O I
10.13465/j.cnki.jvs.2016.17.022
中图分类号
学科分类号
摘要
Based on Kirchhoff-Helmholtz sound diffraction theory, a transient axial solution to reflection sound field of spherical acoustic wave from a parabolic mirror was derived. It was assumed that the spherical ware's wavelength be small compared to the dimensions of the mirror and the geometric acoustic theory could be applied. The theoretical solution indicated that the near field reflection wave consists of three parts, i.e., center wave, edge wave and wake wave; the phase of the center wave is opposite to those of the edge wave and wake one; the wave form of the far field reflection wave is consistent with that of the derivative of the sound source wave, and its sound pressure amplitude is inversely proportion to propagation distance and direct proportion to frequency. Taking a sinusoidal wave as an example, evolution and formation processes of its reflection sound field were presented. The existence of three wavelets and the correctness of the theoretical solution were verified with simulations using the software COMSOL. Lastly, the characteristics of the reflection sound field were studied, and the effects of geometric parameters of the mirror on the characteristics were discussed. It was shown that if the aperture of the mirror is fixed, an optimal depth-to-focal-length ratio d/zF=3.92 exists to maximize the sound power density of the far field reflection wave. © 2016, Editorial Office of Journal of Vibration and Shock. All right reserved.
引用
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页码:127 / 133
页数:6
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