椭球面镜声波反射聚焦数值模拟研究

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摘要据Hamilton线性理论解，给出沿椭球面镜轴线的电弧放电等离子声源(AD-PSS)反射波计算结果，分析由镜面引起的相位变化对中心波、边缘波及尾波传播影响。在聚焦前区中心波压力为正，边缘波、尾波压力为负；聚焦后区则相反。在线性条件下，反射波压力峰值出现于椭球面镜几何焦点，越过焦点后反射波压力幅值迅速衰减。利用有限元软件COMSOL对椭球面镜声反射过程进行数值模拟，揭示反射波传播演化过程及声场分布规律。据KZK方程及等效声源法，分析非线性效应对声传播过程影响。研究表明，非线性效应将使椭球面镜实际焦点位置偏离几何焦点，即正压实际焦点出现在几何焦点后，负压实际焦点出现在几何焦点前；随非线性系数增加正压实际焦点后移，负压实际焦点前移。

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	张军1
	陈鹏1
	陈正武1
	赵云2
	曾新吾2

关键词 ：等离子体声源, 反射声波, 椭球面镜

Abstract：Firstly, based on Hamilton’s theoretical linear solution, the numerical results of the reflection waves of arc-discharge plasma sound source (AD-PSS) along the symmetric axis of an ellipsoidal mirror are presented. The propagation characteristics of the center wave, the edge wave and the wake wave are analyzed. Before the far focus of the mirror, the pressure of center wave is positive and that of the edge wave and the wake wave is negative. Beyond the far focus, the situation is reversed. Under linear condition, the peak amplitude of the reflection wave collides with the far focus of the mirror. The pressure amplitude of the reflection wave decays very quickly beyond the far focus. Secondly, the reflection process of the sound wave is simulated using the FEM software COMSOL, and the evolution of the reflection wave and the distribution of the sound field are analyzed. Lastly, based on the KZK equation, the influence of nonlinear effects on the propagation of the reflection wave is discussed.

Key words： plasma sound source reflection sound wave ellipsoidal mirror

收稿日期: 2014-09-23 出版日期: 2016-01-15

引用本文:

张军1，陈鹏1，陈正武1，赵云2，曾新吾2. 椭球面镜声波反射聚焦数值模拟研究[J]. 振动与冲击, 2016, 35(2): 201-206.
ZHANG Jun1，CHEN Peng1，CHEN Zheng-wu1，ZHAO Yun2，ZENG Xin-wu2. Numerical study of the focusing of sound wave using a concave ellipsoidal mirror. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(2): 201-206.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2016/V35/I2/201

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