由于声源体受到冲击而振动的持续时间很短，这种情况下声源体向空间中辐射声波的过程不能看做稳态的过程，不再适用稳态声全息理论。本文采用球面瞬态声全息的模型，对自由空间中受到冲击的球产生声辐射的过程进行数值仿真，仿真中分别采用Tikhonov正则化方法和共轭梯度法处理运算中遇到的矩阵病态和解不稳定的问题，并对仿真结果进行对比分析。结果表明，在一定的容许误差范围内，2种方法都适用。
Since the duration time of the sound body under shock is very short, the process of the sound radiation cannot be regarded as a steady-state in this situation, and the steady acoustical holography theory is useless at this time. This paper adopted the model of spherical transient acoustical holography, made numerical simulation of ball shocking sound radiation in free space. In the process of simulation, conditioned matrix and unstable solution encountered in calculation were solved by Tikhonov regularization method and conjugate gradient method. The simulation results showed that the two methods are applicable in a certain range of allowable error.
2017,(): 81-84 收稿日期：2016-09-13
DOI：10.3404/j.issn.1672-7649.2017.11.015
分类号：O328
基金项目：国家自然科学基金资助项目（51179197）
作者简介：揭伟俊(1985-),男,硕士研究生,研究方向为军事装备学
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