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中国物理学会期刊

波叠加声场重构精度的影响因素分析

CSTR: 32037.14.aps.57.4258

Analysis of the impact factors on the accuracy of sound field reconstruction based on wave superposition

CSTR: 32037.14.aps.57.4258
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  • 波叠加法是利用等效源的思想来求解声辐射问题的一种数值方法.其原理并没有确切地规定如何配置等效源.正由于这些不确切性的存在,当将它应用到声场重构时,有必要检验重构的准确性,分析影响重构精度的各种因素,目的是通过分析而获得一些提高重构精度的规律.通过理论分析和数值仿真,分析了各因素对重建准确性的影响.证明等效源必须配置在辐射体内部,而且最好能与辐射体表面共形;但测量面并不需要与辐射体表面共形,而且也不需要在近场测量;还发现,Tikhonov和TSVD正则化方法很适合与波叠加法结合用于声场重构.依据这些规律能更好地应用波叠加法进行声场重构,也将拓宽其应用范围.

     

    Wave superposition is a numerical method for calculating sound radiation based on the principle of equivalent source. However, the principle does not indicate definitely how to collocate these equivalent sources. So, it is necessary to evaluate its reconstruction accuracy and analyze the impact factors when wave superposition is applied to sound field reconstruction. The purpose of this study is to find some rules for improving the reconstruction accuracy. A number of impact factors on the precision of sound field reconstruction have been analyzed through theoretical analysis and numerical simulation. It has been proved that the equivalent sources have to be collocated inside of a radiator; moreover, it is best for them to conform to the radiator's shape. However, the measurement plane needs not to conform to the radiator's shape, and even does not need to measure in near-field. In addition, it has been shown that Tikhonov and TSVD regularization method can work well with wave superposition when applied to sound field reconstruction. On the basis of these rules, wave superposition can be used to perform better sound field reconstruction; and also its application range can be extended.

     

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