基于矩形单元波函数叠加法的平面近场声全息  

Planar near-field acoustic holography based on rectangular element wave function superposition method

作　　者：范少杰 向宇[2] 石梓玉 FAN Shaojie;XIANG Yu;SHI Ziyu(School of Mechanical and Automotive Engineering,Guangxi University of Science and Technology,Liuzhou 545616,China;Guangxi Key Laboratory of Automobile Component and Vehicle Technology(Guangxi University of Science and Technology),Liuzhou 545616,China)

机构地区：[1]广西科技大学机械与汽车工程学院,广西柳州545616 [2]广西汽车零部件与整车技术重点实验室(广西科技大学),广西柳州545616

出　　处：《广西科技大学学报》2023年第2期1-7,共7页Journal of Guangxi University of Science and Technology

基　　金：国家自然科学基金项目(51775121)资助。

摘　　要：波叠加法和等效源法都是平面近场声全息中的常用方法。传统波叠加法需要对所有单元计算数值积分,效率较低;等效源法直接将单元积分简化为单极子点源,计算效率获得提高,但其过度简化导致精度损失。针对以上问题,在基于波叠加法的平面近场声全息基础上,提出一种替代矩形单元积分的波函数叠加法。该方法将矩形单元的积分声场表示成Helmholtz方程球面波谱的波函数形式,并结合球面波谱的性质,将单元的远场球面波谱内推至近场,由此获得了与矩形单元积分声场等价的外部声场显式波函数解析表达式,有效避免了传统波叠加法的数值积分以及传统等效源法的过度简化。利用矩形简支板的近场声全息算例对比了所提方法、传统波叠加法以及传统等效源法的重建效果。结果表明:所提方法在全频段的声场重建精度均高于传统等效源法,在高频段的重建精度高于传统波叠加法,其计算效率显著高于传统波叠加法。Both wave superposition and equivalent source methods are commonly used in planar nearfield acoustic holography.The conventional wave superposition method needs to calculate numerical integration for all elements,which is less efficient;the equivalent source method directly simplifies the element integration to a monopole point source,and the computational efficiency is improved,but its over-simplification leads to the loss of accuracy.To address the above problems,a wave function superposition method based on the wave superposition method for planar near-field acoustic holography is proposed as an alternative to rectangular element integration.The method represents the integrated sound field of the rectangular element as the wave function form of the spherical wave spectrum of Helmholtz equation,and combines the nature of the spherical wave spectrum to interpolate the far-field spherical wave spectrum of the cell to the near field,thus obtaining the analytical expression of the explicit wave function of the external sound field equivalent to the integrated sound field of the rectangular element,effectively avoiding the numerical integration of the conventional wave superposition method and the oversimplification of the traditional equivalent source method.The reconstruction effects of the proposed method,the conventional wave superposition method and the conventional equivalent source method are compared using the near-field acoustic holographic algorithm of a rectangular simply supported plate.The results show that the reconstruction accuracy of the proposed method is higher than that of the conventional equivalent source method in all frequency bands,and the reconstruction accuracy in the high frequency bands is higher than that of the conventional wave superposition method,and its computational efficiency is significantly higher than that of the conventional wave superposition method.

关 键 词：近场声全息 波叠加法 等效源法 波函数 

分 类 号：TB52[理学—物理]