Complex retraction equivalent source method for solving external acoustic problems  

作　　者：CHEN Jie XIANG Yu SHI Ziyu 

机构地区：[1]School of Mechanical and Automotive Engineering,Guangxi University of Science and Technology,Liuzhou 545006 [2]Guangxi Key Laboratory of Automobile Components and Vehicle Technology,Guangxi University of Science and Technology,Liuzhou 545006 [3]Institute of Sound and Vibration Research,Hefei University of Technology,Hefei 230009

出　　处：《Chinese Journal of Acoustics》2025年第1期45-65,共21页声学学报(英文版)

基　　金：supported by the National Natural Science Foundation of China(12364055,51775121).

摘　　要：In order to overcome the non-unique solution problem of the conventional equivalent source method at the corresponding eigenfrequency,the basic guidelines of adding virtual damping into the equivalent source method is proposed according to the damping characteristics of the imaginary part of the coordinates of the equivalent source point.The complex source point constructed by complex retraction is used to add virtual damping to the equivalent source system,and a complex retractive equivalent source method with unique solution in full wavenumber domain is proposed.The mechanism of the complex retraction equivalent source method in overcoming the non-unique solution problem is described in accordance with the zero-point characteristic of the characteristic indicator function,involving the theory,modeling method and selection of damping parameter.The simulation and analysis of typical acoustic radiation and acoustic scattering problems indicate that the present method can obtain the unique solution in the entire frequency domain simply and effectively for arbitrarily shaped acoustic source.Its computational accuracy and efficiency are equivalent to the conventional equivalent source method,which solves the problem of poor adaptability of the complex radius vector method.

关 键 词：Equivalent source method Complex source point Virtual damping NONUNIQUENESS EIGENFREQUENCY 

分 类 号：O17[理学—数学]