计算声场外问题的复回缩等效源法  

Complex retraction equivalent source method for solving external acoustic problems

作　　者：陈洁[1,2] 向宇[1,2] 石梓玉 CHEN Jie;XIANG Yu;SHI Ziyu(School of Mechanical and Automotive Engineering,Guangxi University of Science and Technology,Liuzhou 545006;Guangxi Key Laboratory of Automobile Components and Vehicle Technology,Guangxi University of Science and Technology,Liuzhou 545006;Institute of Sound and Vibration Research,Hefei University of Technology,Hefei 230009)

机构地区：[1]广西科技大学机械与汽车工程学院,柳州545006 [2]广西科技大学广西汽车零部件与整车技术重点实验室,柳州545006 [3]合肥工业大学噪声振动工程研究所,合肥230009

出　　处：《声学学报》2025年第1期165-175,共11页Acta Acustica

基　　金：国家自然科学基金项目(12364055,51775121)资助。

摘　　要：针对常规等效源法在相应特征频率处的非唯一解问题,根据等效源点位置坐标虚部的阻尼特性,分析了在等效源法中添加虚拟阻尼的基本原则,并通过复回缩的方式构建复源点来给等效源系统添加虚拟阻尼,提出了具有全波数域唯一解的复回缩等效源法。根据特征指示函数的零点特征,从理论、建模方式和阻尼参数选取等方面阐述了复回缩等效源法克服非唯一解问题的作用机理。典型声辐射和声散射问题的仿真分析表明,对于任意形状声源,该方法可以简单有效地获得全频域唯一解,其计算精度与效率均与常规等效源法相当,解决了复数矢径法适应性不强的问题。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：等效源法 复源点 虚拟阻尼 非唯一性 特征频率 

分 类 号：O42[理学—声学]