一种改进的声学边界元方法及其求解器开发  

An improved acoustic boundary element method and its solver development

作　　者：俞振兴 李鹏[1] YU Zhenxing;LI Peng(School of Mechanics and Aerospace Engineering,Southwest Jiaotong University,Chengdu 610031,China)

机构地区：[1]西南交通大学力学与航空航天学院,成都610031

出　　处：《计算机辅助工程》2025年第1期9-13,19,共6页Computer Aided Engineering

基　　金：国家自然科学基金(12072298,12172311)。

摘　　要：提出一种改进的边界元方法(boundary element method,BEM),采用常数四边形单元离散结构边界以方便计算奇异积分,运用CHIEF方法以保证常规边界积分方程(conventional boundary integral equation,CBIE)在低频振动条件下解的唯一性,并利用C++程序设计语言开发该边界元算法的求解器及其图形用户界面。以典型模型的声辐射问题计算为例验证该求解器的正确性,计算结果与参考结果吻合良好,说明改进方法适用于结构振动噪声的数值仿真。An improved boundary element method(BEM)is proposes.The structural boundary is discretized using constant quadrilateral elements to facilitate the calculation of singular integrals.The CHIEF method is applied to ensure the uniqueness of the solution for the conventional boundary integral equation(CBIE)under low-frequency vibration conditions.The solver for this boundary element algorithm and its graphical user interface are developed using the C++programming language.The correctness of the solver is verified by computing the sound radiation problem of typical models,and the results are in good agreement with the reference results,indicating that the improved method is suitable for numerical simulation of structural vibration and noise.

关 键 词：声辐射 奇异积分 求解器 圆柱壳 边界元 有限元 

分 类 号：TP311.561[自动化与计算机技术—计算机软件与理论] TB115.1[自动化与计算机技术—计算机科学与技术]