阻性消声器声学性能预测的快速多极子边界元法  

A fast multipole boundary element method for acoustic performance prediction of dissipative silencers

作　　者：崔晓兵[1] 季振林[1] 

机构地区：[1]哈尔滨工程大学动力与能源工程学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2011年第4期428-433,共6页Journal of Harbin Engineering University

基　　金：国家自然科学基金资助项目(10874034)

摘　　要：为解决大尺度声场中常见的多区域复合及多吸声材料复合问题,提出了一种子结构快速多极子边界元法.鉴于未知量列向量的构建次序及边界节点编号顺序对迭代收敛速度有重要影响,提出了整体矩阵方程的构建原则.此外,针对复数形式声参数对多极子展开式计算准确性的影响,对快速多极子边界元法进行了研究与修正.以膨胀腔阻性消声器为例,应用子结构快速多极子边界元法与传统边界元法计算其传递损失.结果表明,该方法与修正是有效的,而且在某给定频率下,随着边界未知节点数的增大,其相对于传统边界元法在计算效率方面的优势越来越明显.To solve the large scale sound field problems with multi-domain and multi-absorbing materials,a substructure fast multipole boundary element approach was developed.In view of the fact that the arrangement order of an unknown column vector and the node number affected the speed of convergence,a principle was proposed to compose the whole matrix equation.Additionally,in light of the accuracy effect of multipole expansion computation caused by the complex acoustic parameters,some studies and corrections were conducted on the fast multipole boundary element method（FMBEM）.As an example of application,the transmission loss of a dissipative expansion chamber silencer was calculated by using the substructure FMBEM and the conventional boundary element method（CBEM）.The results indicate that the present approach and corrections are valid.Compared to the CBEM,the advantage of substructure FMBEM in computational efficiency was more obvious as the number of boundary nodes increased for a given frequency.

关 键 词：子结构快速多极子边界元法 多区域声场 吸声材料 阻性消声器 传递损失 

分 类 号：TB535[理学—物理]