子结构FMBEM在消声器声场计算中的迭代收敛  

Iterative Convergence of Substructure FMBEM in Sound Field Calculation of Silencer

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,哈尔滨150001

出　　处：《噪声与振动控制》2011年第1期145-148,共4页Noise and Vibration Control

基　　金：国家自然科学基金项目(基金编号:10874034)

摘　　要：子结构快速多极子边界元法融合了快速多极子算法、边界元法与子结构技术,使复杂结构声学问题的高效准确计算成为可能。然而对于不同的求解模型,其迭代收敛速度不稳定甚至不能收敛,直接影响了其在工程实际问题中的广泛应用。鉴于此,文章对子结构快速多极子边界元法,按照不同的矩阵构建及预处理方案分析其迭代收敛特性及影响因素。研究发现,除了采取恰当的矩阵预条件处理技术之外,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着重要影响;单步迭代时间随着计算频率的增大而呈指数增长。此外,以内插管型消声器传递损失的计算为例,通过与实验值的比较证实该方法的准确性与有效性。Substructure fast multipole boundary element method combines the fast multipole method,boundary element method and the substructure technology,so that the efficient and accurate calculation of acoustic problems for complex structures will be possible.However,for different models,the iterations become instable or even can not converge,and its application in practical engineering is directly limited.In view of this fact,the iterative convergence characteristics and influencing factors are analyzed for substructure FMBEM according to different plans of matrix composing and preconditioning.Studies show that in addition to taking the appropriate matrix preconditioning,the arrangement orders of unknown column vectors and the node numbers have an important influence on the convergence rate;the computation time per iteration step grows exponentially with the increasing of computation frequency.Finally,the transmission loss of the expansion chamber with extended inlet and outlet ducts is calculated as an example.The accuracy and validity of the method are confirmed by comparing the computation result with the experimental data.

关 键 词：声学 声场计算 迭代收敛 子结构FMBEM 消声器 传递损失 

分 类 号：TB535[理学—物理] TB115[理学—声学]