FEM/wideband FMBEM coupling for structural–acoustic design sensitivity analysis
FEM/wideband FMBEM coupling for structural–acoustic design sensitivity analysis
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DOI：
10.1016/j.cma.2014.03.016
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发表时间：
2014-07
影响因子：
7.2
通讯作者：
Leilei Chen;C. Zheng;Haibo Chen
中科院分区：
文献类型：
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作者：
Leilei Chen;C. Zheng;Haibo Chen
提出了一种基于有限元和宽带快速多极边界元的耦合算法(宽带FMBEM)，用于声流-结构相互作用模拟和结构-声学设计灵敏度分析。将宽带快速多极子方法与对角形式的快速多极子方法相结合，用来加速边界元分析中矩阵向量积的计算。采用迭代求解器广义最小残差法加快了线性方程组的求解速度。有限元/宽带FMBEM算法使数值预测任意形状振动结构对声场的影响成为可能。数值算例验证了该算法的有效性和有效性。
A coupling algorithm based on the finite element method (FEM) and the wideband fast multipole boundary element method (wideband FMBEM) is proposed for acoustic fluid–structure interaction simulation and structural–acoustic design sensitivity analysis by using the direct differentiation method. The wideband fast multipole method (FMM), which is developed by combining the original FMM and the diagonal form FMM, is used to accelerate the calculation of the matrix–vector products in boundary element analysis. The iterative solver generalized minimal residual method is applied to accelerate the calculation of the solution to the linear system of equations. The FEM/wideband FMBEM algorithm makes it possible to predict the effects of arbitrarily shaped vibrating structures on the sound field numerically. Numerical examples are presented to demonstrate the validity and efficiency of the proposed algorithm.