Distribution Optimization for Acoustic Design of Porous Layer by the Boundary Element Method
Distribution Optimization for Acoustic Design of Porous Layer by the Boundary Element Method
复制标题
边界元法多孔层声学设计分布优化
DOI：
10.1007/s40857-020-00181-7
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发表时间：
2020-03
影响因子：
1.7
通讯作者：
Chen H
中科院分区：
文献类型：
--
作者：
Xu Y;Zhao W;Chen L;Chen H
在这项工作中，我们开发了一种优化方法来优化腔体内多孔材料层的分布。优化旨在改善多孔材料的吸声效果，降低感兴趣区域的噪声水平或增加多孔材料耗散的声能。为了达到预定的优化目标，相应地定义了两个不同的目标函数。用Delany-Bazley-Miki经验模型对多孔材料的吸声特性进行了数值描述，并用边界元分析中的导纳边界条件对其进行了模拟。基于固体各向同性材料的惩罚方法，建立了单元导纳与人工单元密度之间的导纳内插格式。将离散优化问题转化为连续优化问题，利用灵敏度信息用梯度求解器进行求解。作为本研究的关键，我们发展了一种基于伴随变量法和快速多极子方法的快速灵敏度分析方法，用于计算目标函数对大量设计变量的灵敏度。最后，通过一个客舱实例对提出的优化方法进行了验证。
In this work, we develop an optimization approach to optimize the distribution of porous material layer inside cavity. The optimization seeks to improve the absorbing effects of the porous material, decreasing the noise level at regions of interest or increasing the sound energy dissipated by the porous material. To achieve the preset optimization aim, two different objective functions are accordingly defined. The acoustic absorption characteristics of porous materials are numerically described using the Delany–Bazley–Miki empirical model and modeled by the admittance boundary conditions in the boundary element analysis. Based on the solid isotropic material with penalization method, an admittance interpolation scheme is established between the element admittance and artificial element density. This transforms the discrete optimization into a continuous optimization problem, which can be solved by a gradient solver with the sensitivity information. As a key treatment in this study, we develop a fast sensitivity analysis approach based on an adjoint variable method and the fast multipole method to calculate the sensitivities of the objective function with respect to a large number of design variables. Finally, we validate the proposed optimization approach through a cabin example.
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影响因子：
2.4
作者：
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通讯作者：
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影响因子：
4.7
作者：
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影响因子：
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作者：
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使用快速多极边界元法进行 3D 声学形状灵敏度分析
影响因子：
1.7
作者：
Zheng, C. J.;Chen, H. B.;Matsumoto, T.;Takahashi, T.
通讯作者：
Takahashi, T.
影响因子：
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作者：
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通讯作者：
H. Peters;N. Kessissoglou;S. Marburg