Shape Optimization of Acoustic Enclosures Based on a Wavelet–Galerkin Formulation
Shape Optimization of Acoustic Enclosures Based on a Wavelet–Galerkin Formulation
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DOI：
10.1142/s1758825115400098
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发表时间：
2015-02
影响因子：
3.5
通讯作者：
Su Zhang;Li-ping Cheng
中科院分区：
文献类型：
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作者：
Su Zhang;Li-ping Cheng
本文研究了隔声罩的形状优化问题。一个一般的程序，包括一个小波-Garlerkin制定和所谓的顶点驱动的形状优化，提出了处理内部声场预测和边界形状的优化的一般问题。结果表明，由于Daubechies小波的紧支撑正交性和良好的拟合能力，它可以作为一个整体基，在一个相对较大的区间上对未知声场进行全局逼近，而不是像大多数基于单元的方法那样进行分段逼近。此功能避免了对封闭体的边界进行网格化，尽管需要顶点来定义边界形状，其位置在形状优化过程中不断更新。以矩形封闭空间为基准，通过研究配方中涉及的一些关键参数的影响来评估和验证所提出的配方。结果表明，沿沿着整个边界的矩形封闭的声压可以准确地近似没有网格。同样的外壳与内部刚性的声学屏幕，然后用于降低声压级在一个选定的区域内，通过优化屏幕的形状，这表明显着的潜力，所提出的方法作为一个形状优化工具的内部声场问题。
The problem of the shape optimization of acoustic enclosures is investigated in this paper. A general procedure, comprising a Wavelet–Garlerkin formulation and a so-called vertex-driven shape optimization is proposed to deal with the general problem of internal sound field prediction and the optimization of the boundary shape. It is shown that, owing to the compactly supported orthogonal property and the remarkable fitting ability, Daubechies Wavelet can be used as a global basis to approximate the unknown sound field on a relatively large interval globally instead of piecewise approximation like most of element based methods do. This feature avoids meshing the boundary of the enclosure, although vertex points are needed to define the boundary shape, whose positions keep updating during the shape optimization process. A rectangular enclosure is used as benchmark to assess and validate the proposed formulation, by investigating the influence of some key parameters involved in the formulation. It was shown that the sound pressure along the entire boundary of the rectangular enclosure can be accurately approximated without meshing. The same enclosure with an inner rigid acoustic screen is then used to reduce the sound pressure level within a chosen area through optimizing the shape of the screen, which shows the remarkable potentials of the proposed approach as a shape optimal tool for inner sound field problems.