OPTIMAL DESIGN IN VIBRO-ACOUSTIC PROBLEMS INVOLVING PERFORATED PLATES
OPTIMAL DESIGN IN VIBRO-ACOUSTIC PROBLEMS INVOLVING PERFORATED PLATES
复制标题
涉及穿孔板的振动声学问题的优化设计
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
V. Lukes
中科院分区：
文献类型：
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作者：
E. Rohan;V. Lukes
本文讨论了与声波相互作用的穿孔板的设计灵敏度和优化。利用嵌入 Reissner-Mindlin 型变形板的虚拟层中振动声学相互作用的均匀化，导出了界面两侧声压场耦合的传输条件。目标函数对于射孔设计的敏感性分析基于形状导数和伴随方程技术。可以解决包含板的波导中传输损耗的最小化或最大化的问题，以找到板穿孔的分段周期性设计，其形状用一些优化参数来描述。 Eduard Rohan、Vladimı́r Lukeš 图 1：左图：全局域分解为 Ω 和 Ω−，由界面 Γ0 上表示的均质穿孔板分隔开。中：利用振动声学问题的均质化导出传输条件，声压跃变与横向声速 g 成正比。右：穿孔界面和代表性周期单元 Y = Y ∗ ∪ S。
The paper deals with design sensitivity and optimization of perforated plates which interact with acoustic waves. Transmission conditions for coupling the acoustic pressure fields on both sides of the interface were derived using the homogenization of vibroacoustic interactions in a fictitious layer in which the Reissner-Mindlin type of deforming plate is embedded. The sensitivity analysis of an objective function with respect to the perforation design is based on the shape derivatives and the adjoint equation technigue. The problem of minimization, or maximization of transmission losses in a waveguide containing the plate can be solved to find piecewise periodic design of the plate perforation the shape of which is described with a few optimization parameters. Eduard Rohan, Vladimı́r Lukeš Figure 1: Left: The global domain decomposition into Ω and Ω− separated by the homogenized perforated plate represented on the interface Γ0. Center: The transmission conditions were derived using homogenization of the vibroacoustic problem, the acoustic pressure jump is proportional to the transverse acoustic velocity g. Right: perforated interface and the representative periodic cell Y = Y ∗ ∪ S.