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VIBRO-ACOUSTIC DESIGN BASED ON MICROSTRUCTURE TOPOLOGY OPTIMIZATION

机译:基于微结构拓扑优化的振动声学设计

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摘要

Topological design of the periodic microstructure with respect to minimization of the total sound power radiation from the boundaries of the macrostructure is studied in the present paper. The macrostructure is excited at a single or a band of excitation frequencies by a time-harmonic external mechanical loading with prescribed amplitude and spatial distribution. The structural damping is considered to be Rayleigh damping. The microstructure composed of two different solid isotropic material phases is assumed to be identical from point to point at the macro level, which implies that the interface between the structure and the acoustic medium will not change during the design process. The upper limit of the volume fraction of the strong material is given.A high frequency approximation model is employed to implement calculation of the sound power and the corresponding sensitivity analysis. The proposed methods are validated by several numerical examples concerning single and multiple frequency optimization problems.
机译:本文研究了周期性微观结构的拓扑设计,以最小化来自宏观结构边界的总声功率辐射。通过具有规定的振幅和空间分布的时谐外部机械载荷,以单个或一个激发频率带激发宏观结构。结构阻尼被认为是瑞利阻尼。假定由两个不同的固体各向同性材料相组成的微观结构在宏观层面上从点到点是相同的,这意味着在设计过程中结构与声介质之间的界面不会改变。给出了强材料体积分数的上限。采用高频近似模型进行声功率的计算和相应的灵敏度分析。通过几个关于单频和多频优化问题的数值例子验证了所提出的方法。

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