arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1503.07325cond-mat.mtrl-sci
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二维多孔声子晶体拓扑优化中的对称性降阶

Reducing symmetry in topology optimization of two-dimensional porous phononic crystals

Hao-Wen Dong, Yue-Sheng Wang, Yan-Feng Wang, Chuanzeng Zhang

摘要:

在本文中,我们提出了一个全面的研究多目标优化的二维多孔声子晶体(PnCs)在正方形和三角形晶格与约化的拓扑对称性的单位细胞。采用基于快速非支配排序的遗传算法II进行优化,得到了Pareto最优解。结果表明,对称性约化对优化结构有显著影响。分析了优化结构的物理机理。拓扑优化与对称性约简相结合可以发现新的结构,并为设计基于PnC的器件提供新的自由度。特别是,本文所提出的旋转对称结构可以用来探索和设计新的手征超材料。

英文摘要:

In this paper we present a comprehensive study on the multi-objective optimization of two-dimensional porous phononic crystals (PnCs) in both square and triangular lattices with the reduced topology symmetry of the unit-cell. The fast non-dominated sorting-based genetic algorithm II is used to perform the optimization, and the Pareto-optimal solutions are obtained. The results demonstrate that the symmetry reduction significantly influences the optimized structures. The physical mechanism of the optimized structures is analyzed. Topology optimization combined with the symmetry reduction can discover new structures and offer new degrees of freedom to design PnC-based devices. Especially, the rotationally symmetrical structures presented here can be utilized to explore and design new chiral metamaterials.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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