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

被引：36

作者：

Dong, Hao-Wen ^{[1
,2
]}

Wang, Yue-Sheng ^{[1
]}

Wang, Yan-Feng ^{[1
]}

Zhang, Chuanzeng ^{[2
]}

机构：

[1] Beijing Jiaotong Univ, Inst Engn Mech, Beijing 100044, Peoples R China

[2] Univ Siegen, Dept Civil Engn, D-57068 Siegen, Germany

来源：

AIP ADVANCES | 2015年 / 5卷 / 11期

基金：

中国国家自然科学基金;

关键词：

PHOTONIC BAND-GAPS; GENETIC ALGORITHM; SOUND-ATTENUATION; PHOXONIC CRYSTALS; ACOUSTIC-WAVES; DESIGN; SCATTERERS; REDUCTION; SHAPES; GUIDE;

D O I：

10.1063/1.4936640

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

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. (C) 2015 Author(s).

引用

页数：16

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