Three-dimensional phononic crystals topology optimization via successive iteration of analysis and design, and parameter exploration

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (4) : 97-104.

VIBRATION THEORY AND INTERDISCIPLINARY RESEARCH

Three-dimensional phononic crystals topology optimization via successive iteration of analysis and design, and parameter exploration

WANG Yan*1,2，ZHU Yixiao3，WU Shengchuan1，KANG Zhan3

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Abstract

Conventional topology optimization of PnCs needs to perform an inner eigenvalue analysis corresponding to many wave vectors, and an outer design optimization problem to find the optimal unit cell configuration. Such a double-loop nested problem becomes extremely computationally demanding for three-dimensional cases. In this study, based on the successive iteration of analysis and design method, topology optimization of three-dimensional acoustic PnCs is performed to improve the efficiency of design optimization. Therein, the inner loop problem is converted into a single-step inverse iteration to provide sequentially approximated band structures of the intermediate designs. According to the optimization results, several parametric models are built to study the bandgap properties of the optimized three-dimensional PnCs designs. The results of the relative bandgaps and their upper/lower bounds of the unit cells are given through parameter scanning. The influences of different parameters on the bandgap property are analyzed, which may provide useful guidance to the design of three-dimensional acoustic PnCs.

Key words

three-dimensional acoustic phononic crystal / topology optimization / method of successive iteration of analysis and design / parametric modeling / relative band gap

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WANG Yan1, 2, ZHU Yixiao3, WU Shengchuan1, KANG Zhan3. Three-dimensional phononic crystals topology optimization via successive iteration of analysis and design, and parameter exploration[J]. Journal of Vibration and Shock, 2025, 44(4): 97-104

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