Topological design of hexagonal lattice phononic crystals for vibration attenuation combined fast plane wave expansion method with elite seed strategy genetic algorithm

Lin Liao; Song Yao; Yunrui Zhu; Rongqian Ma; Yingli Li

Results in Physics (Apr 2024)

Topological design of hexagonal lattice phononic crystals for vibration attenuation combined fast plane wave expansion method with elite seed strategy genetic algorithm

Lin Liao,
Song Yao,
Yunrui Zhu,
Rongqian Ma,
Yingli Li

Affiliations

Lin Liao: Key Laboratory of Traffic Safety on Track (Central South University), Ministry of Education, School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China; National & Local Joint Engineering Research Center of Safety Technology for Rail Vehicle, Central South University, Changsha 410075, China
Song Yao: Key Laboratory of Traffic Safety on Track (Central South University), Ministry of Education, School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China; Joint International Research Laboratory of Key Technology for Rail Traffic Safety, Central South University, Changsha 410075, China; National & Local Joint Engineering Research Center of Safety Technology for Rail Vehicle, Central South University, Changsha 410075, China; Corresponding author at: Key Laboratory of Traffic Safety on Track (Central South University), Ministry of Education, School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China.
Yunrui Zhu: Key Laboratory of Traffic Safety on Track (Central South University), Ministry of Education, School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China; National & Local Joint Engineering Research Center of Safety Technology for Rail Vehicle, Central South University, Changsha 410075, China
Rongqian Ma: Key Laboratory of Traffic Safety on Track (Central South University), Ministry of Education, School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China; Joint International Research Laboratory of Key Technology for Rail Traffic Safety, Central South University, Changsha 410075, China
Yingli Li: Key Laboratory of Traffic Safety on Track (Central South University), Ministry of Education, School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China; Joint International Research Laboratory of Key Technology for Rail Traffic Safety, Central South University, Changsha 410075, China; National & Local Joint Engineering Research Center of Safety Technology for Rail Vehicle, Central South University, Changsha 410075, China

Journal volume & issue: Vol. 59
p. 107562

Abstract

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The characteristics of manipulating elastic wave propagation in phononic crystals (PnCs) have been applied in various fields. A triangular element discrete method for two-dimensional (2D) hexagonal lattice PnCs is proposed, which combines with the fast plane wave expansion method (FPWEM) to obtain the band structure. As compared to the finite element method (FEM), time consumption is one order of magnitude faster while ensuring accuracy. To design the wider band gap (BG) of PnCs, the elite seed strategy genetic algorithm (ESS-GA) is used to optimize the topology of PnCs for in-plane mode and out-of-plane mode, and based on this, the proposed method is first applied to optimize hexagonal lattice PnCs, which is extended to the BG design of mixed mode. The relationship between the optimized individual under different propagate modes, and the volume fraction of PnCs at each BG is explained, physical mechanism of optimized unit cells is also estimated through iso-frequency contours and dynamic effective mass. The numerical and experimental results of a hexagonal lattice composed of optimized unit cells indicate that elastic waves can be suppressed within the BG, fully demonstrating the effectiveness of the method. In addition, this method is expected to explore its potential applications in the reverse design of PnCs.

Published in Results in Physics

ISSN: 2211-3797 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics
Website: http://www.journals.elsevier.com/results-in-physics/

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