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Optimization of bandgaps for phononic crystal plate with protrusions based on adaptive genetic algorithm

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DOI: 10.23977/jemm.2024.090116 | Downloads: 8 | Views: 133


Ni Zhen 1, Rurui Huang 1, Wanpeng Wu 1


1 School of Mechanical Engineering, Tianjin University of Science and Technology, Tianjin, 300222, China

Corresponding Author

Ni Zhen


In this paper, phononic crystal plates with spherical, square, and cylindrical protrusions are designed. The band structures of phononic crystal plates with one-side and double-side protrusions are calculated using the finite element method. Under the same set of all parameters, the relative bandgap widths with square and cylindrical protrusions are larger, and the volume with spherical protrusions is smaller. Next, the influences of geometric and material parameters on the relative bandgap width are discussed to determine the decision variable and optimization interval. Finally, an adaptive genetic algorithm is applied to optimize the design of bandgap characteristics and lightweight design. The frequency response curves of the optimized structure are also calculated to verify the accuracy and efficiency of the optimization model. The results show that the relative bandgap width of the phononic crystal plate is enlarged greatly with a slightly increased volume of protrusion for the optimized structure. The study can provide a new idea for applying lightweight phononic crystal plates in vibration damping.


Adaptive genetic algorithm, bandgap characteristic, optimal design, phononic crystal thin plate with protrusion


Ni Zhen, Rurui Huang, Wanpeng Wu, Optimization of bandgaps for phononic crystal plate with protrusions based on adaptive genetic algorithm. Journal of Engineering Mechanics and Machinery (2024) Vol. 9: 105-114. DOI:


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