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  4. Vol 9, Issue 1, 2024

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: 4 | Views: 61

Author(s)

Ni Zhen 1, Rurui Huang 1, Wanpeng Wu 1

Affiliation(s)

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

Corresponding Author

Ni Zhen

ABSTRACT

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.

KEYWORDS

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

CITE THIS PAPER

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: http://dx.doi.org/10.23977/jemm.2024.090116.

REFERENCES

[1] M. Addouche, M. A. Al-Lethawe, A. Choujaa, and A. Khelif. (2014) Superlensing effect for surface acoustic waves in a pillar-based phononic crystal with negative refractive index,Applied Physics Letters, 105, 023501.
[2] Z. Tan, Y. Wei, Y. Tian, and X. Han. (2019) Gradient negative refraction index phononic crystal lens with a rotating scatterer, Materials Research Express, 6, 096203.
[3] F. Yang, Z. Tan, X. Han, and C. Cho. (2021) A graded negative refraction-index phononic crystals plate lens for focusing A0 mode Lamb wave and energy harvesting. Results in Physics, 31, 105006.
[4] X. Zhang and Z. Liu. (2004) Negative refraction of acoustic waves in two-dimensional phononic crystals, Applied Physics Letters, 85, 341.
[5] J. Han, S. Tang, R. Wang, and W. Wang. (2019)Acoustic wave transmission channel based on phononic crystal line defect state, AIP Advances, 9, 065201.
[6] H. Liu, T. Liu, L. Song, Q.-M. Zhang, Y.-X. Fan, and Z.-Y. Tao. (2021) Temperature tuning of defect state induced by the periodic cavities between the phononic crystals,AIP Advances, 11, 075113.
[7] X. P. Wang, P. Jiang, T. N. Chen, and K. P. Yu. (2016) Frequency characteristics of defect states in a two-dimensional phononic crystal with slit structure. International Journal of Modern Physics B, 30, 1650025.
[8] L. Chen, Y. Guo, and H. Yi. (2021) Optimization study of bandgaps properties for two-dimensional chiral phononic crystals base on lightweight design. Physics Letters A, 388, 127054.
[9] Z. Guo, S. Chen, C. Wang, and C. Hao. (2022) Subwavelength bandgap phononic crystals with mixed resonant modes. Physics Letters A, 438, 128109.
[10] D.-H. Han, G.-J. Zhang, J.-B. Zhao, and H. Yao. (2022) Study on bandgap of a novel phononic crystal with low-frequency sound insulation, AIP Advances, 12, 055329.
[11] S. Li, Y. Dou, T. Chen, J. Xu, B. Li, and F. Zhang. (2019) Designing a broad locally-resonant bandgap in a phononic crystals, Physics Letters A, 383, 1371-1377.
[12] W. Li, F. Meng, Y. f. Li, and X. Huang. (2019) Topological design of 3D phononic crystals for ultra-wide omnidirectional bandgaps, Structural and Multidisciplinary Optimization, 60, 2405-2415.
[13] G.-G. Xu, X.-W. Sun, R.-S. Li, Z.-R. Zhang, T. Song, and Z.-J. Liu. (2021) The low-frequency bandgap characteristics of a new three-dimensional multihole phononic crystal, Applied Physics A, 127, 812.
[14] M. M. Sigalas and E. N. Economou. (1992) Elastic and acoustic wave band structure, Journal of Sound and Vibration, 158, 377-382.
[15] Z. Liu, X. Zhang, Y. Mao, Y. Y. Zhu, Z. Yang, C. T. Chan, and P. Sheng. (2000) Locally Resonant Sonic Materials, Science, 289, 1734-1736.
[16] Y. Pan, R. Liu, G. Bin, and X. He. (2022) Vibration and noise reduction of phononic crystal structure laid on the noise transmission path of axial piston pump, Applied Acoustics, 200, 109075.
[17] Y. Ruan, X. Liang, X. Hua, C. Zhang, H. Xia, and C. Li. (2021) Isolating low-frequency vibration from power systems on a ship using spiral phononic crystals, Ocean Engineering, 225, 108804.
[18] B. Zhang, P. Chen, H. Chen, T. Feng, C. Cai, and J. Zhang. (2021) Application of phononic crystals for vibration reduction and noise reduction of wheel-driven electric buses based on neural networks, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 236, 1619-1627.
[19] W. J. SONG Yubao, YU Dianlong. (2018) Review of vibration and noise contral of the plate structures, Journal of Mechanical Engineering 54, 60-77.
[20] W. J. Y. D. W. Gang and Z. H. L. Yaozong. (2005) Theory and experimental investigation of flexural wave propagation in thin rectangular plate with periodic structure, Chinese Journal of Mechanical Engineering, 18, 1.
[21] J. O. Vasseur, P. A. Deymier, B. Djafari-Rouhani, Y. Pennec, and A. C. Hladky-Hennion. (2008) Absolute forbidden bands and waveguiding in two-dimensional phononic crystal plates, Physical Review B, 77, 085415.
[22] Z. J. Yao, G. L. Yu, and J. B. Li. (2011) Flexural Vibration Band Gaps in a Ternary Phononic Crystal Thin Plate, Materials Science Forum, 675-677, 1085-1088.
[23] H.-F. Zhu, X.-W. Sun, T. Song, X.-D. Wen, X.-X. Liu, J.-S. Feng, and Z.-J. Liu. (2021) Tunable characteristics of low-frequency bandgaps in two-dimensional multivibrator phononic crystal plates under prestrain, Scientific Reports, 11, 83-89.
[24] H.-y. Yang et al.. (2023) Low frequency elastic waves and vibration control mechanism of innovative phononic crystal thin plates, Physica B: Condensed Matter, 667, 415189.
[25] Y. Jin, Y. Pennec, Y. Pan, and B. Djafari-Rouhani. (2017) Phononic crystal plate with hollow pillars connected by thin bars, Journal of Physics D: Applied Physics, 50, 035301.
[26] Y. Pennec, B. Djafari-Rouhani, H. Larabi, J. O. Vasseur, and A. C. Hladky-Hennion. (2008) Low-frequency gaps in a phononic crystal constituted of cylindrical dots deposited on a thin homogeneous plate, Physical Review B, 78, 104105.
[27] T.-T. Wu, Z.-G. Huang, T.-C. Tsai, and T.-C. Wu. (2008) Evidence of complete band gap and resonances in a plate with periodic stubbed surface, Applied Physics Letters, 93, 111902.
[28] H.-J. Zhao, H.-W. Guo, M.-X. Gao, R.-Q. Liu, and Z.-Q. Deng. (2016) Vibration band gaps in double-vibrator pillared phononic crystal plate, Journal of Applied Physics, 119, 014903.
[29] Y. Li, J. Chen, X. Han, K. Huang, and J. Peng. (2012) Large complete band gap in two-dimensional phononic crystal slabs with elliptic inclusions, Physica B: Condensed Matter, 407, 1191-1195.
[30] K. Yu, T. Chen, and X. Wang. (2013) Band gaps in the low-frequency range based on the two-dimensional phononic crystal plates composed of rubber matrix with periodic steel stubs, Physica B: Condensed Matter, 416, 12-16.
[31] K. Wang, Y. Liu, and B. Wang. (2019) Ultrawide band gap design of phononic crystals based on topological optimization, Physica B: Condensed Matter, 571, 263-272.
[32] X. K. Han and Z. Zhang. (2019) Topological Optimization of Phononic Crystal Thin Plate by a Genetic Algorithm, Scientific Reports, 9, 8331.
[33] C. Xiong, C.-Y. Lee, and Q.-H. Qin. (2023) Topology optimization of single-phase phononic crystals based on a search-space-reduction strategy with a Genetic Algorithm, Materials Today Communications, 34, 105069.
[34] W. Li, G.-G. Wang, and A. H. Gandomi. (2021) A Survey of Learning-Based Intelligent Optimization Algorithms, Archives of Computational Methods in Engineering, 28, 3781-3799.
[35] X. Wen, L. Kang, X. Sun, T. Song, L. Qi, and Y. Cao. (2023) Topological Design of Two-Dimensional Phononic Crystals Based on Genetic Algorithm, Materials,16.
[36] L. Xie, B. Xia, J. Liu, G. Huang, and J. Lei. (2017) An improved fast plane wave expansion method for topology optimization of phononic crystals, International Journal of Mechanical Sciences, 120, 171-181.

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