Bandgap and wave attenuation optimization of tetra-chiral metamaterial using PSO algorithm

Abstract

The development of vibration suppression systems with desired efficiency and low cost is one of the significant challenges in engineering. In this study, a parametric lattice model is considered to analyze the wave mitigation features in the metamaterial based on a tetra-chiral topology of the periodic cell equipped with internal resonators. Bloch wave theorem and finite element method are employed to explore the bandgap of the structure and its wave mitigation features. Since the unit cell geometry can be designed to open and shift bandgaps, particle swarm optimization algorithm is used to find the largest possible gap in the desired frequency range. The optimization method is programmed using MATLAB combined with an in-house finite element solver, considering the parameters' ranges to ensure geometric compatibility. In all studied cases, the optimized geometry leads to superior vibration suppression and larger complete bandgaps.

Keywords

mechanical metamaterial vibration attenuation optimization algorithm bandgap wave mitigation

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References

Abdeljaber

Avci

Inman

(2016) Optimization of chiral lattice based metastructures for broadband vibration suppression using genetic algorithms. Journal of Sound and Vibration 369: 50–62.

Abdeljaber

Avci

Kiranyaz

, et al. (2017) Optimization of linear zigzag insert metastructures for low-frequency vibration attenuation using genetic algorithms. Mechanical Systems and Signal Processing 84: 625–641.

Arretche

Matlack

(2019) Experimental testing of vibration mitigation in 3D-printed architected metastructures. Journal of Applied Mechanics 86(11).

Baravelli

Ruzzene

(2013) Internally resonating lattices for bandgap generation and low-frequency vibration control. Journal of Sound and Vibration 332(25): 6562–6579.

Brillouin

(1953) Wave Propagation in Periodic Structures: Electric Filters and Crystal Lattices. Dover publications.

Chang

I-L

Liang

Z-X

Kao

H-W

, et al. (2018) The wave attenuation mechanism of the periodic local resonant metamaterial. Journal of Sound and Vibration 412: 349–359.

Chen

Scarpa

, et al. (2017) Lattice metamaterials with mechanically tunable Poisson’s ratio for vibration control. Physical Review Applied 7(2): 024012.

Dong

Chen

Zeng

, et al. (2019) Analysis of wave band gaps in mechanical metamaterial based on Nelder–Mead method. Engineering Analysis with Boundary Elements 103: 109–115.

Halkjær

Sigmund

Jensen

(2006) Maximizing band gaps in plate structures. Structural and Multidisciplinary Optimization 32(4): 263–275.

10.

Lai

Sheng

, et al. (2011) Hybrid elastic solids. Nature materials 10(8): 620–624.

11.

Liu

Sun

, et al. (2011) Wave propagation characterization and design of two-dimensional elastic chiral metacomposite. Journal of Sound and Vibration 330(11): 2536–2553.

12.

M-H

Feng

Chen

Y-F

(2009) Phononic crystals and acoustic metamaterials. Materials today 12(12): 34–42.

13.

Ranjbar

Boldrin

Scarpa

, et al. (2016) Vibroacoustic optimization of anti-tetrachiral and auxetic hexagonal sandwich panels with gradient geometry. Smart Materials and Structures 25(5): 054012.

14.

Ruzzene

(2004) Vibration and sound radiation of sandwich beams with honeycomb truss core. Journal of sound and vibration 277(4–5): 741–763.

15.

Shiyin

Xiuchang

Hongxing

(2015) A study on the isolation performance of trichiral lattices with gradient geometry. Journal of Vibration and Control 21(16): 3465–3475.

16.

Spadoni

Ruzzene

Gonella

, et al. (2009) Phononic properties of hexagonal chiral lattices. Wave motion 46(7): 435–450.

17.

Spadoni

Ruzzene

Scarpa

(2006) Dynamic response of chiral truss-core assemblies. Journal of intelligent material systems and structures 17(11): 941–952.

18.

Qian

, et al. (2019) Mechanical design and multifunctional applications of chiral mechanical metamaterials: a review. Materials & design 180: 107950.

19.

Zhu

Huang

Hua

, et al. (2016) Vibration isolation characteristics of finite periodic tetra-chiral lattice coating filled with internal resonators. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 230(16): 2840–2850.

20.

Zhu

Liu

, et al. (2014) A chiral elastic metamaterial beam for broadband vibration suppression. Journal of Sound and Vibration 333(10): 2759–2773.