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2024 | OriginalPaper | Chapter

Analysis of Bandgap Formation Mechanism Based on the Programmable Curved-Beam Periodic Structure

Authors : Hong Cheng, Jia-Jia Mao

Published in: Proceedings of 2023 the 6th International Conference on Mechanical Engineering and Applied Composite Materials

Publisher: Springer Nature Singapore

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Abstract

In order to investigate the propagation and isolation mechanisms of elastic waves, we propose a programmable curved beam periodic structure (PCBPS). The PCBPS is assembled by a unit cell containing bistable curved beams, which is equivalent to a spring oscillator system, and is used to analyze the principle of bandgap formation. We employ the finite element method (FEM) and theoretical analysis to validate the proposed equivalent model. By equating the spring oscillator system, we compute closed-form solutions to demonstrate the accuracy and predictability of the dispersion relation. Our results show that the spring-oscillator model can accurately predict the structural bandgap of PCBPS while obtaining the effect of the geometrical parameters of the unit cell on the structural bandgap. The ideas presented and the results obtained have significant potential for designing functional structures and facilitating the practical application of periodic structures for wave insulation and propagation control in different frequency ranges.

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Literature
1.
Huang, H., Sun, C., Huang, G.: On the negative effective mass density in acoustic metamaterials. Int. J. Eng. Sci. 47, 610–617 (2009)CrossRef
2.
Zhou, J., Wang, K., Xu, D., Ouyang, H.: Multi-low-frequency flexural wave attenuation in Euler-Bernoulli beams using local resonators containing negative-stiffness mechanisms. Phys. Lett. A 381, 3141–3148 (2017)CrossRef
3.
Liu, Z., Chan, C.T., Sheng, P.: Analytic model of phononic crystals with local resonances. Phys. Rev. B 71, 014103 (2005)CrossRef
4.
El-Borgi, S., Fernandes, R., Rajendran, P., Yazbeck, R., Boyd, J.G., Lagoudas, D.C.: Multiple bandgap formation in a locally resonant linear metamaterial beam: theory and experiments. J. Sound Vib. 488, 115647 (2020)CrossRef
5.
Ji, J.C., Luo, Q., Ye, K.: Vibration control based metamaterials and origami structures: a state-of-the-art review. Mech. Syst. Signal Process. 161, 107945 (2021)CrossRef
6.
Harne, R.L., Wang, K.W.: A review of the recent research on vibration energy harvesting via bistable systems. Smart Mater. Struct. 22, 023001 (2013)CrossRef
7.
Wu, T.T., Huang, Z.G., Tsai, T.C., Wu, T.C.: Evidence of complete band gap and resonances in a plate with periodic stubbed surface. Appl. Phys. Lett. 93, 111902 (2008)CrossRef
8.
Tang, X.L., Ma, T.X., Wang, Y.S.: Topological rainbow trapping and acoustic energy amplification in two-dimensional gradient phononic crystals. Appl. Phys. Lett. 122, 112201 (2023)CrossRef
9.
Aghighi, F., Morris, J., Amirkhizi, A.V.: Low-frequency micro-structured mechanical metamaterials. Mech. Mater. 130, 65–75 (2019)CrossRef
10.
Zhao, S.-D., Dong, H.-W., Miao, X.-B., Wang, Y.-S., Zhang, C.: Broadband coding metasurfaces with 2-bit manipulations. Phys. Rev. Appl. 17, 034019 (2022)CrossRef
11.
Wang, K., Zhou, J., Xu, D., Ouyang, H.: Lower band gaps of longitudinal wave in a one-dimensional periodic rod by exploiting geometrical nonlinearity. Mech. Syst. Signal Process. 124, 664–678 (2019)CrossRef
12.
Zhou, J., Dou, L., Wang, K., Xu, D., Ouyang, H.: A nonlinear resonator with inertial amplification for very low-frequency flexural wave attenuations in beams. Nonlinear Dyn. 96, 647–665 (2019)CrossRef
13.
Fan, H., Yang, L., Tian, Y., Wang, Z.: Design of metastructures with quasi-zero dynamic stiffness for vibration isolation. Compos. Struct. 243, 112244 (2020)CrossRef
14.
Liu, F., Shi, P., Xu, Y., Cao, L., Shen, Y., Yang, Z.: Total reflection of flexural waves by circular meta-slab and its application in vibration isolation. Int. J. Mech. Sci. 212, 106806 (2021)CrossRef
15.
Wu, Z.J., Liu, W.Y., Li, F.M., Zhang, C.Z.: Band-gap property of a novel elastic metamaterial beam with X-shaped local resonators. Mech. Syst. Signal Process. 134, 106357 (2019)CrossRef
16.
Liu, X.N., Hu, G.K., Sun, C.T., Huang, G.L.: Wave propagation characterization and design of two-dimensional elastic chiral metacomposite. J. Sound Vib. 330, 2536–2553 (2011)CrossRef
17.
Deng, J., Xu, Y.X., Guasch, O., Gao, N.S., Tang, L.L., Guo, W.J.: A wave and Rayleigh-Ritz method to compute complex dispersion curves in periodic lossy acoustic black holes. J. Sound Vib. 546, 117449 (2023)CrossRef
18.
Dong, H.-W., Zhao, S.-D., Miao, X.-B., Shen, C., Zhang, X., Zhao, Z., et al.: Customized broadband pentamode metamaterials by topology optimization. J. Mech. Phys. Solids 152, 104407 (2021)MathSciNetCrossRef
19.
Dong, H.W., Zhao, S.D., Wang, Y.S., Zhang, C.Z.: Topology optimization of anisotropic broadband double-negative elastic metamaterials. J. Mech. Phys. Solids 105, 54–80 (2017)MathSciNetCrossRef
20.
Ma, T.-X., Fan, Q.-S., Zhang, C., Wang, Y.-S.: Flexural wave energy harvesting by the topological interface state of a phononic crystal beam. Extreme Mech. Lett. 50, 101578 (2022)CrossRef
21.
Qiu, J., Lang, J.H., Slocum, A.H.: A curved-beam bistable mechanism. J. Microelectromech. Syst. 13, 137–146 (2004)CrossRef
22.
Pi, Y.-L., Bradford, M.A.: In-plane stability of preloaded shallow arches against dynamic snap-through accounting for rotational end restraints. Eng. Struct. 56, 1496–1510 (2013)CrossRef
23.
Huang, W.C., Ma, C., Qin, L.H.: Snap-through behaviors of a pre-deformed ribbon under midpoint loadings. Int. J. Solids Struct. 232, 111184 (2021)CrossRef
24.
Mao, J.-J., Wang, S., Tan, W., Liu, M.: Modular multistable metamaterials with reprogrammable mechanical properties. Eng. Struct. 272, 114976 (2022)CrossRef
25.
Tan, X.J., Chen, S., Zhu, S.W., Wang, B., Xu, P.F., Yao, K.L., et al.: Reusable metamaterial via inelastic instability for energy absorption. Int. J. Mech. Sci. 155, 509–517 (2019)CrossRef
26.
Ma, H., Wang, K., Zhao, H., Mu, R., Yan, B.: A reusable metastructure for tri-directional energy dissipation. Int. J. Mech. Sci. 214, 106870 (2022)CrossRef
27.
Che, K., Yuan, C., Wu, J., Jerry Qi, H., Meaud, J.: Three-dimensional-printed multistable mechanical metamaterials with a deterministic deformation sequence. J. Appl. Mech. 84, 011004 (2017)CrossRef
28.
Correa, D.M., Seepersad, C.C., Haberman, M.R.: Mechanical design of negative stiffness honeycomb materials. Integr. Mater. Manuf. Innov. 4, 165–175 (2015)CrossRef
29.
Meaud, J., Che, K.K.: Tuning elastic wave propagation in multistable architected materials. Int. J. Solids Struct. 122, 69–80 (2017)CrossRef
30.
Liu, E., Fang, X., Wen, J.: Harmonic and shock wave propagation in bistable periodic structure: regularity, randomness, and tunability. J. Vib. Control 0, 1–12 (2021)
31.
Hussein, H., Le Moal, P., Bourbon, G., Haddab, Y., Lutz, P.: Modeling and stress analysis of a pre-shaped curved beam: influence of high modes of buckling. Int. J. Appl. Mech. 7(4), 1550055 (2015)CrossRef
Metadata
Title
Analysis of Bandgap Formation Mechanism Based on the Programmable Curved-Beam Periodic Structure
Authors
Hong Cheng
Jia-Jia Mao
Copyright Year
2024
Publisher
Springer Nature Singapore
Book
Proceedings of 2023 the 6th International Conference on Mechanical Engineering and Applied Composite Materials

Print ISBN: 978-981-9716-77-7

Electronic ISBN: 978-981-9716-78-4

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-981-97-1678-4_30

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