The Low-Frequency Broadband Mechanism of Nonlinear Elastic Metamaterials With Gaps

LIN Zhen; WU Jiuhui

doi:10.21656/1000-0887.430103

Volume 43 Issue 5

May 2022

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LIN Zhen, WU Jiuhui. The Low-Frequency Broadband Mechanism of Nonlinear Elastic Metamaterials With Gaps[J]. Applied Mathematics and Mechanics, 2022, 43(5): 524-533. doi: 10.21656/1000-0887.430103

Citation:

LIN Zhen, WU Jiuhui. The Low-Frequency Broadband Mechanism of Nonlinear Elastic Metamaterials With Gaps[J]. Applied Mathematics and Mechanics, 2022, 43(5): 524-533. doi: 10.21656/1000-0887.430103

Citation:

LIN Zhen, WU Jiuhui. The Low-Frequency Broadband Mechanism of Nonlinear Elastic Metamaterials With Gaps[J]. Applied Mathematics and Mechanics, 2022, 43(5): 524-533. doi: 10.21656/1000-0887.430103

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The Low-Frequency Broadband Mechanism of Nonlinear Elastic Metamaterials With Gaps

doi: 10.21656/1000-0887.430103

LIN Zhen,
WU Jiuhui^,

School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, P.R.China

Received Date: 2022-03-08
Rev Recd Date: 2022-04-29

Available Online: 2022-05-12

Publish Date: 2022-05-15

Abstract

Abstract

A new formation mechanism of the low-frequency broadband within gapped nonlinear local resonance structures was revealed based on the nonlinear chaos theory, and a novel concept for designing nonlinear local resonant structures with small gaps was further proposed. Due to the small gaps, the nonlinear chaos phenomenon occurs in the local resonance system, which can change the spectrum structure in vibration noise successfully, and the linear spectral energy greatly weakens and a continuous broad spectrum forms after chaotic motion, to effectively isolate the low-frequency spectrum. Most importantly, the finite element results show that, the nonlinearity of the small gap indeed leads to the low-frequency band-gap within the nonlinear local resonance. Therefore, the new idea for designing the nonlinear local resonance structure makes a new way to the development of local resonant elastic metamaterials, and the formation mechanism of low-frequency band-gap based on the nonlinear chaos theory lays a very important theoretical basis for vibration and noise reduction.
- nonlinear acoustic metamaterial,
- local resonance,
- low-frequency broadband

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References(22)

References

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