Numerical and Experimental Investigations on Tunable Low-frequency Locally Resonant Metamaterials

Lin, Qida; Zhou, Jiaxi; Pan, Hongbin; Xu, Daolin; Wen, Guilin

doi:10.1007/s10338-021-00220-4

Cited by 26 publications

(8 citation statements)

References 26 publications

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“…After an optimization of geometrical parameters, the multi-pieces of curved beams are able to produce a quasi-zero-stiffness characteristic. More importantly, the stiffness features of the integrated quasi-zero-stiffness resonator can be tuned easily by changing the deformation degree of the curved beams only, which provides a promising approach to tuning the low-frequency band gap [71][72] . In terms of the quasi-zero-stiffness resonator formed by connecting the positive stiffness mechanism and the negative stiffness mechanism, its stiffness features are related to the involvement level of the negative stiffness mechanism which is quantified by the stiffness ratio.…”

Section: Quasi-zero-stiffness Mechanismsmentioning

confidence: 99%

“…One is to devise the mechanical structure to decrease the stiffness, and the other is to adjust the stiffness real-time. Introducing the negative stiffness mechanism [67,82] , decreasing the cross-section of the elastic material [56][57][83][84] , and adjusting the amount of compression [71][72]74,85] are the mechanical ways to change the resonator stiffness. Although these mechanical structures are in favor of obtaining band gap in the low-frequency range, these configurations are difficult to change once they were designed.…”

Section: Band Gap Tuning Based On Adjustable Stiffnessmentioning

confidence: 99%

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A brief review of metamaterials for opening low-frequency band gaps

Wang

Zhou

Tan

et al. 2022

Appl. Math. Mech.-Engl. Ed.

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Metamaterials are an emerging type of man-made material capable of obtaining some extraordinary properties that cannot be realized by naturally occurring materials. Due to tremendous application foregrounds in wave manipulations, metamaterials have gained more and more attraction. Especially, developing research interest of low-frequency vibration attenuation using metamaterials has emerged in the past decades. To better understand the fundamental principle of opening low-frequency (below 100 Hz) band gaps, a general view on the existing literature related to low-frequency band gaps is presented. In this review, some methods for fulfilling low-frequency band gaps are firstly categorized and detailed, and then several strategies for tuning the low-frequency band gaps are summarized. Finally, the potential applications of this type of metamaterial are briefly listed. This review is expected to provide some inspirations for realizing and tuning the low-frequency band gaps by means of summarizing the related literature.

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Section: Quasi-zero-stiffness Mechanismsmentioning

confidence: 99%

Section: Band Gap Tuning Based On Adjustable Stiffnessmentioning

confidence: 99%

A brief review of metamaterials for opening low-frequency band gaps

Wang

Zhou

Tan

et al. 2022

Appl. Math. Mech.-Engl. Ed.

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“…Past effort examined the mitigation of impact energy, including using plastic or viscous materials [3], bistable and multistable structures [4,5], quasi-zero stiffness systems [6][7][8][9], nonlinear energy sinks [10][11][12][13], layered or periodic composite structures [14,15], and negative effective mass structures [16] etc. artificial periodic composite structures that exhibit superior properties to control low-frequency waves [23][24][25][26]. Properties and applications of linear acoustic metamaterials (LAMs) have been extensively studied [27][28][29][30][31][32][33], in which AMs are introduced to mitigate impact vibrations [18,34].…”

Section: Introductionmentioning

confidence: 99%

Attenuation of impact waves in a nonlinear acoustic metamaterial beam

Fang

Cheng

et al. 2022

Preprint

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Wave propagation in nonlinear acoustic metamaterials (NAMs) has attracted broad attention. While showing the possibility of achieving low-frequency and broadband vibration suppression, most existing work focuses on harmonic waves. In this paper, we study the impact wave propagation and its mitigation in a nonlinear metamaterial beam. Thorough numerical analyses show that strongly nonlinear acoustic metamaterials can entail effective attenuation of impact waves in an infinite structure and the impact vibration in a finite structure with a much higher efficiency than what can be achieved in their linear counterparts. The attenuation properties, underlying mechanisms and the influence of key system parameters are clarified. Results show that the observed attenuation is dominated by the nonlinearity-induced self-broadening of the bandgaps whose bandwidths adaptively expand with the propagation distance/time, as a result of the amplitude-dependent nature of the band gaps in a NAM. In a finite NAM structure, significant attenuation of the impact vibration can be achieved, outperforming the corresponding linear cases. These findings shed lights on new physics relating to NAMs and might inspire their further study and application.

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“…A metamaterial terahertz biosensor, which has two resonant absorption frequencies, was represented by Li [18] for fast and label-free identification of early-stage cervical cancerous tissues. Seeking for the low-frequency band gap, metamaterials with different microstructure were designed and presented by Zhang [19] and Lin [20], respectively. In these works, it could be noted that the nonlinear factors were not taken into consideration.…”

Section: Introductionmentioning

confidence: 99%

Analytical Analysis of Nonlinear Internal Resonance Bandgap of Pendulum Type Metamaterial

Guo

Chen

Zhang

et al. 2021

Preprint

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In this paper, a pendulum type metamaterial (PTM) is designed with a pendulum bob hinged at the primary mass. The nonlinear dynamic model of PTM unit cell is presented with the aid of the Bloch theorem. The analytical formula of dispersion equation is deduced from the nonlinear model using the harmonic balance method. The obtained bandgap of the innovative metamaterial is in good agreement with the numerical result, thus validating the presented model. The nonlinear frequency band structure of PTM is investigated and compared with that obtained from linearized PTM model. It is found that the local resonant bandgap is tunable, and the nonlinear geometric influence of pendulum on PTM bandwidth is significant. The effects of 1:1, 1:1/2 and 1:1/3 internal resonance on the dispersion characteristics are analyzed with large swinging angle. The upper boundaries of the frequency bandgap under 1:1/2 and 1:1/3 internal resonance rise nonlinearly with the characteristic frequency of the secondary system to higher than those under linear and 1:1 internal resonance conditions. The mass coefficient gradually increases the width of PTM bandgap and PTM can possess a broader bandgap with optimized parameters.

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Numerical and Experimental Investigations on Tunable Low-frequency Locally Resonant Metamaterials

Cited by 26 publications

References 26 publications

A brief review of metamaterials for opening low-frequency band gaps

A brief review of metamaterials for opening low-frequency band gaps

Attenuation of impact waves in a nonlinear acoustic metamaterial beam

Analytical Analysis of Nonlinear Internal Resonance Bandgap of Pendulum Type Metamaterial

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