Bandgap characteristics and wave attenuation of metamaterials based on negative-stiffness dynamic vibration absorbers

Lin, Siqi; Zhang, Yongshan; Liang, Yingjing; Liu, Yijie; Liu, Chunming; Yang, Zhen

doi:10.1016/j.jsv.2021.116088

Cited by 50 publications

(14 citation statements)

References 42 publications

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“…In this section, the properties of the surface waves are investigated, with particular interest given to the dispersion relation of the waves. The dispersion relation can be normalized by multiplying equation (38) by 1=k 4 and making use of the definition of c, as well as b 1 given by equation (23). The following expression for wavespeed c is obtained:…”

Section: Resultsmentioning

confidence: 99%

“…Elastic metamaterials are new-age materials engineered to exhibit certain desired elastic properties which do not manifest in naturally occurring materials, including negative dynamic mass density [1], negative Poisson’s ratio [2], negative shear modulus [3,4], negative stiffness [5–7], or combinations of the aforementioned properties [8–11]. Elastic metamaterials have garnered great interest from the research community due to their potential applications in fields such as energy shielding [12,13], sound proofing [14–16], impact mitigation/shock absorption [17–20], and wave attenuation [21–23].…”

Section: Introductionmentioning

confidence: 99%

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Dispersive surface waves propagating through a continuous elastic medium with local rotation

Schiavone

Wang

2022

Mathematics and Mechanics of Solids

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Elastic metamaterials are man-made materials engineered with the purpose of inducing atypical bulk elastic properties. To model a type of elastic metamaterial with local rotational effects, a new two-dimensional continuum model which incorporates local rotation as a scalar field superposed on the translational displacement fields is utilized. This paper provides a comprehensive study of surface wave propagation in this new continuous medium. Unlike the classical Rayleigh wave, the surface wave in this new medium is dispersive. An explicit dispersion relation is obtained, and a closed-form solution of the dispersion curve is derived. The dispersion relation is then used to evaluate the general behaviour of the surface wave. It is found that even for the cases where the effect of local rotation is relatively weak, the surface wave still clearly shows dispersion. The phase velocity of the surface wave falls mostly between the classical Rayleigh wave and the shear wave, especially for cases where the effect of local rotation is weak. In addition to the classical Rayleigh wave, there exists another surface wave which possesses a wavespeed depending only on local rotational parameters. It was also found that particles residing on the free surface of the material move in an elliptical fashion similar to that of classical Rayleigh wave propagation.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dispersive surface waves propagating through a continuous elastic medium with local rotation

Schiavone

Wang

2022

Mathematics and Mechanics of Solids

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“…Consequently, the wave manipulation in the low-frequency range is challengeable for the LR metamaterial. In the ordinary way, the major approaches used to broaden the low-frequency bandwidth include devising multi-degreeof-freedom resonator [96][97][98][99][100][101] , introducing an inerter into the local resonator [102][103] , establishing coupling between different resonators [104][105][106][107][108] , devising the graded local resonator by varying the mass and/or the stiffness of the resonator regularly [83,[109][110] , and loading axial forces on the primary structure [111] . Although these efforts belong to passive approaches, they have achieved an improvement of broadening the bandwidth of the low-frequency band gap.…”

Section: Improvement Of Wave Suppression Performancementioning

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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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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“…[ 36 ] proposed a new 1D metamaterial model with both a negative effective moment of inertia and negative effective stiffness. Lin et al [ 37 ] proposed metamaterial which exhibits a quasi‐static bandgap and negative effective stiffness.…”

Section: Introductionmentioning

confidence: 99%

Multiple Re‐Entrant Star‐Shaped Honeycomb with Double Negative Parameters and Bandgap Properties

Liu

Ren

Liu

et al. 2022

Physica Status Solidi (b)

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Achieving bandgaps and double negative properties with single‐phase metamaterial in the low‐frequency range remains a challenge. Currently, acoustic metamaterials with double negative parameters are made of different materials, which can limit their application and design. Herein, a single‐phase multiple re‐entrant star‐shaped honeycomb (MRSSH) is designed and the double negative parameters and bandgaps are simulated. The numerical results show that the MRSSH exhibits three bandgaps and double negative characteristics (negative effective mass density and negative effective modulus) within a certain frequency range. The formation mechanics of bandgaps are investigated by analyzing the vibration modes. Moreover, the effects of geometry parameters such as internal concave angle and re‐entrant on the bandgaps and vibration modes of the MRSSH are investigated. By adjusting the geometry parameters, the dispersion curves and bandgap distribution can be tuned simultaneously. This study provides a new idea for designing a single‐phase lightweight metamaterial that can apply to noised reduction, vibration control, and super‐resolution imaging.

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Bandgap characteristics and wave attenuation of metamaterials based on negative-stiffness dynamic vibration absorbers

Cited by 50 publications

References 42 publications

Dispersive surface waves propagating through a continuous elastic medium with local rotation

Dispersive surface waves propagating through a continuous elastic medium with local rotation

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

Multiple Re‐Entrant Star‐Shaped Honeycomb with Double Negative Parameters and Bandgap Properties

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