Design and numerical validation of quasi-zero-stiffness metamaterials for very low-frequency band gaps

Cai, Changqi; Zhou, Jiaxi; Wu, Linchao; Wang, Kai; Xu, Daolin; Ouyang, Huajiang

doi:10.1016/j.compstruct.2020.111862

Cited by 166 publications

(43 citation statements)

References 29 publications

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“…Here, the force corresponding to the plateau is named as QZS payload. Currently, the vast majority of QZS isolators are generally achieved by connecting a negative stiffness element (usually realized through oblique springs, [ 5,6 ] buckled beams, [ 7,8 ] magnet rings, [ 9 ] etc.) with a positive stiffness element in parallel, which makes the isolator complicated, and not compact enough to implement applications in small scale.…”

Section: Introductionmentioning

confidence: 99%

Tailored Mechanical Metamaterials with Programmable Quasi‐Zero‐Stiffness Features for Full‐Band Vibration Isolation

Zhang

Guo

2021

Adv Funct Materials

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Quasi‐zero‐stiffness (QZS) isolators of high‐static‐low‐dynamic stiffness play an important role in ultra‐low frequency vibration mitigation. While the current designs of QZS mainly exploit the combination of negative‐stiffness corrector and positive‐stiffness element, and only have a single QZS working range, here a class of tailored mechanical metamaterials with programmable QZS features is proposed. These programmed structures contain curved beams with geometries that are specifically designed to enable the prescribed QZS characteristics. When these metamaterials are compressed, the curved beams reach the prescribed QZS working range in sequence, thus enabling tailored stair‐stepping force‐displacement curves with multiple QZS working ranges. Compression tests demonstrate that a vast design space is achieved to program the QZS features of the metamaterials. Further vibration tests confirm the ultra‐low frequency vibration isolation capability of the proposed mechanical metamaterials. The mechanism of QZS stems solely from the structural geometry of the curved beams and is therefore materials‐independent. This design strategy opens a new avenue for innovating compact and scalable QZS isolators with multiple working ranges.

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Section: Introductionmentioning

confidence: 99%

Tailored Mechanical Metamaterials with Programmable Quasi‐Zero‐Stiffness Features for Full‐Band Vibration Isolation

Zhang

Guo

2021

Adv Funct Materials

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“…As reported in Fig. 5(f), folded beams and buckled beams are connected directly, which avoids the contact friction [70] .…”

Section: Quasi-zero-stiffness Mechanismsmentioning

confidence: 91%

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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“…In recent years, the emerging metamaterials based on local resonators provide new ways to deal with low-frequency vibration and noise issues [1][2][3][4][5][6]. Metamaterials present sub-wavelength bandgaps (at frequencies much lower than the first Bragg bandgap), within which wave propagation is prohibited.…”

Section: Introductionmentioning

confidence: 99%

Broadening low-frequency bandgaps in locally resonant piezoelectric metamaterials by negative capacitance

Collet

2021

Journal of Sound and Vibration

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This paper combines negative capacitance (NC) with inductance (L) to enlarge lowfrequency bandgap width in locally resonant piezoelectric metamaterials. The studied metamaterials are obtained by directly bonding patches on the surfaces of host structures, then connecting patches to shunts. Shunts with NC and L in series and in parallel are both studied. Analytical expressions of the bandgap ranges are derived, which reveal that the bandgap size is increased not simply because the NC enhancing the material's electro-mechanical coupling factor, but in a more complicated way. Parametric studies are performed to analytically investigate the tuning properties of the LR bandgap by NC.Results demonstrate that by modifying NC value, the LR bandgap size can be significantly increased. Numerical simulations are done to verify the effects of the broadened bandgap on vibration transmission and reveal the limitations of the used analytical model. Practical implementation of the shunts are also discussed, recommendations on choosing the shunt configurations and NC values are given. This paper gives a theoretical guideline on designing piezoelectric metamaterials with bandgap effects at desired frequency ranges for practical applications like low-frequency vibration and noise reduction or isolation.

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Design and numerical validation of quasi-zero-stiffness metamaterials for very low-frequency band gaps

Cited by 166 publications

References 29 publications

Tailored Mechanical Metamaterials with Programmable Quasi‐Zero‐Stiffness Features for Full‐Band Vibration Isolation

Tailored Mechanical Metamaterials with Programmable Quasi‐Zero‐Stiffness Features for Full‐Band Vibration Isolation

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

Broadening low-frequency bandgaps in locally resonant piezoelectric metamaterials by negative capacitance

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