Bidirectional deep-subwavelength band gap induced by negative stiffness

Wang, Kai; Zhou, Jiaxi; Cai, Changqi; Xu, Daolin; Xia, Shuyan; Wen, Guilin

doi:10.1016/j.jsv.2021.116474

Cited by 21 publications

(6 citation statements)

References 38 publications

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“…Then, the harvested energy can serve as an alterable source to power up low energy consumption sensors in the Internet of Things [3] . (V) QZS metamaterials Recently, Wang et al [8,90] have introduced a negative stiffness mechanism into a traditional linear resonator to form an HSLDS resonator to create a low-frequency band gap, which has been proven to be effective for the design of novel metamaterials. Therefore, one should consider the low-frequency metamaterials with electromagnetic mechanisms and the corresponding energy harvesting aspect [91] .…”

Section: Discussionmentioning

confidence: 99%

“…Then, after 16 years of studies, Ibrahim [6] comprehensively reviewed the advances in nonlinear passive vibration isolators, which was a pioneering work and accelerated the development of nonlinear vibration isolation. Carrella et al [7] used one vertical spring and two oblique springs to construct a QZS isolator, where the vertical spring provided the positive stiffness to maintain the stability of both the static and dynamic states, and the two oblique springs provided the negative stiffness to decrease the dynamic stiffness [8] . Figure 1 presents the elastic restoring force comparison between the linear and QZS vibration isolators.…”

Section: Introductionmentioning

confidence: 99%

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A state-of-the-art review on low-frequency nonlinear vibration isolation with electromagnetic mechanisms

Yan

Chen

2022

Appl. Math. Mech.-Engl. Ed.

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Vibration isolation is one of the most efficient approaches to protecting host structures from harmful vibrations, especially in aerospace, mechanical, and architectural engineering, etc. Traditional linear vibration isolation is hard to meet the requirements of the loading capacity and isolation band simultaneously, which limits further engineering application, especially in the low-frequency range. In recent twenty years, the nonlinear vibration isolation technology has been widely investigated to broaden the vibration isolation band by exploiting beneficial nonlinearities. One of the most widely studied objects is the “three-spring” configured quasi-zero-stiffness (QZS) vibration isolator, which can realize the negative stiffness and high-static-low-dynamic stiffness (HSLDS) characteristics. The nonlinear vibration isolation with QZS can overcome the drawbacks of the linear one to achieve a better broadband vibration isolation performance. Due to the characteristics of fast response, strong stroke, nonlinearities, easy control, and low-cost, the nonlinear vibration with electromagnetic mechanisms has attracted attention. In this review, we focus on the basic theory, design methodology, nonlinear damping mechanism, and active control of electromagnetic QZS vibration isolators. Furthermore, we provide perspectives for further studies with electromagnetic devices to realize high-efficiency vibration isolation.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A state-of-the-art review on low-frequency nonlinear vibration isolation with electromagnetic mechanisms

Yan

Chen

2022

Appl. Math. Mech.-Engl. Ed.

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“…5(j), where the shadows denote the band gap range. It is evident from the figure that with the decrease in the stiffness ratio, the location of the band gap shifts from a high frequency range to a low-frequency one owing to the decline of the resonant frequency [69] . That is, in theory, the metamaterial with quasi-zero-stiffness resonators is capable of obtaining a quasi-static band gap at a very low-frequency range.…”

Section: Quasi-zero-stiffness Mechanismsmentioning

confidence: 95%

“…Here, it should be pointed out that the negative stiffness mechanism is the critical component of the quasi-zero-stiffness resonator. Other than the oblique spring mechanism, there are other configurations which are capable of forming a negative stiffness mechanism as well, for instance, the X-shaped mechanism [67] , the magnetic ring [68] , the cam-roller mechanism [22] , and the hemisphere-roller mechanism [69] . Connecting the negative stiffness mechanism by the positive stiffness element, such as the linear spring and the rubber ring, a variety of quasizero-stiffness resonators have been devised.…”

Section: Quasi-zero-stiffness Mechanismsmentioning

confidence: 99%

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

Wang

Zhou

Tan

et al. 2022

Appl. Math. Mech.-Engl. Ed.

Self Cite

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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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“…The force transmissibility for different parameters has been deduced based on the harmonic balance method, and it was verified by experiments that the QZS vibration isolators can outperform the traditional linear vibration isolator, especially in low frequency. Based on that, Zhou has expanded these QZS structures to realize multidirectional vibration isolation, such as the six-degree-of-freedom platform [21], the bidirectional deep-subwavelength resonator [22]. At the same time, introducing the electromagnetic mechanisms [23] and bi-stable control structures [24] to the QZS isolators can adjust the range of stiffness [25] or be designed as semi-active systems [26].…”

Section: Introductionmentioning

confidence: 99%

Theoretical design on the characteristics of a hexagon quasi- zero stiffness vibration isolator

Zhou

2022

Preprint

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A novel hexagon quasi-zero stiffness (QZS) platform using link-spring mechanism is proposed with load adjustable to seek for low-frequency vibration isolation. First, the key static characteristics, such as the elastic potential energy, restoring force and effective stiffness are obtained by mechanical modeling for different configurations of the platform. It indicates that the proposed structure could achieve dynamic zero stiffness for different designed loading capacity, even a full band vibration isolation. Then, the nonlinear properties of inertia, stiffness and damping are systematically studied and it is proven to be beneficial for dynamic stabilization and vibration isolation. An analytical expression for the effective stiffness is derived to obtain parameter condition for QZS characteristic. Finally, the displacement transmissibility of the structure is solved by the harmonic balance method. The results demonstrate that the hexagon QZS vibration isolator has low and tunable frequency for vibration isolation and outperforms the linear isolators. Comparing to the classical QZS vibration isolator, the proposed one has a wider zero stiffness plateau and the starting frequency of vibration isolation can be as low as 1/4 that of the classical one. Consequently, the hexagon QZS isolator should be a feasible design for vibration isolation in ultralow frequency range.

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Bidirectional deep-subwavelength band gap induced by negative stiffness

Cited by 21 publications

References 38 publications

A state-of-the-art review on low-frequency nonlinear vibration isolation with electromagnetic mechanisms

A state-of-the-art review on low-frequency nonlinear vibration isolation with electromagnetic mechanisms

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

Theoretical design on the characteristics of a hexagon quasi- zero stiffness vibration isolator

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