Dynamic stabilization of a bistable suspension system attached to a flexible host structure for operational safety enhancement

Yang, Kai; Harne, Ryan L.; Wang, K.W.

doi:10.1016/j.jsv.2014.07.033

Cited by 26 publications

(7 citation statements)

References 20 publications

(33 reference statements)

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“…When the mass is excited dynamically, it may enter three regimes of motion: (i) infinitesimal excitations result in linear elastic vibrations of infinitesimal amplitude about one of the two equilibrium ground states, (ii) moderate-amplitude excitations lead to weakly nonlinear motion with fluctuations about one of the energy minima, and (iii) large excitations cause strongly nonlinear motion and snapping between the two equilibria. Under sustained forced loading, a large-amplitude oscillatory motion can be observed [241,242], which has been exploited, e.g., for energy harvesting [243,244] and vibration control [245]. For a thorough survey of the dynamic stability of elastic systems, see also Ref.…”

Section: Multistability and Nonlinear Metamaterialsmentioning

confidence: 99%

Exploiting Microstructural Instabilities in Solids and Structures: From Metamaterials to Structural Transitions

Kochmann

Bertoldi

2017

Applied Mechanics Reviews

190

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Instabilities in solids and structures are ubiquitous across all length and time scales, and engineering design principles have commonly aimed at preventing instability. However, over the past two decades, engineering mechanics has undergone a paradigm shift, away from avoiding instability and toward taking advantage thereof. At the core of all instabilities-both at the microstructural scale in materials and at the macroscopic, structural level-lies a nonconvex potential energy landscape which is responsible, e.g., for phase transitions and domain switching, localization, pattern formation, or structural buckling and snapping. Deliberately driving a system close to, into, and beyond the unstable regime has been exploited to create new materials systems with superior, interesting, or extreme physical properties. Here, we review the state-of-the-art in utilizing mechanical instabilities in solids and structures at the microstructural level in order to control macroscopic (meta)material performance. After a brief theoretical review, we discuss examples of utilizing material instabilities (from phase transitions and ferroelectric switching to extreme composites) as well as examples of exploiting structural instabilities in acoustic and mechanical metamaterials.

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Section: Multistability and Nonlinear Metamaterialsmentioning

confidence: 99%

Exploiting Microstructural Instabilities in Solids and Structures: From Metamaterials to Structural Transitions

Kochmann

Bertoldi

2017

Applied Mechanics Reviews

190

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“…Furthermore, the low-frequency vibration is also suppressed, and the bandwidth can reach up to 150 Hz. In view of vibration isolation, low-natural-frequency isolators can achieve bandwidth isolation performance when the excitation frequency is bigger than 2ωn, such as nonlinear vibration isolators [56,57,58], quasi-zero isolators [59,60], etc. These nonlinear vibration isolators can achieve broadband vibration isolation performance with negative dynamic stiffness of nonlinear isolators; however, the vibration suppression in the resonance region is dependent on damping.…”

Section: Resultsmentioning

confidence: 99%

Piezoelectric Shunt Stiffness in Rhombic Piezoelectric Stack Transducer with Hybrid Negative-Impedance Shunts: Theoretical Modeling and Stability Analysis

Zheng

Zhao

et al. 2019

Sensors

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Negative-capacitance shunted piezoelectric polymer was investigated in depth due to its considerable damping effect. This paper discusses the novel controlled stiffness performance from a rhombic piezoelectric stack transducer with three hybrid negative-impedance shunts, namely, negative capacitance in series with resistance, negative capacitance in parallel with resistance, and negative inductance/negative capacitance (NINC) in series with resistance. An analytical framework for establishing the model of the coupled system is presented. Piezoelectric shunt stiffness (PSS) and piezoelectric shunt damping (PSD) are proposed to analyze the stiffness and damping performances of the hybrid shunts. Theoretical analysis proves that the PSS can produce both positive and negative stiffness by changing the negative capacitance and adjustable resistance. The Routh–Hurwitz criterion and the root locus method are utilized to judge the stability of the three hybrid shunts. The results point out that the negative capacitance should be selected carefully to sustain the stability and to achieve the negative stiffness effect of the transducer. Furthermore, negative capacitance in parallel with resistance has a considerably better stiffness bandwidth and damping performance than the other two shunts. This study demonstrates a novel electrically controlled stiffness method for vibration control engineering.

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“…Different from the traditional nonlinear vibration isolators, the bistable vibration structures possess a unique snap-through phenomenon [60] . Yang et al [61][62] discussed a bistable dual-stage isolator consisting of a bistable isolator and a linear oscillator. The bistable suspension avoids inducing the detrimental resonance adjacent to the roll-off frequency band that otherwise compromises the safety of a comparable linear suspension.…”

Section: Bistable Vibration Isolators With Electromagneticsmentioning

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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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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Dynamic stabilization of a bistable suspension system attached to a flexible host structure for operational safety enhancement

Cited by 26 publications

References 20 publications

Exploiting Microstructural Instabilities in Solids and Structures: From Metamaterials to Structural Transitions

Exploiting Microstructural Instabilities in Solids and Structures: From Metamaterials to Structural Transitions

Piezoelectric Shunt Stiffness in Rhombic Piezoelectric Stack Transducer with Hybrid Negative-Impedance Shunts: Theoretical Modeling and Stability Analysis

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

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