An investigation of a two-stage nonlinear vibration isolation system

Lu, Ze-Qi; Brennan, M.J.; Yang, Tiejun; Li, Xinhui; Liu, Zhigang

doi:10.1016/j.jsv.2012.11.019

Cited by 106 publications

(43 citation statements)

References 6 publications

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“…That is, the transmissibility at which vibration isolation occurs reduces at a maximum rate of 40 dB/decade. This problem can be overcome by the two-stage nonlinear vibration isolation [22]. In this case, the maximum roll-off rate of the transmissibility doubled.…”

Section: Introductionmentioning

confidence: 99%

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Power Flow in a Two-Stage Nonlinear Vibration Isolation System with High-Static-Low-Dynamic Stiffness

Shao

Ding

2018

Shock and Vibration

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The manuscript concerns the power flow characterization in a two-stage nonlinear vibration isolator comprising three springs, which are configured so that each stage of the system has a high-static-low-dynamic stiffness. To demonstrate the distinction of evaluation for vibration isolation using power flow, force transmissibility is used for comparison. The dynamic behavior of the isolator subject to harmonic excitation, however, is of interest here. The harmonic balance method (HBM) could be used to analyze the frequency response curve (FRC) of the strong nonlinear vibration system. A suggested stability analysis to distinguish the stable and the unstable HBM solutions is described. Increasing both upper and lower nonlinear stiffness could bend the first resonant peak to the left. The isolation range in the power and the force transmissibility plot could be extended to the lower frequencies when the nonlinear stiffness is increased, but the rate of roll-off for the power transmissibility is twice the rate for the force transmissibility at each horizontal stiffness setting. An explanation for this phenomenon is given in the paper.

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Section: Introductionmentioning

confidence: 99%

“…In this case, the maximum roll-off rate of the transmissibility doubled. Lu et al [22,23] investigated a twostage nonlinear isolator to promote the HSLDS mechanism. HSLDS in each stage has a profound positive effect on isolation performance.…”

Section: Introductionmentioning

confidence: 99%

Power Flow in a Two-Stage Nonlinear Vibration Isolation System with High-Static-Low-Dynamic Stiffness

Shao

Ding

2018

Shock and Vibration

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“…Ibrahim [4] reviewed various nonlinear isolators and showed that certain design factors and configurations may provide for improved performance over linear counterparts. The nonlinear mechanism, having a negative linear stiffness (NLS), is widely applied to achieve high static yet low dynamic stiffness for wider vibration isolation bandwidth and greater static load supporting capability [3,[5][6][7][8][9][10]. Many realizations of NLS mechanisms yield both negative linear and positive nonlinear stiffnesses, examples of which are reviewed in the following.…”

Section: Introductionmentioning

confidence: 99%

“…No investigations of NLS mechanism configurations that deliberately exploit EIS for vibration isolation have yet been reported, although experimentally validated design guidelines for obtaining EIS were recently developed [14] and are applicable to this research. However, instead of evaluating NLS mechanism utilization for single-stage vibration isolation, which is comparable to the prior investigations of EIS, this study is motivated by the observations of Lu et al [10] in assessing dual-stage nonlinear isolator capabilities. It was demonstrated that a dual-stage isolator with nonlinear and linear stages having positive stiffnesses can realize more rapid roll-off rates at high frequencies than a single-stage isolator, which significantly improves isolation performance [10].…”

Section: Introductionmentioning

confidence: 99%

“…However, instead of evaluating NLS mechanism utilization for single-stage vibration isolation, which is comparable to the prior investigations of EIS, this study is motivated by the observations of Lu et al [10] in assessing dual-stage nonlinear isolator capabilities. It was demonstrated that a dual-stage isolator with nonlinear and linear stages having positive stiffnesses can realize more rapid roll-off rates at high frequencies than a single-stage isolator, which significantly improves isolation performance [10].…”

Section: Introductionmentioning

confidence: 99%

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Investigation of a bistable dual-stage vibration isolator under harmonic excitation

Yang¹,

Harne²,

Wang³

2014

Smart Mater. Struct.

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This study explores the steady-state performance of a dual-stage vibration isolator, which is configured by a bistable oscillator and a linear oscillator. The potential force of the bistable stage comprises negative linear and positive cubic nonlinear stiffnesses such that the two restoring force contributions may counterbalance to minimize dynamic force transmission. By applying a first-order harmonic balance, it is predicted that the bistable dual-stage isolator may significantly outperform an equivalent pure linear dual-stage isolator. This conclusion is verified through a series of numerical investigations. Following a parametric study, design guidelines are detailed to achieve performance improvements. Then, the 'valley' response, which is the special phenomenon of the bistable dual-stage isolator due to the counterbalance of the negative linear and positive nonlinear potential forces, is revealed and quantitatively explained. Numerical studies demonstrate the role of initial conditions, and it is shown that the likelihood of beneficial single periodic valley and intra-well responses for isolation purposes can be increased by greater bistable stage damping. Finally, a bistable dual-stage isolator prototype is developed and tested, and the numerical and experimental results verify the theoretical predictions.

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Vibration Control

2017

Harnessing Bistable Structural Dynamics

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An investigation of a two-stage nonlinear vibration isolation system

Cited by 106 publications

References 6 publications

Power Flow in a Two-Stage Nonlinear Vibration Isolation System with High-Static-Low-Dynamic Stiffness

Power Flow in a Two-Stage Nonlinear Vibration Isolation System with High-Static-Low-Dynamic Stiffness

Investigation of a bistable dual-stage vibration isolator under harmonic excitation

Vibration Control

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