The advantage of linear viscoelastic material behavior in passive damper design-with application in broad-banded resonance dampers for industrial high-precision motion stages

Verbaan, Cornelis A.M.; Peters, Gwm Gerrit; Steinbuch, M Maarten

doi:10.1016/j.jsv.2016.05.031

Cited by 9 publications

(4 citation statements)

References 24 publications

(23 reference statements)

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“…We recognize at the outset that we omit soft solids. Soft solids can be useful, for example, for vibration dampening (Verbaan et al 2017), mimicking vocal fold tissues (Zeitels et al 2011), strain-stiffening elastomers for mimicking tissues (Dobrynin & Carrillo 2011), or enhanced magnetorheological elastomers based on elastic strain stiffening (Chaudhary et al 2020), but these applications are beyond our scope.…”

Section: Useful Rheological Complexitymentioning

confidence: 99%

Designing Complex Fluids

Ewoldt

2022

Annu. Rev. Fluid Mech.

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Taking a small step away from Newtonian fluid behavior creates an explosion in the range of possibilities. Non-Newtonian fluid properties can achieve diverse flow objectives, but the complexity introduces challenges. We survey useful rheological complexity along with organizing principles and design methods as we consider the following questions: How can non-Newtonian properties be useful? What properties are needed? How can we get those properties? Expected final online publication date for the Annual Review of Fluid Mechanics, Volume 54 is January 2022. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.

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Section: Useful Rheological Complexitymentioning

confidence: 99%

Designing Complex Fluids

Ewoldt

2022

Annu. Rev. Fluid Mech.

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“…Chen et al (2019) investigated experimentally and numerically to demonstrate the excellent energy dissipation capacity, high deformation capacity, and stable mechanical properties of highly damped viscoelastic dampers. Thereafter, many further studies have also been published on the topic of viscoelastic materials for vibration control, for example, see Muresan et al (2016); Verbaan et al (2017); and Dai et al (2020) and its cited references. The emergence of viscoelastic materials has led to further development of structural vibration damping.…”

Section: Introductionmentioning

confidence: 99%

Random vibration analysis of nonlinear structure with viscoelastic nonlinear energy sink

Chen

Qian

2023

Journal of Vibration and Control

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Most engineering structures serve in complex and harsh dynamic environments and suffer from nonlinear vibrations generated by random excitations such as strong winds and waves, which need to be mitigated. To this end, a novel viscoelastic nonlinear energy sink (VNES) device is proposed for the vibration control of structures, whereby the random vibration of a nonlinear oscillator with a VNES device is analyzed in this paper. Specifically, the mathematical model of the structure-VNES is formulated. An approximate technique for the treatment of viscoelastic damping element modeled by the fractional derivative is developed, whereby an equivalent nonlinear system without fractional derivative is derived. The averaged Itô equations associated with the amplitude envelopes are then obtained by resorting to the stochastic averaging method. The closed-form solution of the stationary response is solved from the Fokker–Planck–Kolmogorov (FPK) equation and verified by the Monte Carlo simulation (MCS) data simultaneously. The effects of system parameters and noise intensity on the stationary response are sequentially examined. By comparing the VNES system to the case without attachment and one equipped with the commonly used tuned mass damper (TMD) device, the performance and robustness of the VNES are highlighted. The conclusions of this work may contribute to the efficacy of the application of the VNES in practice.

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“…(2015) studied the dynamic performance of the structure with fractional TMD, and numerical results showed that the damper with the viscoelastic link can well reduce the structural dynamic response. Verbaan et al. (2017) studied the advantage of linear VEM behavior in TMD control for industrial high-precision motion stages, and found that the increase of the storage modulus as the function of loading frequency is beneficial to the control effectiveness in different resonance frequencies.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of viscoelastic tuned mass damper system under harmonic excitation

Dai

Gai

2019

Journal of Vibration and Control

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The purpose of this paper is to investigate the contribution of viscoelastic material (VEM) to the control performance of the viscoelastic tuned mass damper (VTMD). Firstly, the equivalent fractional derivation Kelvin model is used to describe the frequency dependence of viscoelasticity in VTMD, and an index is proposed to characterize the level of frequency dependence. Then the effects of the high loss factor of VEM and frequency dependence of viscoelasticity on the effectiveness and robustness of VTMD control are analyzed by numerical examples. At last, a design strategy for VTMD is proposed to select the type of VEM and optimize its stiffness contribution. The results show that the frequency dependence of shear storage modulus of VEM is beneficial to further reduce the dynamic response of the primary structure equipped with VTMD, and the loss factor of VEM determines the optimum frequency ratio and control effect of VTMD. Compared to the conventional tuned mass damper, VTMD has a better robustness for the positive error of the natural frequency of VTMD but has a worse robustness for the negative error. The frequency dependence of shear storage modulus of VEM is beneficial to the robustness of VTMD for both the positive and negative errors of the natural frequency of the primary structure. The VEM with a strong frequency dependence of shear storage modulus is the ideal VEM for VTMD, and the proposed design strategy can deal with the trade-off between the control effectiveness and control robustness of VTMD.

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The advantage of linear viscoelastic material behavior in passive damper design-with application in broad-banded resonance dampers for industrial high-precision motion stages

Cited by 9 publications

References 24 publications

Designing Complex Fluids

Designing Complex Fluids

Random vibration analysis of nonlinear structure with viscoelastic nonlinear energy sink

Dynamic analysis of viscoelastic tuned mass damper system under harmonic excitation

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