Vibration isolation using extreme geometric nonlinearity

Virgin, Lawrence N.; Santillan, Sophia T.; Plaut, Raymond H.

doi:10.1016/j.jsv.2007.12.025

Cited by 110 publications

(54 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Both research streams share common reported benefits (high structural damping and vibration isolation performance levels) however not the same challenges. With regard to the design of macroscopic NS elements, a variety of designs has been proposed for the realisation of such configurations, incorporating various structural elements such as post-buckled beams, plates, shells and precompressed springs, arranged in appropriate geometrical configurations [6][7][8][9][10][11]. Experimental validation of NS vibration isolation mechanisms with their designs based on Euler post-buckled beams have been presented in [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Enhanced acoustic insulation properties of composite metamaterials having embedded negative stiffness inclusions

Chronopoulos

Antoniadis

Ampatzidis

2017

Extreme Mechanics Letters

View full text Add to dashboard Cite

a b s t r a c tDespite the fact that the concept of incorporating Negative Stiffness (NS) elements within mechanical systems was formulated and validated more than 40 years ago, it has only recently received consistent attention. In this work, the design of a layered mechanical metamaterial having implemented NS inclusions is presented and its acoustic wave propagation properties are modelled. A dedicated twodimensional periodic structure theory scheme is developed in order to compute the frequency dependent damping loss factor of the metamaterial structure. The acoustic transmission properties through the modelled panel are computed within a Statistical Energy Analysis (SEA) scheme. It is demonstrated that the suggested layered metamaterial exhibits highly superior acoustic insulation performance close and above the acoustic coincidence range, thanks to the drastic increase of its structural damping properties implied by the NS elements. Additionally, the proposed configuration presents superior performance in a broadband frequency range when compared to a viscoelastic damping constraint layer of equivalent mass.

show abstract

Section: Introductionmentioning

confidence: 99%

Enhanced acoustic insulation properties of composite metamaterials having embedded negative stiffness inclusions

Chronopoulos

Antoniadis

Ampatzidis

2017

Extreme Mechanics Letters

View full text Add to dashboard Cite

show abstract

“…Similar problems of sound and vibration isolation gained much attention in the recent years (e.g. [1][2][3][4][5][6][7][8]). The approaches proposed for treating such problems may be divided in two groups: active control, when structural parameters are varied in time [3,[8][9][10][11][12], and passive control, when these parameters are changing only in space [2,5,7,[13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Vibration suppression for strings with distributed loading using spatial cross-section modulation

Sorokin

Thomsen

2015

Journal of Sound and Vibration

View full text Add to dashboard Cite

Document VersionPeer reviewed version Link back to DTU Orbit Citation (APA): Sorokin, V., & Thomsen, J. J. (2015). Vibration suppression for strings with distributed loading using spatial cross-section modulation. Journal of Sound and Vibration, 335, 66-77. DOI: 10.1016/j.jsv.2014.09.028 Vibration suppression for strings with distributed loading using spatial cross-section modulation Abstract A problem of vibration suppression in any preassigned region of a bounded structure subjected to action of an external time-periodic load which is distributed over its domain is considered. A passive control is applied, in that continuous spatially periodic modulations of structural parameters are used as a means for vibration suppression. As an example, stationary vibrations of a string under action of a distributed time-periodic load are studied. This system in a simplified form models such processes as interaction between membranes and colloids, oscillations of transmission lines under action of rain and wind, and dynamics of suspension bridges and stay cables. Suppression of vibration in predefined regions of the string is performed by continuous spatial modulation of its cross-section. For analyzing the problem considered a novel approach named the method of varying amplitudes is employed. This approach is applicable for solving differential equations without a small parameter, and may be considered as a natural continuation of the classical methods of harmonic balance and averaging. As a result, optimal parameters for the string cross-sectional area modulation are determined for the cases of harmonically, uniformly and arbitrarily distributed load, which allows for completely suppressing or considerably reducing vibration in the prescribed part of the string (compared to the case without modulation). vibration suppression; bounded structure; distributed loading; continuous spatially periodic modulation; the method of varying amplitudes.

show abstract

“…Virgin and Davis [4] present a prototype mount consisting of a buckled strut, and Plaut et al [5] present analysis of a similar mount albeit with fixed as opposed to pinned end conditions. Virgin et al [6] also propose a mechanism based on a strip bent into a tear-shaped loop. Further results for both these types of mount appear in Santillan's PhD thesis [7].…”

Section: Prior Work On Hslds Isolation Mountsmentioning

confidence: 99%

Relieving the effect of static load errors in nonlinear vibration isolation mounts through stiffness asymmetries

Shaw

Neild²,

Friswell

2015

Journal of Sound and Vibration

View full text Add to dashboard Cite

High Static Low Dynamic Stiffness (HSLDS) mounts consist of nonlinear springs that support a high static load with low static displacement, whilst maintaining locally low stiffness near equilibrium, to give a low natural frequency and consequently good isolation properties. Recent analysis has investigated such devices when the force-displacement relationship is an odd function about the equilibrium position, and analysed the consequences of different shapes of these functions. However many devices that have the HSLDS characteristic do not meet the assumptions of this analysis, in that the force-displacement relationship is generally asymmetric about equilibrium. Furthermore, even devices that do meet this assumption may be subject to significant adjustment error, particularly in the context of air vehicles where manoeuvres such as banked turns can cause an apparent variation in gravitational acceleration, and a consequent variation in the weight of the payload. This change in static load moves the payload away from its intended region of low stiffness. The current paper provides analysis of these situations, and shows that the performance of a mount with a symmetric stiffness-displacement relationship is highly sensitive to errors in the static loading. It is then shown that a mount with an asymmetric stiffnessdisplacement function can offer significant performance advantages when there are adjustment errors in the loading of the mount.

show abstract

Vibration isolation using extreme geometric nonlinearity

Cited by 110 publications

References 6 publications

Enhanced acoustic insulation properties of composite metamaterials having embedded negative stiffness inclusions

Enhanced acoustic insulation properties of composite metamaterials having embedded negative stiffness inclusions

Vibration suppression for strings with distributed loading using spatial cross-section modulation

Relieving the effect of static load errors in nonlinear vibration isolation mounts through stiffness asymmetries

Contact Info

Product

Resources

About