Force and displacement transmissibility of a nonlinear isolator with high-static-low-dynamic-stiffness

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dc.contributor.authorCarrella, A.
dc.contributor.authorBrennan, M. J. [UNESP]
dc.contributor.authorWaters, T. P.
dc.contributor.authorLopes, V. [UNESP]
dc.contributor.institutionUniv Bristol
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Southampton
dc.date.accessioned2014-05-20T13:29:27Z
dc.date.available2014-05-20T13:29:27Z
dc.date.issued2012-02-01
dc.description.abstractEngineers often face the challenge of reducing the level of vibrations experienced by a given payload or those transmitted to the support structure to which a vibrating source is attached. In order to increase the range over which vibrations are isolated, soft mounts are often used in practice. The drawback of this approach is the static displacement may be too large for reasons of available space for example. Ideally, a vibration isolator should have a high-static stiffness, to withstand static loads without too large a displacement, and at the same time, a low dynamic stiffness so that the natural frequency of the system is as low as possible which will result in an increased isolation region. These two effects are mutually exclusive in linear isolators but can be overcome if properly configured nonlinear isolators are used. This paper is concerned with the characterisation of such a nonlinear isolator comprising three springs, two of which are configured to reduce the dynamic stiffness of the isolator. The dynamic behaviour of the isolator supporting a lumped mass is investigated using force and displacement transmissibility, which are derived by modelling the dynamic system as a single-degree-of-freedom system. This results in the system dynamics being approximately described by the Duffing equation. For a linear isolator, the dynamics of the system are the same regardless if the source of the excitation is a harmonic force acting on the payload (force transmissibility) or a harmonic motion of the base (displacement transmissibility) on which the payload is mounted. In this paper these two expressions are compared for the nonlinear isolator and it is shown that they differ. A particular feature of the displacement transmissibility is that the response is unbounded at the nonlinear resonance frequency unless the damping in the isolator is greater than some threshold value, which is not the case for force transmissibility. An explanation for this is offered in the paper. (C) 2011 Elsevier Ltd. All rights reserved.en
dc.description.affiliationUniv Bristol, BLADE, Queens Sch Engn, Bristol BS8 1TR, Avon, England
dc.description.affiliationUniv Estadual Paulista UNESP Ilha Solteira, Dept Mech Engn, Ilha Solteira, Brazil
dc.description.affiliationUniv Southampton, Inst Sound & Vibrat Res, Southampton S017 1BJ, Hants, England
dc.description.affiliationUnespUniv Estadual Paulista UNESP Ilha Solteira, Dept Mech Engn, Ilha Solteira, Brazil
dc.format.extent22-29
dc.identifierhttp://dx.doi.org/10.1016/j.ijmecsci.2011.11.012
dc.identifier.citationInternational Journal of Mechanical Sciences. Oxford: Pergamon-Elsevier B.V. Ltd, v. 55, n. 1, p. 22-29, 2012.
dc.identifier.doi10.1016/j.ijmecsci.2011.11.012
dc.identifier.issn0020-7403
dc.identifier.lattes3283762683761655
dc.identifier.urihttp://hdl.handle.net/11449/9940
dc.identifier.wosWOS:000302516600003
dc.language.isoeng
dc.publisherPergamon-Elsevier B.V. Ltd
dc.relation.ispartofInternational Journal of Mechanical Sciences
dc.relation.ispartofjcr3.570
dc.relation.ispartofsjr1,595
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectVibration isolationen
dc.subjectNonlinear stiffnessen
dc.subjectDuffing equationen
dc.subjectNonlinear transmissibilityen
dc.subjectHSDLSen
dc.titleForce and displacement transmissibility of a nonlinear isolator with high-static-low-dynamic-stiffnessen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderPergamon-Elsevier B.V. Ltd
unesp.author.lattes3283762683761655
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Engenharia, Ilha Solteirapt

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