Nonlinear axisymmetric vibrations of a hyperelastic orthotropic cylinder

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Show simple item record Aranda Iglesias, Francisco Damián Rodríguez-Martínez, José A. Rubin, M. B. 2020-01-14T12:19:18Z 2020-03-31T23:00:04Z 2018-03-01
dc.identifier.bibliographicCitation International Journal of Non-Linear Mechanics, vol. 99, (March 2018), pp. 131-143
dc.identifier.issn 0020-7462
dc.description.abstract In this paper we investigate the large-amplitude axisymmetric free vibrations of an incompressible nonlinear elastic cylindrical structure. The material behavior is described as orthotropic and hyperelastic using the physically-based invariants proposed by Rubin and Jabareen (2007, 2010). The cylinder is modeled using the theory of a generalized Cosserat membrane, which allows for finite deformations that include displacements along the longitudinal axis of the structure. The bi-dimensional approach represents a significant contribution with respect to most works published in this field, which approach the problem at hand assuming plane strain conditions along the axis of the cylinder. We have carried out a systematic analysis of the parameters that govern the dynamic behavior of the structure, paying specific attention to those describing the orthotropy of the material and the dimensions of the cylinder. Using Poincare maps, we have shown that the motion of the structure can turn from periodic to quasi-periodic and chaotic as a function of the initial conditions, the elastic and kinetic energy supplied to the specimen, the dimensions of the cylinder and the degree of mechanical orthotropy of the material.
dc.description.sponsorship The authors thank Professor Gottlieb from Technion - Israel Institute of Technology - for his thorough and insightful discussion on the results of this article. DAI and JARM are indebted to the Ministerio de Economíaa y Competitividad de España (Projects EUIN2015-62556 and DPI2014-57989-P) for the financial support which permitted to conduct this work. This research was also partially supported by MB Rubin's Gerard Swope Chair in Mechanics. MB Rubin would also like to acknowledge being graciously hosted by University Carlos III of Madrid during part of his sabbatical leave from Technion.
dc.format.extent 12
dc.language.iso eng
dc.publisher Elsevier
dc.rights © 2017 Elsevier Ltd. All rights reserved.
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.subject.other Nonlinear elasticity
dc.subject.other Anisotropy
dc.subject.other Large-amplitude vibrations
dc.subject.other Cosserat membrane
dc.subject.other Chaotic motion
dc.title Nonlinear axisymmetric vibrations of a hyperelastic orthotropic cylinder
dc.type article
dc.description.status Publicado
dc.subject.eciencia Ingeniería Mecánica
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. EUIN2015-62556
dc.relation.projectID Gobierno de España. DPI2014-57989-P
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 131
dc.identifier.publicationlastpage 143
dc.identifier.publicationtitle International Journal of Non-Linear Mechanics
dc.identifier.publicationvolume 99
dc.identifier.uxxi AR/0000021060
dc.contributor.funder Ministerio de Economía y Competitividad (España)
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