Nonlinear axisymmetric vibrations of a hyperelastic orthotropic cylinder

Aranda Iglesias, Francisco Damián; Rodríguez-Martínez, José A.; Rubin, M. B.

Publication:
Nonlinear axisymmetric vibrations of a hyperelastic orthotropic cylinder

dc.affiliation.dpto	UC3M. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras	es
dc.affiliation.grupoinv	UC3M. Grupo de Investigación: Nonlinear Solid Mechanics	es
dc.contributor.author	Aranda Iglesias, Francisco Damián
dc.contributor.author	Rodríguez-Martínez, José A.
dc.contributor.author	Rubin, M. B.
dc.contributor.funder	Ministerio de Economía y Competitividad (España)	es
dc.date.accessioned	2020-01-14T12:19:18Z
dc.date.available	2020-03-31T23:00:04Z
dc.date.issued	2018-03-01
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.	en
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.	en
dc.description.status	Publicado	es
dc.format.extent	12
dc.identifier.bibliographicCitation	International Journal of Non-Linear Mechanics, vol. 99, (March 2018), pp. 131-143	en
dc.identifier.doi	https://doi.org/10.1016/j.ijnonlinmec.2017.11.007
dc.identifier.issn	0020-7462
dc.identifier.publicationfirstpage	131
dc.identifier.publicationlastpage	143
dc.identifier.publicationtitle	International Journal of Non-Linear Mechanics	en
dc.identifier.publicationvolume	99	es
dc.identifier.uri	https://hdl.handle.net/10016/29452
dc.identifier.uxxi	AR/0000021060
dc.language.iso	eng	en
dc.publisher	Elsevier	es
dc.relation.projectID	Gobierno de España. EUIN2015-62556	es
dc.relation.projectID	Gobierno de España. DPI2014-57989-P	es
dc.rights	© 2017 Elsevier Ltd. All rights reserved.	en
dc.rights	Atribución-NoComercial-SinDerivadas 3.0 España	*
dc.rights.accessRights	open access	en
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/	*
dc.subject.eciencia	Ingeniería Mecánica	en
dc.subject.other	Nonlinear elasticity	en
dc.subject.other	Anisotropy	en
dc.subject.other	Large-amplitude vibrations	en
dc.subject.other	Cosserat membrane	en
dc.subject.other	Chaotic motion	en
dc.title	Nonlinear axisymmetric vibrations of a hyperelastic orthotropic cylinder	en
dc.type	research article	*
dc.type.hasVersion	AM	*
dspace.entity.type	Publication