Influence of nonlinear stiffness on the dynamics of a slender elastic beam under torsional oscillations

Página do item simplificado
dc.contributor.authorSilveira, Marcos [UNESP]
dc.contributor.authorPontes, Bento R.
dc.contributor.authorBalthazar, José M.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2016-03-02T13:03:59Z
dc.date.available2016-03-02T13:03:59Z
dc.date.issued2014
dc.description.abstractThis study focuses on analysing the effects of nonlinear torsional stiffness on the dynam-ics of a slender elastic beam under torsional oscillations, which can be subject to helical buckling.The helical buckling of an elastic beam confined in a cylinder is relevant to many applications. Someexamples include oil drilling, medical cateters and even the conformation and functioning of DNAmolecules. A recent study showed that the formation of the helical configuration is a result of onlythe torsional load, confirming that there is a different path to helical buckling which is not related tothe sinusoidal buckling, stressing the importance of the geometrical behaviour of the beam. A lowdimensional model of an elastic beam under torsional oscillations is used to analyse its dynamical be-haviour with different stiffness characteristics, which are present before and after the helical buckling.Hardening and softening characteristics are present, as the effects of torsion and bending are coupled.With the use of numerical algorithms applied to nonlinear dynamics, such as bifurcation diagramsand basins of attraction, it is shown that the nonlinear stiffness can shift the bifurcations and inducechanges in the stability of the desirable and undesirable solutions. Therefore, the proper modellingof these stiffness nonlinearities seems to be important for a better understanding of the dynamicalbehaviour of such beams.en
dc.description.affiliationUniversidade Estadual Paulista Júlio de Mesquita Filho, Departamento de Engenharia Mecânica, Faculdade de Engenharia de Bauru, Bauru, Av. Eng. Luiz Edmundo Carrijo Coube, 14-01, Vargem Limpa, CEP 17033360, SP, Brasil
dc.description.affiliationUnespUniversidade Estadual Paulista Júlio de Mesquita Filho, Departamento de Engenharia Mecânica, Faculdade de Engenharia de Bauru, Bauru, Av. Eng. Luiz Edmundo Carrijo Coube, 14-01, Vargem Limpa, CEP 17033360, SP, Brasil
dc.format.extent159-169
dc.identifierhttp://dx.doi.org/10.4028/www.scientific.net/AMM.706.159
dc.identifier.citationApplied Mechanics and Materials, v. 706, p. 159-169, 2014.
dc.identifier.doi10.4028/www.scientific.net/AMM.706.159
dc.identifier.issn1662-7482
dc.identifier.lattes8286209184527011
dc.identifier.urihttp://hdl.handle.net/11449/135675
dc.language.isoeng
dc.relation.ispartofApplied Mechanics and Materials
dc.rights.accessRightsAcesso restrito
dc.sourceCurrículo Lattes
dc.subjectNonlinear stiffnessen
dc.subjectSlender beamsen
dc.subjectTorsional oscillationen
dc.titleInfluence of nonlinear stiffness on the dynamics of a slender elastic beam under torsional oscillationsen
dc.typeArtigo
unesp.author.lattes8286209184527011
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Engenharia, Baurupt
unesp.departmentEngenharia Mecânicapt

Arquivos

Coleções

Artigos - Engenharia Mecânica - FEB