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AuthorMirjavadi, Seyed Sajad
AuthorForsat, Masoud
AuthorBadnava, Salman
Available date2020-05-15T00:15:05Z
Publication Date2019
Publication NameBiomechanics and Modeling in Mechanobiology
ResourceScopus
ISSN16177959
URIhttp://dx.doi.org/10.1007/s10237-019-01265-8
URIhttp://hdl.handle.net/10576/14954
AbstractIn this research, nonlinear vibrations of a hyper-elastic tube accounting for large deflection and moderate rotation have been examined. The hyper-elastic tube is assumed to be surrounded by a nonlinear hardening elastic medium. Different types of hyper-elastic material models are presented and discussed including neo-Hookean, Mooney-Rivlin, Ishihara and Yeoh models. The efficacy of these models in nonlinear vibration modeling and analysis of hyper-elastic tubes has been examined. Modified von-Karman strain is used to consider both large deflection and moderate rotation. The governing equations are obtained based on strain energy function of above-mentioned hyper-elastic material models. The nonlinear governing equation of the tube contains cubic and quantic terms which is solved via extended Hamiltonian method leading to a closed form of nonlinear vibration frequency. The effect of hyper-elastic models and their material parameters on nonlinear vibrational frequency of tubes has been studied. 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
Languageen
PublisherSpringer
SubjectBioengineering material
Hamiltonian method
Hyper-elastic material
Moderate rotation
Nonlinear vibration
Yeoh model
TitleNonlinear modeling and dynamic analysis of bioengineering hyper-elastic tubes based on different material models
TypeArticle
dc.accessType Abstract Only


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