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    Nonlinear modeling and dynamic analysis of bioengineering hyper-elastic tubes based on different material models

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    Date
    2019
    Author
    Mirjavadi, Seyed Sajad
    Forsat, Masoud
    Badnava, Salman
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    Abstract
    In 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.
    DOI/handle
    http://dx.doi.org/10.1007/s10237-019-01265-8
    http://hdl.handle.net/10576/14954
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    • Electrical Engineering [‎2823‎ items ]
    • Mechanical & Industrial Engineering [‎1472‎ items ]

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