Vibration of a Square Hyperelastic Plate Around Statically Pre-Loaded State

Abstract : Static deflection and free nonlinear vibrations of thin square plate made of biological material are investigated. The involved physical nonlinearity is described through Neo-Hookean, Mooney-Rivlin and Ogden hyperelastic laws; geometrical nonlinearity is modelled by Novozhilov nonlinear shell theory. The problem is solved by sequentially constructing the local models that describe the behavior of plate in the vicinity of a certain static configuration. These models are the systems of ordinary differential equations with quadratic and cubic nonlinear terms in displacement, which allows application of techniques used in analysis of thin-walled structures of physically linear materials. The comparison of static and dynamic results obtained with different material models is carried out.
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Contributeur : Mathias Legrand <>
Soumis le : mardi 8 septembre 2015 - 13:46:34
Dernière modification le : mercredi 31 octobre 2018 - 16:50:04
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Ivan Breslavsky, Mathias Legrand, Marco Amabili. Vibration of a Square Hyperelastic Plate Around Statically Pre-Loaded State. ASME IDETC/CIE Conference, Aug 2014, Buffalo, United States. 2014, 〈10.1115/DETC2014-35382〉. 〈hal-01195752〉



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