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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Communication dans un congrès
ASME IDETC/CIE Conference, Aug 2014, Buffalo, United States. 2014, Proceedings of the ASME IDETC/CIE Conference. <10.1115/DETC2014-35382>
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Dernière modification le : mercredi 9 septembre 2015 - 08:40:04
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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, Proceedings of the ASME IDETC/CIE Conference. <10.1115/DETC2014-35382>. <hal-01195752>

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