Physically and geometrically non-linear vibrations of thin rectangular plates
نویسندگان
چکیده
منابع مشابه
Physically and Geometrically Non-linear Vibrations of Thin Rectangular Plates
Static deflection as well as free and forced large-amplitude vibrations of thin rectangular rubber plates under uniformly distributed pressure are investigated. Both physical, through a neo-Hookean constitutive law to describe the non-linear elastic deformation of the material, and geometrical non-linearities are accounted for. The deflections of a thin initially flat plate are described by the...
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چکیده ندارد.
15 صفحه اولNonlinear vibrations of thin hyperelastic plates
Static deflection as well as free and forced nonlinear vibration of thin square plates made of hyperelastic materials are investigated. Two types of materials, namely rubber and soft biological tissues, are considered. The involved physical nonlinearities are described through the Neo-Hookean, Mooney-Rivlin, and Ogden hyperelastic laws; geometrical nonlinearities are modeled by the Novozhilov n...
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A new two-eigenfunctions theory, using the amplitude deflection and the generalized curvature as two fundamental eigenfunctions, is proposed for the free vibration solutions of a rectangular Mindlin plate. The three classical eigenvalue differential equations of a Mindlin plate are reformulated to arrive at two new eigenvalue differential equations for the proposed theory. The closed form eigen...
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ژورنال
عنوان ژورنال: International Journal of Non-Linear Mechanics
سال: 2014
ISSN: 0020-7462
DOI: 10.1016/j.ijnonlinmec.2013.08.009