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Moderately large flexural vibrations of sandwich plates with thick layers
Author(s) -
Adam Christoph
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310325
Subject(s) - isotropy , vibration , nonlinear system , boundary value problem , shear (geology) , materials science , stiffness , structural engineering , plate theory , displacement (psychology) , composite number , homogeneous , mathematical analysis , geometry , composite material , mathematics , physics , engineering , acoustics , optics , psychology , quantum mechanics , combinatorics , psychotherapist
In this paper moderately large amplitude vibrations of a polygonally shaped composite plate with thick layers are analyzed. Three homogeneous and isotropic layers with a common Poisson's ratio are perfectly bonded, and their arbitrary thickness and material properties are symmetrically disposed about the middle plane. Mindlin‐Reissner kinematic assumptions are implemented layerwise, and as such model both the global and local response. Geometric nonlinear effects arising from longitudinally constrained supports are taken into account by Berger's approximation of nonlinear strain‐displacement relations. The shear stress continuity across the interfaces is prescribed according to Hooke's law, and subsequently, a correspondence of this higher order problem to the simpler case of a homogenized shear‐deformable nonlinear plate with effective stiffness and hard hinged boundary conditions is found.