Moderately Large Deflection of Laminated Thin Rectangular Plates

Abstract

Studies are made on the elastic behaviour of laminated rectangular thin plates under uniform distributed transverse load with moderately large deflection. The effects of foundation parameters, the material parameters, edge conditions, and the aspect ratio of the plate are examined. In all the cases considered, the nonlinear load parameter increases with the maximum deflection‐to‐thickness ratio. The influence of in‐plane boundary conditions (movable and immovable edges) on the large deflections is significant. The nonlinear load parameter for any specified maximum deflection increases with the elastic foundation parameters.

A semi-analytical model for deflection analysis of laminated plates with the Newton-Kantorovich-Quadrature method

“…A comprehensive summary of the solutions for the geometrically non-linear analysis of isotropic and composite laminated plates was recently given by Khandan et al 2 . The common analytical nonlinear theories for laminated composites such as classical laminated plate theory [3][4][5][6][7][8][9] and first shear deformation plate theory [9][10][11] generally use the Rayleigh-Ritz method 12 or the Galerkin method [13][14][15] . The accuracy of these analytical models depends on the trial functions which they choose and they have to satisfy at least the kinematic boundary conditions.…”