DYNAMIC RELAXATION COUPLED WITH FINITE DIFFERENCES IN LARGE DEFLECTION OF LAMINATED DECKS PLATES USING FIRST ORDER SHEAR DEFORMATION THEORY

First – order orthotropic shear deformation equations for the
nonlinear elastic bending response of rectangular decks plates are introduced.
Their solution using a computer program based on finite differences
implementation of the Dynamic Relaxation (DR) method is outlined. The
convergence and accuracy of the DR solutions for elastic large deflection
response of isotropic, orthotropic, and laminated plates are established by
comparison with various exact and approximate solutions. The present Dynamic
Relaxation method (DR) coupled with finite differences method shows a fairly
good agreement with other analytical and numerical methods used in the
verification scheme.
It was found that: The convergence and accuracy of the DR solution is
dependent on several factors including boundary conditions, mesh size and
type, fictitious densities, damping coefficients, time increment and applied load.
Also, the DR large deflection program using uniform finite differences meshes
can be employed in the analysis of different thicknesses for isotropic,
orthotropic or laminated plates under uniform loads. All the comparison results
for simply supported (SS4) edge conditions showed that deflection is almost
dependent on the direction of the applied load or the arrangement of the layers.
KEYWORDS:IJBE-7-3-2019_Elmardi_33_48.pdf (388.0% u)

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