Deflection of Laminated Composite Plates Using Dynamic Relaxation Method by: Osama Mohammed Elmardi Suleiman

(osama mohammed elmardi suleiman khayal) #1

First – order orthotropic shear deformation equations for the
nonlinearly elastic bending response of rectangular 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 are
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.5-1-39-2-10-20170608.pdf (924.8% u)