| Title |
A Study on the Higher-Order Nonlinear Analysis of Orthotropic Elastic Plate |
| Abstract |
In this paper, a Higher-Order Shear Deformation Plate Theory for the analysis of orthotropic plate is presented. Transverse shear strain free boundary condition at the top and bottom surfaces of plate and geometrically nonlinear terms of displacement are used for the derivation of governing equation. This Higher-Order Shear Deformation Plate Theory contains the same dependent unknowns as in the HENCKY-MINDLIN type First order Shear Deformation Theory, although in-plane displacements are assumed as cubic variation.The equation of motion is derived by HAMILTON's principle and is formulated for the analysis of static bending and free or forced vibration of simply supported orthotropic plate. The numerical results are compared with the exact solution of 3-D elastic theory and clasical theory. For comparison of exactitude of transverse shear and normal stress obtained by this theory, these stress formuli are derived from CAUCHY's equilibrium equation. |