Post-buckling analysis of porous circular plate with small initial deflection using first-order shear deformation theory
Subject Areas : Mechanics of Solids
M. M Mohieddin Ghomshei
1
,
Mahdi Alimohammadi
2
1 - Department of Mechanical Engineering,Faculty of Mechatronics,Karaj Branch,Islamic Azad University,Karaj,Iran
2 - Department of Mechanical Engineering, Faculty of Artificial Intelligence, Islamic Azad University, Karaj Branch, Karaj, Iran
Keywords: Porous circular plate, Small initial deflection, Differential quadrature method (DQM), Buckling and post-buckling, First-order shear deformation theory,
Abstract :
In this study, buckling and post-buckling analysis of circular porous plate with small initial deflection is investigated using the first-order shear deformation theory. Porosity is assumed variable in the thickness of the plate, and assumed to be symmetric with respect to the plate mid-plane. The first-order shear deformation theory and nonlinear von-Karman strain field has been used to derive the equilibrium equations in term of displacement field. The governing differential equations together with the boundary conditions are discretized by implementing the differential quadrature method (DQM). The set of nonlinear algebraic equations are then solved for displacement field components using an iterative method. The convergence of the numerical model is surveyed. Then the comparative and parametric studies are carried out. The results show that the present DQM model has fast convergence, and accurate results. Parametric studies are carried out. The porosity factor and initial deflection have significant influence on the plate deformation.
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