Analysis of Bending and Buckling of Circular Porous Plate Using First-Order Shear Deformation Theory

Document Type: Persian

Authors

1 MSc Student, Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Isfahan, Ir

2 Assistant Prof., Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Isfahan, Iran.

Abstract

Porous materials are lightweight, flexible and resistant to hairline cracks, so today with the development of technology porous structure produced for use in various industries. This structure widely use in beams, plates and shells. The purpose of this paper is to investigate the effect of porosity in axial symmetry in bending and buckling load sheet for analysis. For this purpose, a circular plate with simply supported edges under uniform radial pressure and vertical pressure distribution is investigated. Mechanical properties of porous sheet are isotropic and variable in thickness direction is considered. Right movement is extended in accordance with the first order shear deformation theory. Then, using the principle of virtual work and applying the calculus of variations, differential equations, and equations for bending sheet stability are achieved, continue using these equations and Galerkin method, bending and buckling of the sheet is calculated. Buckling load is calculated for all types of porosity can be observed with increasing porosity, critical buckling load decreases. Buckling load is calculated for all types of porosity can be observed with increasing porosity, critical buckling load decreases. The distribution of bending stress and deflection analysis sheet was obtained. To verify the results of bending and buckling of the sheet, the results were compared with homogeneous sheet with classical theory.

Keywords


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