Analysis of Buckling Phenomenon under Different Loadings in Circular and Rectangular Plates

In this paper, buckling of the plates is investigated with different boundary conditions and alternating and axial compressive loadings by theoretical approach and numerical analysis with circular and rectangular closed sectional plates. In this research, governing differential equation will be used for thin plates under lateral and direct alternating loadings. Next, the mentioned equation would be solved with assumption of deflection functions by analytical method. Accordingly, the minimum critical buckling loads are determined by two approaches such as analytical and numerical methods. These analytical results are then validated by the numerical modeling. Interestingly, good agreements are found between the analytical and numerical predictions for the critical buckling loads.