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2 Journal of Theoretical and Applied Mechanics

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Three-dimensional thermal buckling analysis of functionally graded cylindrical panels using differential quadrature method (DQM)

Ahmadi S. A., Pourshahsavari H.

Journal of Theoretical and Applied Mechanics

2016

Vol. 54 nr 1

135--147

Thermal buckling analysis of functionally graded cylindrical panels subjected to various conditions is discussed in this paper. Buckling governing equations are solved using the differential quadrature method. It is assumed that the mechanical properties of the panel are graded through thickness according to a power function of the thickness variable. The panel is assumed to be under the action of three types of thermal loading including uniform temperature rise and variable temperature rise in the axial and radial direction. In the present study, the effects of power law index, panel angle, different thermal load conditions and geometric parameters on the buckling behavior of functionally graded curved panels are studied. The results obtained through the present method are compared to the finite element solutions and the reported results in the literature. A desirable compatibility is concluded.

Buckling of imperfect thick cylindrical shells and curved panels with different boundary conditions under external pressure

Alashti R. A., Ahmadi S. A.

Journal of Theoretical and Applied Mechanics

2014

Vol. 52 nr 1

25--36

In this paper, the effects of initial imperfections on the buckling behavior of thick cylindrical shells and curved panels are investigated. It is assumed that the shell has an axisymmetric and periodic initial imperfection in the axial direction. The shell is assumed to have different boundary conditions and subjected to pure external pressure loading. Governing differential equations are developed on the basis of the second Piola-Kirchhoff stress tensor and are re- duced to a homogenous linear system of equations using the differential quadrature method. The effects of different boundary conditions, geometric ratios, curvature and imperfection parameter on the buckling behavior of isotropic thick cylindrical shells and curved panels are carefully discussed. The results obtained by the present method are verified with finite element solutions and those reported in the literature.