An attempt is made in the current research to obtain the fundamental buckling torque and the associated buckled shape of an annular plate. The plate is subjected to a torque on its outer edge. An isotropic homogeneous plate is considered. The governing equations of the plate in polar coordinates are established with the aid of the Mindlin plate theory. Deformations and stresses of the plate prior to buckling are determined using the axisymmetric flatness conditions. Small perturbations are then applied to construct the linearised stability equations which govern the onset of buckling. To solve the highly coupled equations in terms of displacements and rotations, periodic auxiliary functions and the generalised differential quadrature method are applied. The coupled linear algebraic equations are a set of homogeneous equations dealing with the buckling state of the plate subjected to a unique torque. Benchmark results are given in tabular presentations for combinations of free, simply-supported, and clamped types of boundary conditions. It is shown that the critical buckling torque and its associated shape highly depend upon the combination of boundary conditions, radius ratio, and the thickness ratio.

JO - Archive of Mechanical Engineering L1 - http://journals.pan.pl/Content/112050/PDF/AME_2019_128445.pdf L2 - http://journals.pan.pl/Content/112050 IS - No 2 EP - 227 KW - annular plate KW - torque KW - generalized differential quadrature KW - asymmetric buckling KW - trigonometric expansion ER - A1 - Bagheri, Hamed A1 - Kiani, Yaser A1 - Eslami, Mohammad Reza PB - Polish Academy of Sciences, Committee on Machine Building VL - vol. 66 JF - Archive of Mechanical Engineering SP - 209 T1 - Buckling of moderately thick annular plates subjected to torque UR - http://journals.pan.pl/dlibra/docmetadata?id=112050 DOI - 10.24425/ame.2019.128445