ALTEKİN M. (Yürütücü), Köme A.
Yükseköğretim Kurumları Destekli Proje, 2021 - 2022
Axisymmetric bending response of shear deformable circular plates under the action of uniform transverse pressure is investigated numerically. Isotropic, transversely isotropic, and orthotropic plates are studied in this computational study. It is assumed that the plate is resting on a four-parameter elastic foundation. The problem involves nonlinearity which arises from the nonlinear Winkler-type elastic foundation. The formulation is based on the first order shear deformation theory (FSDT). Cylindrical coordinate system is used in the analysis. A large number of numerical simulations are performed to study the effects of various parameters on the maximum deflection of circular plates. The solution is obtained by means of differential transform method (DTM), and finite difference method (FDM). Among several numerical solution methods such as FDM, differential quadrature method (DQM), and finite element method (FEM), DTM has been one of the recently developed numerical techniques in the solution of boundary value problems (BVPs), and initial value problems (IVPs). DTM provides a series expansion, and therefore, the accuracy of the results depends highly on the number of terms considered in the solution. The accuracy of the results obtained in the current study is validated through comparison study. The results reveal that the material properties have dominant effect on the bending behaviour of circular plates, and the influence of the elastic foundation should be rigorously examined.