The Comparison of Finite Element and Finite Difference Methods in Buckling Analysis of Plate Bending

Plate bending is commonly used nowadays, such as water reservoirs, tanks, domes, concrete dams and etc. Therefore, appropriate methods should be used to analyze thesestructures. In some cases, however, these analytical solutions are not always possible, and we have to search for numerical solutions. The use of numerical approaches enables the engineer to expand his or her ability to solve design problems of practical significance, The governing equation of thin plate based on classical plate theory (CPT) along with finite element method (FEM) and finite difference method (FDM) are used to solve the equations . The model in ANSYS get buckling local of the plate; besides, to validate the procedures and verify whether it isin good accordance with those methods. At least, the efficiency is computational cost of the procedures compared with each other. The plate model is adopted for the structures. The material, plates ofall models, is subject to Hooke’s law and homogeneous. The structures are assumed to be simply supported at the ends. The study is based on the numerical methods which are compared with the exact method. The nonlinear equations of stability are solved with finite element and finite different methods and compared with each other.