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

2014 
Plate bending is commonly used nowadays, such as water reservoirs, tanks, domes, concrete dams and etc . Therefore, appropriate methods should be used to analyze these structures. In some cases, however, these analytic al solutions are not always possible, and we have to search for numerical solut ions. The use of numerical approaches enables the e ngineer to expand his or her ability to solve design problems of practical s ignificance, 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 is in good accordance with those methods. At least, the efficiency is computat ional cost of the procedures compared with each oth er. The plate model is adopted for the structures. The material, plates of all models, is subject to Hooke's law and homogene ous. The structures are assumed to be simply supported at the ends. The stu dy is based on the numerical methods which are compared with the exact method. The nonlinear equations of stability are so lved with finite element and finite different metho ds and compared with each other.
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