Buckling analysis of columns with functionally graded materials

In this study, the buckling behavior of axially functionally graded columns has been investigated. Columns are modeled based on Euler-Bernoulli and Timoshenko beam theories in order to see the effect of shear deformation on the buckling load. Differential equations governing the buckling behavior are obtained in two different forms with the help of equilibrium equations. A program based on the Complementary Functions Method which was prepared with the Python language has been used in the solution of differential equations. The buckling loads obtained by the Complementary Functions Method have been compared with the results found in the literature and those of the Abaqus finite element software. The effects of material functions, boundary conditions, and section properties on the buckling load have been investigated. The efficiency of the numerical method applied in the calculation of the buckling load of columns with functionally graded materials in the axial direction is shown.