POST-BUCKLING ANALYSIS OF FGM BEAM SUBJECTED TO NON-CONSERVATIVE FORCES

Based on the large deformation theory of extensible elastic rod, nonlinear governing differential equations of removable simply supported functionally graded material (FGM) rod subjected to a uniformly distributed tangential follower force along the central axis are established. By using shooting method, the post-buckling behaviors of FGM rod made of metal and ceramic are analyzed. The post-buckling characteristics curves of FGM rod under the different graded index are plotted, and compared with the properties of metal and ceramic material rods. The influence of the length-to-height ratio of rectangular cross-section on the post-buckling behaviors of FGM rod is discussed.