MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS
This paper presents the buckling analysis of functionally graded (FG) beams. To solve diff erential buckling equations of diff erent FG sections the Rayleigh-Ritz method is used. The FG material is supposed to vary continuously over the beam depth according to power low. A set of analytical evaluation is run in order to calculate critical buckling loads in dependents of material power low index. The accuracy of method is confirmed comparing the results with the finite element ones.