First-Order Formulation for Functionally Graded Stiffened Cylindrical Shells Under Axial Compression

The buckling analysis of stiffened cylindrical shells by rings and stringers made of functionallygraded materials subjected to axial compression loading is presented. it is assumed that thematerial properties vary as a power form of the thickness coordinate variable. the fundamentalrelations, the equilibrium and stability equations are derived using the first order sheardeformation theory. resulting equations are employed to obtain the critical buckling loads. theeffects of the material properties and geometry of shell on the critical buckling loads areexamined. excellent agreement with the results in the literature indicates the correctness of theproposed closed form solution.