Nonlinear analysis buckling and postbuckling for axially compressed function ally grade cylindrical panels with the poisson's ratio varying smoothly along the thickness

Abstract

In this paper an approximale analytical solution to analyze the nonlinear buckling and postbuckling behavior of imperfect functionally graded panols with-the Poisson's ratio also varying smoothly along the thickness is investigated. Based on the classical shell theory and von Karman’s assumplion of kinemalic nonlinearily and applying Galerkio procedure, the equations for finding critical loads and load-denection curves of cylindrical panel subjected to axial compressive load with two types boundary conditions, are given. Especially, the stiffness coefficients are analyzed in explicit form. Numerical results show various effects of the inhomogeneous parameter, dimensional pa- rameter, boundary conditions on nonlinear stability of panel. An accuracy of present theoretical results is verified by the previous well-known results.