The biparametric perturbation method is applied to solve the improved Föppl–von Kármán equation, in which improvements of equations come from two different aspects: first aspect concerns materials, and other deformation. material considered this study has bimodular functionally graded properties comparison with traditional materials commonly used classical equations. At same time, consideration...

the current study presents a new analytical method for buckling analysis of rectangular and annular beams made up of functionally graded materials with constant thickness and poisson’s ratio. the boundary conditions of the beam are assumed to be simply supported and clamped. the stability equations were obtained by using conservation of energy. the critical buckling load and first mode shape we...