Mechanical stability of functionally graded stiffened cylindrical shells

Abstract

This paper is concerned with the elastic buckling of stiffened cylindrical shells by rings and stringers made of functionally graded materials subjected to axial compression loading. The shell properties are assumed to vary continuously through the thickness direction. Fundamental relations, the equilibrium and stability equations are derived using the Sander's assumption. Resulting equations are employed to obtain the closed-form solution for the critical buckling loads. The results show that the inhomogeneity parameter and geometry of shell significantly affect the critical buckling loads. The analytical results are compared and validated using the finite element method.

Semi-analytical approach for analyzing the nonlinear dynamic torsional buckling of stiffened functionally graded material circular cylindrical shells surrounded by an elastic medium

“…r y r y E σ ε = Using the smeared stiffeners technique and omitting the twist of stiffeners because these torsion constants are smaller more than the moments of inertia [29] and integrating the stress-strain equations and their moments through the thickness of the shell, we have the expressions for force and moment resultants of an ES-FGM cylindrical shell [23,29] …”

“…Further, assume that the shell is reinforced by closely spaced FGM rings and stringers attached to inside of the shell. Young's modulus and mass density are assumed to vary continuously as power law form of the thickness direction [23,27] z h E E E h As can be seen that, from Eqs. (1a,b)-(3a,b), a continuity between the shell and stiffeners is satisfied Regarding the von Karman-Donnell shell theory, the nonlinear straindisplacement relations are given by [29,32] …”

Buckling analysis of stringer-stiffened laminated cylindrical shells with nonuniform eccentricity

“…Lene et al [19] presented an advanced methodology for optimum buckling design of a stiffened cylindrical shell under various loadings. Najafizadeh et al [20] investigated the buckling analysis of functionally graded cylindrical shells stiffened by rings and stringers under axial compression.…”

Nonlinear Analysis on Buckling and Postbuckling of Stiffened FGM Imperfect Cylindrical Shells Filled Inside by Elastic Foundations in Thermal Environment Using TSDT

“…For stiffened FGM shells, Najafizadeh et al (2009) with FGM stiffener system, investigated the mechanical buckling behavior of functionally graded stiffened cylindrical shells reinforced by rings and stringer subjected to axial compressive loading based on stability equations given in terms of displacement. The stiffeners and skin, in their work, are assumed to be made of functionally graded materials and its properties vary continuously through the thickness direction.…”