Mechanical buckling of a functionally graded cylindrical shell with axial and circumferential stiffeners using the third-order shear deformation theory

Abstract

This paper deals with an analytical approach of the buckling behavior of a functionally graded circular cylindrical shell under axial pressure with external axial and circumferential stiffeners. The shell properties are assumed to vary continuously through the thickness direction. Fundamental relations and equilibrium and stability equations are derived using the third-order shear deformation theory. The resulting equations are employed to obtain the closed-form solution for the critical buckling loads. A simply supported boundary condition is considered for both edges of the shell. The comparison of the results of this study with those in the literature validates the present analysis. The effects of material composition (volume fraction exponent), of the number of stiffeners and of shell geometry parameters on the characteristics of the critical buckling load are described. The analytical results are compared and validated using the finite-element method. The results show that the inhomogeneity parameter, the geometry of the shell and the number of stiffeners considerably affect the critical buckling loads.

Static and buckling analyses of stiffened plate/shell structures using the quadrilateral element SQ4C

“…Finally, an isotropic stiffened cylindrical shell is studied in this section as shown in Figure 15 Table 4. It can be seen that the critical buckling loads by the SQ4C are in good agreement with the results by Almroth and Brush [53] and Farahani et al [47].…”

“…If stiffeners are used to increase the structural stiffness, it can be understood as the enhancement of buckling resistance and the reduction of structural deflection. Next, we mention the types of elements for plate/shell mesh as used in [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49] with different strategies to analyse structures based on finite element procedures. In this study, a novel four-node quadrilateral element, namely SQ4C, is presented by using the strain smoothing technique and then combined with a strategy that reduces the effects of both shear locking and membrane locking.…”

Nonlinear dynamic response and vibration of imperfect eccentrically stiffened sandwich third-order shear deformable FGM cylindrical panels in thermal environments

“…Farahani et al. [29] dealt with an analytical approach of the buckling behavior of an FGM circular cylindrical shell under axial pressure with external axial and circumferential stiffeners. Shen et al.…”