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Axisymmetric Buckling of Cylindrical Shells with Nonuniform Thickness and Initial Imperfection
Farid Mahboubi Nasrekani,Hamidreza Eipakchi 한국강구조학회 2019 International Journal of Steel Structures Vol.19 No.2
In this article, the axial buckling load of an axisymmetric cylindrical shell with nonuniform thickness is determined analytically with the initial imperfection by using the fi rst order shear deformation theory. The imperfection is considered as an axisymmetric continuous radial displacement. The strain–displacement relations are defi ned using the nonlinear von-Karman formulas. The constitutive equations obey Hook e ’s law. The equilibrium equations are nonlinear ordinary diff erential equations with variable coeffi cients. The stability equations are determined from them. The stability equations are a system of coupled linear ordinary diff erential equations with variable coeffi cients. The results are compared with the fi nite element method and some other references.
Hamidreza Eipakchi,Farid Mahboubi Nasrekani 국제구조공학회 2022 Steel and Composite Structures, An International J Vol.43 No.2
In this article, an analytical procedure is presented for static analysis of composite cylinders with the geometrically nonlinear behavior, and non-uniform thickness profiles under different loading conditions by considering moderately large deformation. The composite cylinder includes two inner and outer isotropic layers and one honeycomb core layer with adjustable Poisson’s ratio. The Mirsky-Herman theory in conjunction with the von-Karman nonlinear theory is employed to extract the governing equations which are a system of nonlinear differential equations with variable coefficients. The governing equations are solved analytically using the matched asymptotic expansion (MAE) method of the perturbation technique and the effects of moderately large deformations are studied. The presented method obtains the results with fast convergence and high accuracy even in the regions near the boundaries. Highlights: • An analytical procedure based on the matched asymptotic expansion method is proposed for the static nonlinear analysis of composite cylindrical shells with a honeycomb core layer and non-uniform thickness. • The effect of moderately large deformation has been considered in the kinematic relations by assuming the nonlinear von Karman theory. • By conducting a parametric study, the effect of the honeycomb structure on the results is studied. • By adjusting the Poisson ratio, the effect of auxetic behavior on the nonlinear results is investigated.