Abstract
In this study, an analytical solution for the buckling of a composite cylindrical shell subjected to hydrostatic pressure is proposed. The boundary conditions of the composite cylindrical shell are cantilever-like, with one end fixed and the other end connected to a rigid disk. The differential equations are solved using the Galerkin method. The axial displacement of the shell is approximated by the first mode shape of the transverse vibration of the clamped sliding beam. The circumferential displacement and deflection are approximated by the first derivation of the beam function. Based on this solution, an analytical formula enabling prediction of the critical buckling pressure and buckling mode of composite orthotropic cylindrical shells is derived. A finite element analysis and external hydrostatic pressure test are conducted to verify the proposed approach. The efficiency and accuracy of the analytical solution in predicting the critical buckling pressure and buckling mode are demonstrated.
Highlights
Academic Editors: Composite materials have been widely used in civil, aeronautical and marine engineering fields due to their excellent mechanical properties, such as their high specific strength and stiffness [1]
The results of calculations of the critical buckling pressure and buckling mode for the composite cylindrical shells with cantilever-like boundary conditions subjected to hydrostatic pressure are discussed
An analytical solution for the buckling of a composite cylindrical shell subjected to hydrostatic pressure was derived using the Galerkin method
Summary
Academic Editors: Composite materials have been widely used in civil, aeronautical and marine engineering fields due to their excellent mechanical properties, such as their high specific strength and stiffness [1]. Lopatin derived analytical solutions for the critical buckling pressure of composite cylindrical shells subjected to external pressure. A cylindrical shell subjected to hydrostatic pressure was closed at both ends, which meant the deformation phenomenon was hard to observe This motivated the authors to propose effective methods to study the buckling behavior of cylindrical shells. To this end, a new kind of cantilever-like boundary condition is constructed for composite cylindrical shells under hydrostatic pressure in this work. An analytical solution for the buckling of composite cylindrical shells under hydrostatic pressure with one fixed end and one cantilever-like end is proposed. The efficiency and accuracy of the proposed approach are validated
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