Buckling of FML cylindrical shell subjected to hydrostatic pressure with closed end and clamped-clamped boundary conditions

In this research, the buckling of fiber metal laminated (FML) hybrid cylindrical shell under hydrostatic pressure with clamped - clamped boundary conditions are studied. Fourier decomposition and Galerkin method are used In the presented analytical solution. In this method, the radial displacement and the axial displacement are approximated by the function of the first vibrational mode of the clamped-clamped beam and the third order derivative of the beam function, respectively. The ends of the cylinder are closed by rigid discs, and the axial displacement of these two discs causes the axial deformation in the cylindrical shell. Using the above method, the effects of the length to radius ratio on the buckling resistance of different composite cylinders are investigated. Also, in order to see the effect of the thickness of the cylinder on its buckling resistance, buckling behavior of cylinders with different thickness are investigated and it is shown that carbon/epoxy cylinders are more sensitive to thickness change than other composits. One of the other important issues discussed in this study is the effect of the amount of the used metal in the buckling resistance of FML hybrid cylinder. Also, it is shown that 〖[54/-54]〗_s is one of the best choices for producing the buckling resistant composite cylinders. In order to ensure the accuracy of the proposed method, the results of this method are compared with the results of finite element method. Using the proposed method, the critical pressure of the buckling of FML pipes with different mechanical properties and geometric dimensions under hydrostatic pressure can be analyzed, and it will be possible to design tubes with maximum buckling resistance.