Analysis variations of volume fraction continuous functionally graded plates on the vibration of reinforced cylindrical shell under axial Loads with asymmetric boundary conditions

In this paper, Analysis variations of volume fraction continuous functionally graded materials on the vibration of reinforced cylindrical shell under axial loads with asymmetric boundary conditions are studied. The functionally graded plates shell is made in accordance to the volume fraction plates from two constituents namely stainless steel and nickel. These constituents are graded through the thickness direction, from one surface of the shell to the other and are controlled by volume fraction plates distribution. The reinforced functionally graded shell equations with axial loads are established based on first order shear deformation theory. The governing equations were employed with energy functional by applying Ritz method. The asymmetric boundary conditions represented by end conditions of the functionally graded shell are clamped-free, clamped-simply support and free-sliding. For validity and accuracy of the present methodology, the results obtained are compared with those available in the literature. Effects of volume fractional variations of functionally graded, axial loads, reinforced and asymmetric boundary condition on vibration of reinforced functionally graded cylindrical shell model are studied.