Analysis and investigation of the effect of the Lay-up of layers and angles of fibers on the vibration behavior of FML cylindrical shells of on Pasternak elastic foundation with different boundary conditions

This article examines the effect of layer arrangement and fiber angles on the vibration behavior of cylindrical shell (FML) in GLARE and ARALL samples and on Pasternak elastic bed with different boundary conditions using 3D elasticity theory (composite/metal volume ratio is fixed in taken). The governing equations are obtained using the potential energy minimization principle. In order to ensure the accuracy and convergence of the results of this study, the numerical solution was done using the Finite Element Method (FEM). The results show that the layering has a great influence on the vibration behavior of the FML cylindrical shell. The results are in good agreement with other literature. The use of three-dimensional elasticity theory along with the analysis of different samples for the vibrations of reinforced FML shells, which is presented for the first time in this research, is one of the most important innovations of the current research, and these results can be used as a suitable criterion for analyzing and optimizing FML shells. It can be used with any number of metal and composite layers, any fiber placement angle and under any boundary conditions.