Non-linear response of Fiber Metal Laminates subjected to temperature and dynamic loadings

Fiber metal laminates (FMLs) are hybrid structures composed of composite lightweight layers and aluminum layers that have high impact resistance and energy absorption along with low weight. In this study, by using of governing equation of non-linear behavior of FMLs, the effect of various parameter such as temperature and dynamic loading have been investigated. For this purpose, the geometric nonlinearity effects are taken into account with the von Kármán large deflection theory and the governing equations of motion for the plate are derived by the use of the virtual work principle. The simply supported boundary conditions are considered for all edges of the plate. Then, Nonlinear Partial differential Equations (PDEs) of motion by using of the Galerkin method are transformed to a single nonlinear Ordinary Differential Equation (ODE), which is solved analytically by the multiple time scales method, and an analytical relation is found for the nonlinear frequency of these plates. The results of conducted theoretical analyses compared with the presented results in the literature and good agreement is found. By using the validated theoretical model, the influences of changes in temperature change, elastic foundation and peak pressure values are investigated. The results indicated that increasing the peak pressure values would lead to an increase in deformation and a decrease in the frequency ratio of the system. The results also show that FMLs would be a good choice for structures under dynamic loads.