Investigation of Transient Nonlinear Response of Fiber Metal Laminates (FML’s) under Uniform Time-dependent Pressure Loading

Fiber Metal Laminates (FML’s) are being used in many applications ranging from aircraft, submarines and ships to pressure vessels and automotive parts. In this study, the theoretical and numerical analysis of fiber metal laminates (FML’s) subjected to time-dependent uniform pressure load have been investigated. For this purpose, the plate is modeled based on the Reddy’s higher order shear deformation plate theory and the effects of the von Kármán geometric nonlinearity are included in the derivation of the motion equations. The FML is assumed to rest on the Pasternak foundation and simply supported boundary conditions are considered for all edges of the plate. Then, Nonlinear Partial differential Equations (PDEs) of motion are separated by using of the Galerkin method and finally solved using the Runge Kutta method. The results of conducted theoretical analyses compared with the presented results in the literature and good agreement is found. Also, in order to investigate the effective parameters, the effect of aspect ratio, Pasternak foundation and type of pressure pulses on the dynamic response of the plate have been examined. According to the obtained results, by reducing the positive phase time of loading and increasing the waveform parameter, the effect of the negative phase of loading is amplified and leads to an increase in dimensionless displacement in the center of the plate. Also, it was realized that the linear stiffness parameter in comparison with the shear layer parameter has less effect on the dynamic response.