<p>Fiber metal laminates find widespread applications in various industries, including aerospace, marine, automotive, and pressure vessel manufacturing. This study focuses on analytically investigating the behavior of fiber-metal-laminate exposed to time dependent pressure loading. To achieve this, the laminates are modeled using Reddy’s higher-order shear deformation theory, incorporating von Karman’s geometric nonlinear effects in derivation of equations of motion. The laminates are supposed to be situated on a Pasternak substrate, with boundary conditions set as simple supports along all plate edges. The motion equations, characterized by nonlinear partial derivatives, are discretized using Galerkin technique and subsequently resolved via Runge–Kutta technique. The obtained results are compared with those from previous studies, demonstrating favorable agreement. Furthermore, the study explores the influence of several key parameters, including aspect ratio, Pasternak substrate characteristics, loading duration, and pressure pulse type, on vibration response of laminates. The findings indicate that reducing the duration of the positive loading phase while increasing the wave function amplifies the impact of the negative loading phase, leading to increase dimensionless displacement at the plate center. Additionally, it is observed that the shear layer constraint has a more pronounced influence on the time response compared to the linear stiffness parameter.</p>