The behavior of bistable structures having two stable equilibrium state has been extensively explored in recent years. Bistability is a special property of asymmetric laminates where differential thermal expansion (due to asymmetry) leads to multiple stable states, in thin-walled un-symmetric composite laminates. In bistable systems, both stable states are located at their potential energy wells, where the shape transition can be triggered by overcoming the energy barrier between them. The switch between the stable states on actuation is known as the snap-through phenomenon, which is strongly nonlinear in nature. This has necessitated a detailed dynamical analysis of bistable laminates. The nonlinear behaviour of asymmetric [0n/90n] bistable laminates with free-free boundary conditions is investigated through simulations and experimental observations. A refined 17 degrees of freedom (dofs) analytical model is developed, fusing Raleigh Ritz with Hamilton’s principle to obtain the governing nonlinear equations of motion. A nonlinear finite element (FE) model is also developed using ABAQUS®. Experiments are conducted by clamping the midpoint of the plate with a shaker and then exciting it. The composite laminate shows many intricate dynamics, such as sub-harmonic and super-harmonic oscillations, intra-well oscillation (periodic and chaotic), and inter-well snap-through (periodic and chaotic snapthrough) prominently. The primary focus is to highlight the potential of bistable laminates by elucidating the existence of large-amplitude vibrations over a broad frequency range under different input and system parameters. Further, it has been observed that attached mass plays a significant role in modifying the response bandwidth for cross-well oscillation for a given excitation frequency and amplitude. Hence fine-tuning of masses can excite different nonlinear dynamic characteristics of the laminate, making it applicable in different engineering fields.