Some important advantages of composite materials such as their high weight to strength ratio, was the cause of their prevalent use in many industrial cases in past decades. Bi-stable composite structures are special kinds of composite structures that their ability to maintain in their stable configurations without any source of energy has made them suitable for morphing structures. A great amount of research were carried out that focused on the thermal and static behavior of these special plates. The main goal of the present study is the dynamic response and energy harvesting of [0/90] bi-stable composite plates with piezoelectric patches. Therefore, a specially-written MATLAB code based on the Rayleigh-Ritz technique and minimizing the potential energy is developed to compute statically stable states of the plate. Afterwards, the electromechanical equations for a bi-stable composite plate with piezoelectric patches, short circuit and open circuit natural frequencies, optimal electric resistance, and dynamic time responses of the plate to different harmonic base accelerations were computed using Rayleigh-Ritz model in conjunction with Hamilton’s principle. The results were in agreement with the results obtained by finite element simulations in ANSYS software. To eliminate the errors in the results from Rayleigh-Ritz method compared with the finite element method, a biquadratic shape function for the out-of-plane displacement field is proposed. This shape function considers a variable curvature for the plate in the directions x and y in contrast with Hyer proposed function in which the curvatures are considered to be constant. The effect of such a function is evaluated in the static and dynamic behaviors of the plate. The assumption of variable curvatures in the mentioned directions for calculating the stable states, the optimal electric resistance, and short circuit and open circuit frequencies is more appropriate and more consistent with the results obtained from the finite element method. Furthermore, the concept of energy harvesting from vibrations of bi-stable composite plates undergoing different base accelerations is investigated analytically, experimentally, and by simulating the problem in ANSYS software. The results revealed that these plates have more ability in producing electric power and wider bandwidth in comparison with conventional linear plates because of having non-linear behavior and their snap-through between stable states. Keywords : Bi-stable composite plates, Piezoelectric patches, Hamilton’s principle, dynamic response, electromechanical equations, Energy harvesting