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In this paper, static and dynamic behavior of bi-stable composite laminates with $$[0-90]_{T}$$ stacking sequence and piezoelectric layers is studied. The governing equations of system were obtained using Rayleigh-Ritz method and Hamilton's principle. In order to improve the accuracy of results, a set of higher-order shape functions were employed. The dynamic response of the system under various electrical fields applied to the piezoelectric actuators was studied, and the effects of the presented shape functions on short-circuit natural frequency and the lowest electrical field required for snap-through were analyzed. The results obtained from the developed analysis have been compared with the conventional and FEM models. Good correlation was observed between the proposed model and the finite element method. [ABSTRACT FROM AUTHOR]