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Beams in piezoelectric materials often appear in sensors or actuators with small sizes, in situations where it is important to know their dynamic characteristics. A non-linear model for small scale beams in piezoelectric materials, where the small scale effects are taken into account via a modified couple stress theory, is presented in this communication. The goal of the analysis is to investigate the modes of vibration of small scale, as micro and nano, piezoelectric beams, chiefly in the non-linear regime. The formulation is based on a displacement field of the Euler-Bernoulli type, but the inertia of the cross section is kept in the equations of motion. The partial differential equations of motion and the boundary conditions are derived by Hamilton’s principle. Two methods are employed to solve the equations of motion. One is a perturbation method, specifically the method of multiple scales, the other is a numerical procedure, known as shooting method. The advantages and shortcomings of these methods in the problem at hand are discussed.