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The eciency of the mechanical energy harvesting with the use of vibrating elements can be
improved by synchronizing stimulation vibrations and own linear frequencies of systems as well as super orsub harmonics induced by non-linear phenomena. The article presents numerical cross-sectional study of themechanical system. The system consists of an elastic beam set vertically, which the lower end is fixed in therotary support, and is stimulated to move in the horizontal axis. The upper end of the beam is free but below itslevel there are bumpers limiting the free rotation of the beam. Numerical studies took into account the variabilityof the frequency and amplitude of the excitation beam movement, and horizontal distance between bumpers.Beam deflection was observed, on the basis of which the amount of energy generated by the piezo element wasestimated. Nonlinear phenomena and analysis of frequency synchronization of vibrations improving the energyeect of an energy generator are presented.