In the paper the transversal vibration of a toothed gear is studied by means of numerical simulation methods. At first, we focus on preparing a simplified vibration model of a gear, where the teeth are omitted. The accuracy of the approximate model is assessed by the frequency error criterion. Therefore a benchmark solution is calculated by performing the vibration analysis for the full model, which contains all essential elements of the real system. Next, the simplified model of a gear featuring cyclic symmetry is analyzed. All numerical models in this paper are formulated in terms of finite element representations, the computations are carried out in ANSYS. The problems discussed here may be useful for researchers dealing with dynamics of rotating systems.
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