Abstract

An explicit dynamical formulation of the gear meshing teeth using modified Timoshenko beam theory is presented in this paper. The acting position direction and magnitude of the external force is assumed time variant. The meshing tooth is modeled as a cantilever beam where the inertia forces due to the large rotation of the tooth base, as well as the external equivalent axial force and moment are all included in the equations of motion. Computer algorithms for gear dynamics based on the theory developed is presented. In the numerical simulations, the involute for the gear tooth profile is considered.

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