Influence of rotational speed and transmitted torque on tooth profile separation in fine-module gear transmissions

The paper considers the vibration process of a fine-module gear transmission operating in the tooth profile separation mode. The main groups of factors determining the vibration behavior are analyzed: excitation sources (manufacturing and assembly errors, kinematic eccentricity, shaft rotation irregularity, wear) and the inertia–stiffness parameters together with damping. A dynamic model of the gear pair is developed and a system of differential equations is derived that accounts for variable damping, backlash, and the multivalued kinematic error function. The system is simplified for engineering calculations, yielding an expression for the meshing force with an explicit dynamic load component. It is shown that the likelihood of transition into the profile separation mode increases as the rotation speed rises and the transmitted torque decreases.

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