A Theoretical Model for Vibro-Impact Dynamics of Spur Gears with Tooth Flanks Wear

The main performance of involute gears operation leads to the appearance of nonlinear dynamic behavior and impact. In this chapter the influence of mild wear of the tooth flanks of gears without machine finishing and surface hardening on the vibro-impact behavior is considered. For this purpose, a new theoretical model for vibro-impact dynamics of spur gears with mild wear on tooth flanks is developed and described. The developed theoretical model is based on the main postulates of a model of the central centric collision of two fictive rolling disks with radii equal to the radii of kinematic diameters of the pinion and the wheel, as well as on a combined analytical/numerical approach used finite element analysis for the calculation of contact deformations, contact pressure, and wear on tooth flanks surfaces. A particular gear pair for earth moving machine is used for presenting the developed model. The conclusions about the influence of mild wear on the vibro-impact oscillations during running-in period are described.