Available online at hanism and Machine Theory Mechanism and Machine Theory 43 (2008) 1639–1664 ate/mechmt Tooth wear modeling and prognostication parameters of engagement of spur gear power transmissions Valentin Onishchenko * sk National Technical University, 58 Artjom Street, 83000 sk, Ukraine Available online 20 March 2008 Abstract In this paper, the wear model of tooth surface contact has been developed. This model takes into consideration the con- ditions of machine operation, corresponding tribological theories, the eccentricity of pitch circle and the instant temper- ature in the contact. The prognostication model of gear teeth characteristics takes into account the continuous influence of profile form on the contact parameters and the influence of parameters of contact on the profile form. The full model is done in the form of a package puter programs. This model includes the kinematic model of tooth engagement with any form of profiles, the elastic dynamic model with four degrees of freedom, the tooth wear model for the boundary lubrication regime of friction and the model of synthesis of tooth wear profile. Ó 2007 Elsevier Ltd. All rights reserved. Keywords: Gear transmissions; Specific friction power; Specific wear intensity; Wear model; Synthesis of tooth wear profile; Prognosti- cation parameters of engagement 1. Introduction In the modern world machines are obviously the major means of mechanization used for manufacturing and transportation of huge quantities of all sorts of production. Efficiency of these highly mechanized pro- cesses appreciably depends on the reliability of work of tooth gearings of machine drives. Operating condi- tions for machines used in mining, mining-concentrating, metallurgy, transport, etc. are extremely difficult because of high loadings, high speeds, rough environments which are significantly polluted by abrasive dust. The basic work performance criteria for tooth gearings are based on putations of