A simplified model for wear prediction in helical gears

A simplified model for wear simulation of helical gears is developed. A hel ical wheel is treated in the model as several thin independent spur gear te eth with a common central axis and gradually turned relative each other a s mall angle corresponding to the helix angle. The load distribution along a tooth flank varies depending on the stiffness of a tooth. The tooth stiffne ss is determined with an empirical model developed by Simon [J. Mech., Tran sm. Automat. Design 110 (1988) 197]. The tooth deformation and the deviatio n from ideal involute form due to profile modification and wear also influe nces the load distribution. The wear model used is a modified Archard's wea r model and the basic principle used is the so-called "single point observa tion principle", which means that the conditions at individual points on th e gear flanks are observed during operation. The pressure in a contact is i n this simple model assumed to be constant and equal to the Hertzian mean p ressure. The sliding distance, a point on a flank slide against the interac ting surface during a working cycle is determined by analytical expressions previously used for spur gears. Simulation results with the simplified model are compared with correspondin g results from a previously made simulation with a more extensive model. (C ) 2001 Elsevier Science B.V. All rights reserved.