Abstract

This paper presents a method to establish a mathematical model of an elliptical gears pair's tooth profile slip curve. The gear has an ellipse involute tooth profile generated by a rack cutter. The profile equation was developed based on the gearing theory with centrodes and center distance and consideration to conditions for avoiding undercutting. An elliptical involute curve and design parameters of the rack cutter were established corresponding to different points on the centrode of the elliptical gear. The profile equation was developed based on the theory of gearing with given centrodes and axis distance and consideration to conditions for avoiding undercutting. An elliptical involute curve and design parameters of the rack cutter determined corresponding to different points on the centrode of the elliptical gear. Wrote a number calculation program was in Matlab to examine and select appropriate pressure angles to limit the slippage between the mating teeth, to reduce wearing and enhance the lifespan of the elliptical gear pair. Case studies were also presented to confirm the influence of the pressure angle on the profile slippage phenomenon and select the rack cutter's pressure angle to reduce uneven wearing between the teeth of one elliptical gear. The survey results show that when the pressure angle of the rack cutter is large, the profile wear will occur faster since the ramp tooth rib, shorter length of the line of action, and pointed tooth tip. These research results are meaningful in selecting the rack cutter's pressure angle to gear the non-circular gear has tooth profile is an involute ellipse curve.