A Tooth Flank Crowning Method by Applying a Novel Crossed Angle Function Between the Hob Cutter and Work Gear in the Gear Hobbing Process

Abstract

Abstract. In this paper, a novel longitudinal tooth flank crowning method is proposed by setting the crossed angle between the hob cutter and work gear as a linear function of hob's traverse feed movement in the gear hobbing process. However, this method makes twisted tooth flanks on the hobbed work gear. Therefore, a variable pressure angle hob cutter is applied to obtain an anti-twist tooth flank of hobbed work gear. A computer simulation example is performed to verify the superiority of the proposed novel hobbing method by comparing topographies of the crowned work gear surfaces hobbed by a standard hob cutter and a variable pressure angle hob cutter.

Double modification of a rack cutter using a variable pressure angle and modulus

“…( 1), (13), and (15) and Mathematica, the equation of undercutting is derived to be 2k˘ct 2 1 cos ˘csec where the symbol k is defined as 2 a t : The symbol ˘c is a pressure angle. From equations ( 14), (18) and the parameter values of Table 1 and using mathematical-aids software package, one uses equation ( 18) as the vertical axis and variable t 1 as the horizontal axis, adjust the number of pinion teeth, and obtain the undercutting analysis results.…”

“…Tran et al 17 used a torsion-free transmission function and a CNC gear hobbing machine to modify a gear flank. Wu et al 18 determined the intersection angle of a gear hobbing tool and a gear as a linear function of the movement of the gear hobbing cutter to modify the gear flank. Tran 19 used a non-linear function to move the hobbing tool to modify the tooth flank of the gear.…”