Abstract
This paper describes a new formula for the bending deflection of the gear rack, which is used to calculate the transmission error of the helical gear pair. New formula is consistent with the precise FEM result over the wide range of (1) pressure angles from 10 to 25 degrees, (2) depth factors from 1.0 to 1.4,(3) width height ratios from 2 to 6,(4) clearance factor 0.35. This new formula is physically agreeable and much more simple than traditional Umezawa and Nishino's formula.
