Nonlinear Optimization Method for Transmission Error of Hypoid Gear Machined by the Duplex Helical Method

Table 4

Initial head-cutter and machine tool parameters of the hypoid gear pair.

	Gear		Pinion
Blade angle ap (°)	Concave	Convex	Concave	Convex
	20	25	20	25
Point radius rc1 (mm)	115.824	112.776	114.966	112.206
Tilt angle i (°)	0		15.572
Swivel angle j (°)	0		−35.332
Radial distance sr1 (mm)	116.573		117.385
Center roll position q1 (°)	60.465		65.626
Work offset e1 (mm)	0		28.568
Machine center to back (mm)	3.1416		−0.147
Sliding base xb1 (mm)	0		16.637
Ratio of roll mb1	0		5.326
Machine root angle γm1 (°)	72.2366		−3.631
Velocity coefficient of helical motion hl (mm/rad)	0		0.766