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

Table 5

Optimized machine tool parameters of the pinion.

	Levenberg–Marquard algorithm with trust region strategy	Sequential quadratic programming algorithm
Tilt angle i (°)	14.641	15.049
Swivel angle j (°)	−36.249	−36.018
Radial distance sr1 (mm)	117.968	117.721
Center roll position q1 (°)	65.626	65.626
Work offset e1 (mm)	29.100	28.880
Machine center to back (mm)	−0.138	−0.117
Sliding base xb1 (mm)	15.938	16.303
Ratio of roll mb1	5.376	5.358
Machine root angle γm1 (°)	−2.671	−3.077
Velocity coefficient of helical motion hl (mm/rad)	0.516	0.595