Research Article
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 |
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