Abstract
In this study, synchronous cutting of concave and convex surfaces for hypoid gear was achieved using a duplex helical method. Precise, nonlinear optimization of the transmission error driven by machine tool parameters was performed to reduce the vibration noise of the gear pair. First, the transmission error curve and contact path of the tooth surface of the initial pinion were solved using tooth contact analysis. Second, according to the preset parabolic transmission error curve, the initial gear was used to generate the target pinion, which coincided with the contact path of the initial pinion. Finally, a deviation correction model of the discrete points, corresponding to the contact paths on the concave and convex surfaces of the target and initial pinions, was established. This model was solved using the Levenberg–Marquard algorithm with the trust region strategy, to obtain optimized machine tool parameters. Synchronous optimization of the transmission errors of concave and convex surfaces of the pinion was achieved by correcting the deviations of the contact points. The effectiveness of the proposed method was verified by a numerical example and by performing a contact area rolling test.
Highlights
Owing to the strong bearing capacity and high structural reliability of hypoid gear pairs, they are widely used in transmission devices such as automobiles and helicopters
Owing to the increasing demand for comfort and reliability in cars, higher requirements are simultaneously being imposed for the vibration noise and life span of gear pairs. e vibration noise and life span of a gear pair are directly affected by the transmission error. erefore, it is crucial to reduce the transmission error of gear pairs while ensuring efficient cutting in the duplex helical method [5, 6]
It is more difficult to obtain the transmission error amplitude accurately for a gear pair cut by the duplex helical method. erefore, the high-precision optimization of the transmission error of a hypoid gear pair cut by the duplex helical method was investigated in this study
Summary
Received 14 May 2020; Revised 16 October 2020; Accepted 11 November 2020; Published 29 November 2020. Synchronous cutting of concave and convex surfaces for hypoid gear was achieved using a duplex helical method. Nonlinear optimization of the transmission error driven by machine tool parameters was performed to reduce the vibration noise of the gear pair. The transmission error curve and contact path of the tooth surface of the initial pinion were solved using tooth contact analysis. A deviation correction model of the discrete points, corresponding to the contact paths on the concave and convex surfaces of the target and initial pinions, was established. Is model was solved using the Levenberg–Marquard algorithm with the trust region strategy, to obtain optimized machine tool parameters. Synchronous optimization of the transmission errors of concave and convex surfaces of the pinion was achieved by correcting the deviations of the contact points. Synchronous optimization of the transmission errors of concave and convex surfaces of the pinion was achieved by correcting the deviations of the contact points. e effectiveness of the proposed method was verified by a numerical example and by performing a contact area rolling test
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
