Title: An ease-off based approach to designing a high-order transmission motion for face-milled spiral bevel gears

Authors: Qi Wang; Chi Zhou; Liangjin Gui; Zijie Fan

Addresses: School of Vehicle and Mobility, Tsinghua University, Beijing, 100084, China ' School of Vehicle and Mobility, Tsinghua University, Beijing, 100084, China ' School of Vehicle and Mobility, Tsinghua University, Beijing, 100084, China ' School of Vehicle and Mobility, Tsinghua University, Beijing, 100084, China

Abstract: This work proposes an approach for designing a fourth-order transmission motion based on ease-off modification for spiral bevel gears. Four control parameters derived from three feature points on a predetermined fourth-order motion graph are proposed to obtain an ease-off modification. This approach differs from other methods in that the polynomial coefficients of the transmission motion are not directly used to obtain the ease-off. Instead, parameters of the predetermined transmission motion with actual physical meanings are used. A spiral bevel gear pair is designed with a fourth-order transmission motion to show the effectiveness. The simulated loaded contact pattern (LCP) shows good agreement with the loaded tooth contact experiment. The results show that the loaded transmission error (LTE) can be reduced by 29.6%, the maximum contact pressure can be reduced by 10.6%, and the maximum root bending stress can be reduced by 17.4% and 23.8% for the pinion and wheel, respectively.

Keywords: spiral bevel gears; fourth-order transmission error; ease-off modification; LTE; loaded transmission error; LTE; bending stress; LCP; loaded contact pattern.

DOI: 10.1504/IJVD.2019.111583

International Journal of Vehicle Design, 2019 Vol.81 No.3/4, pp.241 - 264

Accepted: 12 May 2020
Published online: 02 Dec 2020 *

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