Tooth contact analysis of crossed beveloid gear transmission with parabolic modification

Ni, Gaoxiang; Zhu, Caichao; Song, Chaosheng; Du, Xi; Zhou, Yao

doi:10.1016/j.mechmachtheory.2017.03.004

“…Ni et. al [30,31] improved the contact performance by a parabolic tip relief by a numerical design approach based on the gear-manufacturing and meshing theory. The dynamic responses of low contact ratio spur gear by linear and parabolic tip relief [32] have been compared for the minimum dynamic load of gears under different working conditions.…”

Section: Introductionmentioning

confidence: 99%

A Novel Tooth Tip Relief Method for Reducing Micro-Pitting of Spur Gears

Xu

¹

,

Liang

²

,

Zuo

³

et al. 2021

Preprint

1

0

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Micro-pitting is a common fatigue failure mode of spur gears. To reduce it, this paper proposes a novel tooth tip relief method. Gear meshing simulation is firstly performed considering the actual contact path, showing that there are four Hertz contact stress peaks in the transition areas of the tooth flank. Equations are then developed for the novel tooth tip relief method: one focuses on the smooth transition between the involute profile and the tip relief region, the other on the smooth transition between the tip relief region and the tooth tip. The results of curvature radius and Hertz contact stress show that the proposed novel method can effectively reduce the Hertz contact stress peaks, which indicates this tip relief method could benefit for reducing the micro-pitting. Finally, both wear simulations and bench tests are conducted, verifying the effectiveness of the proposed method for reducing the micro-pitting of spur gears.

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“…Simon 29 presented a linear function for the simultaneous calculation of optimal tooth tip relief and tooth crowning for spur and helical gears, which improved the load and stress distribution considerably. Ni et al 30,31 improved the contact performance by a parabolic tip relief by a numerical design approach based on the gear-manufacturing and meshing theory. The dynamic responses of low contact ratio spur gear by linear and parabolic tip relief 32 have been compared for the minimum dynamic load of gears under different working conditions.…”

Section: Introductionmentioning

confidence: 99%

A novel tooth tip relief method for reducing micro-pitting of spur gears

Xu

¹

,

Liang

²

,

Zuo

³

et al. 2021

Advances in Mechanical Engineering

3

0

View full text Add to dashboard Cite

Micro-pitting is a common fatigue failure mode of spur gears. To reduce it, this paper proposes a novel tooth tip relief method. Gear meshing simulation is firstly performed considering the actual contact path, showing that there are four Hertz contact stress peaks in the transition areas of the tooth flank. Equations are then developed for the novel tooth tip relief method: one focuses on the smooth transition between the involute profile and the tip relief region, the other on the smooth transition between the tip relief region and the tooth tip. The results of curvature radius and Hertz contact stress show that the proposed novel method can effectively reduce the Hertz contact stress peaks, which indicates this tip relief method could benefit for reducing the micro-pitting. Finally, both wear simulations and bench tests are conducted, verifying the effectiveness of the proposed method for reducing the micro-pitting of spur gears.

show abstract

“…Ni et al. 12 proposed a numerical design approach with parabolic modifications to improve the mesh behaviors of crossed beveloid gear transmission and analyzed the sensitivity to misalignments. The research studies mentioned above are mainly focused on the geometry design to enhance the surface durability based on tooth contact analysis.…”

Section: Introductionmentioning

confidence: 99%

“…9 Song et al 10 and Zhu et al 11 proposed a pitch cone based macro-geometry design procedure and investigated the effects of critical geometry parameters and torque load on the mesh and dynamic characteristics. Ni et al 12 proposed a numerical design approach with parabolic modifications to improve the mesh behaviors of crossed beveloid gear transmission and analyzed the sensitivity to misalignments. The research studies mentioned above are mainly focused on the geometry design to enhance the surface durability based on tooth contact analysis.…”

Section: Introductionmentioning

confidence: 99%

Concave modifications of tooth surfaces of beveloid gears with crossed axes

Liu

¹

,

Song

²

,

Zhu

³

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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The mathematical models of the beveloid gear surfaces with different scenarios of combinations of profile concave modification and lead crowning are derived. Four schemes of modifications were proposed for beveloid gears with crossed axes. Tooth contact analysis is developed to study the influences of different schemes of concave modifications on the mesh behaviors including film thickness, transmission errors, contact ratio, root stresses, and contact patterns. Comparison of the contact characteristics of a beveloid gear drive with and without concave modifications is conducted. The results show that all the concave modification schemes can increase the area of contact patterns and decrease the maximum value of contact stresses, while the minimum film thickness can be increased. For the scheme i.e. the pinion with profile crowning modification and gear with profile concave modification, the contact ratio increases firstly then decreases to a relative lower value. Also, the root stresses are increased obviously. For the scheme for pinion without modification and gear with lead concave modification and the scheme for both pinion and gear with lead concave modification, the transmission errors are decreased slightly. The scheme for the pinion with combined crowning modification and gear with combined concave modification shows the largest improvement for the mesh behaviors in terms of the transmission errors and contact patterns where an almost contact condition can be found for the crossed beveloid gear pair.

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Tooth contact analysis of crossed beveloid gear transmission with parabolic modification

Cited by 29 publications

References 13 publications

A Novel Tooth Tip Relief Method for Reducing Micro-Pitting of Spur Gears

A Novel Tooth Tip Relief Method for Reducing Micro-Pitting of Spur Gears

A novel tooth tip relief method for reducing micro-pitting of spur gears

Concave modifications of tooth surfaces of beveloid gears with crossed axes

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