Journal of Jilin University(Engineering and Technology Edition) ›› 2025, Vol. 55 ›› Issue (4): 1207-1214.doi: 10.13229/j.cnki.jdxbgxb.20240049

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Tooth width design of helical face gear with non-orthogonal offset modification integration

Xue-zhong FU1,2,3(),Hou-bing HE3,Xu-dong LIU3,Jing-zhen LI3   

  1. 1.School of Mechanical Engineering，Northwestern Polytechnical University，Xi'an 710072，China
    2.Postdoctoral and External Expert Workstation of Guangxi Automobile Group Co. ，Ltd. ，Liuzhou 545007，China
    3.College of Mechanical and Automotive Engineering，Guangxi University of Science and Technology，Liuzhou 545006，China
  • Received:2024-01-14 Online:2025-04-01 Published:2025-06-19

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Abstract:

In order to enhance the applicability of face gear in various compact devices and further expand its transmission advantages， the design of helical face gear with non-orthogonal offset modification integration and its tooth width is studied. The three-dimensional model of non-orthogonal offset modified helical gear is established. According to the restriction conditions of undercut and tip sharpening of non-orthogonal offset modified helical gear， the inner radius and outer radius of gear teeth are designed， and the effective tooth width of face gear is obtained. The influences of axis intersection angle， displacement coefficient， offset distance and helix angle on inner diameter， outer diameter and tooth width are analyzed. The results show that the effective tooth width of face gear first decreases and then increases when the shaft intersection angle increases. The effective tooth width of face gear increases with the increase of modification coefficient； The influence of offset distance on effective tooth width will produce different results because of the size of axis intersection angle； With the increase of helix angle， the effective tooth width will decrease with a small amplitude.

Key words: mechanical design and theory, helical face gear, non-orthogonal, offset, modification, tooth width design

CLC Number: 

  • TH132.41

Fig.1

Schematic diagram of face gear modification principle"

Fig.2

Machining principle of non-orthogonal offset modified helical face gear"

Fig.3

Tooth profile of modified helical gear shaper cutter"

Fig.4

Coordinate system of gear shaper machining"

Table 1

Parameter of face gear pair"

设计参数数值设计参数数值
面齿轮齿数N286刀顶圆角半径rco/mm0.8
小轮齿数N127轴交角γ/(°)60
插齿刀齿数Ns30变位系数x-0.3
法面模数mn4偏置距E/mm-10
法面压力角αn/(°)25螺旋角β/(°)10

Fig.5

Face gear tooth model"

Fig.6

Influence of shaft intersection angle on minimum inner radius， maximum outer radius and limit tooth width of face gear（β=5°,x=0,E=0）"

Fig.7

Influence of modification coefficient on minimum inner radius， maximum outer radius and limit tooth width of face gear（β=5°,E=0）"

Fig.8

Influence of offset distance on minimum innerradius，maximum outer radius and limit toothwidth of face gear（β=5°,x=0）"

Fig.9

Influence of spiral angle on minimum innerradius， maximum outer radius and limittooth width of face gear（x=0,E=0）"

Fig.10

Limit tooth surface model under different parameters"

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