非正交偏置变位一体化的斜齿面齿轮齿宽设计

doi:10.13229/j.cnki.jdxbgxb.20240049

摘要/Abstract

摘要：

为了增强面齿轮在各种结构紧凑设备的适用性，进一步扩大其传动优势，研究了非正交偏置变位一体化的斜齿面齿轮及其齿宽设计。建立了非正交偏置变位斜齿面齿轮的三维模型，根据非正交偏置变位斜齿面齿轮根切和齿顶变尖的限制条件，对轮齿的内半径及外半径进行设计，得出了面齿轮的有效齿宽，并分析了轴交角、变位系数、偏置距和螺旋角对内径、外径和齿宽的影响。研究结果表明：轴交角不断增加时，面齿轮的有效齿宽先减小后增加；面齿轮的有效齿宽随着变位系数的增加而增大；偏置距对有效齿宽的影响会因为轴交角的大小而产生不同的结果；螺旋角的增大会使有效齿宽以较小幅度的趋势减小。

关键词: 机械设计及理论, 斜齿面齿轮, 非正交, 偏置, 变位, 齿宽设计

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

中图分类号:

TH132.41

付学中,何厚冰,刘旭东,李静珍. 非正交偏置变位一体化的斜齿面齿轮齿宽设计[J]. 吉林大学学报(工学版), 2025, 55(4): 1207-1214.

Xue-zhong FU,Hou-bing HE,Xu-dong LIU,Jing-zhen LI. Tooth width design of helical face gear with non-orthogonal offset modification integration[J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(4): 1207-1214.

图/表 11

图1

图2

图3

图4

表1

面齿轮副参数"

设计参数	数值	设计参数	数值
面齿轮齿数 $N 2$	86	刀顶圆角半径 $r c o / m m$	0.8
小轮齿数 $N 1$	27	轴交角 $γ / (°)$	60
插齿刀齿数 $N s$	30	变位系数 $x$	-0.3
法面模数 $m n$	4	偏置距 $E / m m$	-10
法面压力角 $α n / (°)$	25	螺旋角 $β / (°)$	10

表1

图5

图6

图7

图8

图9

图10

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