大重合度弧齿锥齿轮设计与分析

苏进展; 魏刚; 杨羽; 常乐浩; 郭家舜

doi:10.7652/xjtuxb202103014

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大重合度弧齿锥齿轮设计与分析

更新时间：2025-07-09

- 大重合度弧齿锥齿轮设计与分析
- Design and Analysis of Spiral Bevel Gears with Large Contact Ratio
- 西安交通大学学报 2021年55卷第3期页码：117-125
- 作者机构：
  
  长安大学道路施工技术与装备教育部重点实验室,西安,710064
- 作者简介：
- 基金信息：
  
  : 2020-09-22。作者简介: 苏进展(1982—),男,副教授。基金项目: 国家自然科学基金资助项目(51805405);陕西省自然科学研究计划资助项目(2019JQ-695;2020JQ-383)
- DOI：10.7652/xjtuxb202103014
  中图分类号： TH132
- 网络首发：2021-03-10，
  
  纸质出版：2021
- 稿件说明：
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苏进展, 魏刚, 杨羽, 等. 大重合度弧齿锥齿轮设计与分析[J]. 西安交通大学学报, 2021,55(3):117-125.

Design and Analysis of Spiral Bevel Gears with Large Contact Ratio[J]. 2021, 55(3): 117-125.
苏进展, 魏刚, 杨羽, 等. 大重合度弧齿锥齿轮设计与分析[J]. 西安交通大学学报, 2021,55(3):117-125. DOI： 10.7652/xjtuxb202103014.

Design and Analysis of Spiral Bevel Gears with Large Contact Ratio[J]. 2021, 55(3): 117-125. DOI： 10.7652/xjtuxb202103014.

摘要

为改善弧齿锥齿轮啮合性能

提出一种接触路径沿齿长方向的大重合度设计方法。预置沿齿长的接触路径和对称抛物线传动误差

以大轮作为假想插齿刀

共轭展成小轮辅助齿面; 先计算沿接触路径的齿面修形量

再根据轻载的弹性变形量和接触椭圆长半轴

计算出沿接触线齿面网格点的修形量

将两者叠加到小轮辅助齿面上获得小轮目标齿面; 借助遗传算法求解目标齿面所对应的小轮加工参数。通过算例表明

将接触路径设计为沿齿长方向能够获得大重合度

且重合度仅与齿宽有关

沿齿宽中线的接触路径能够获得更好的啮合性能

避免过早发生边缘接触; 齿面印痕沿齿向分布

避免内对角接触

减小齿面相对滑动速度

且在安装误差作用下

齿面印痕沿着齿高方向移动。

Abstract

In order to improve the meshing performance of spiral bevel gears

this paper proposes a design method of large contact ratio with contact path along tooth width. The auxiliary tooth surface of pinion is generated by using the wheel as the imaginary shaping and presetting the symmetric parabolic function of transmission error. The modification along contact path is firstly calculated

and then the modification of grid points on the tooth surface along contact lines is obtained according to the elastic deformation under light-load condition and the major semi-axis of the contact ellipse

superimposing both modifications on the auxiliary tooth surface of pinion to obtain the target tooth surface of the pinion. Finally

the machine-tool settings corresponding to the target tooth surface of the pinion are solved by the genetic algorithm. The numerical example shows that a large contact ratio can be obtained by designing the contact path along the tooth width

and the contact ratio is only related to the tooth width; the contact path along mid line of tooth width provides better meshing performance than along pitch line

which can avoid early edge contact. The tooth contact pattern is distributed along the tooth width direction

so as to avoid internal diagonal contact and reduce the relative sliding velocity between the meshing tooth surfaces

the tooth contact pattern moves along tooth height direction under the assemble errors.

关键词

Keywords

references

FALAH B, GOSSELIN C, CLOUTIER L. Experimental and numerical investigation of the meshing cycle and contact ratio in spiral bevel gears [J]. Mechanism and Machine Theory, 1998, 33(1/2): 21-37.

杨宏斌, 范明, 周彦伟, 等高齿准双曲面齿轮的研究 [J]. 中国机械工程, 2000, 11(8): 897-900.

YANG Hongbin, FAN Ming, ZHOU Yanwei, et al. Research on high tooth hypoid gears [J]. China Mechanical Engineering, 2000, 11(8): 897-900.

张华, 李梦亚, 魏冰阳, 等. 大重合度负传动弧齿锥齿轮的设计及承载性能分析 [J]. 机床与液压, 2019, 47(5): 72-76.

ZHANG Hua, LI Mengya, WEI Bingyang, et al. Design and loaded capability analysis of high contact ratio negative transmission spiral bevel gear [J]. Machine Tool and Hydraulics, 2019, 47(5): 72-76.

邓效忠, 范明, 杨宏斌. 螺旋锥齿轮的重合度与承载量的关系 [J]. 中国机械工程, 2001, 12(8): 878-880.

DENG Xiaozhong, FAN Ming, YANG Hongbin. Relationship between contact ratio and load of spiral bevel gears [J]. China Mechanical Engineering, 2001, 12(8): 878-880.

邓效忠, 方宗德, 张金良, 等. 弧齿锥齿轮的高重合度设计 [J]. 中国机械工程, 2002, 13(9): 791-795.

DENG Xiaozhong, FANG Zongde, ZHANG Jinliang, et al. Design of spiral bevel gears with high contact ratio [J]. China Mechanical Engineering, 2002, 13(9): 791-795.

邓效忠, 方宗德, 杨宏斌, 等. 高重合度弧齿锥齿轮的强度分析 [J]. 航空动力学报, 2002, 17(3): 367-372.

DENG Xiaozhong, FANG Zongde, YANG Hongbin, et al. Strength analysis of spiral bevel gears with high contact ratio [J]. Journal of Aerospace Power, 2002, 17(3): 367-372.

邓效忠. 高重合度弧齿锥齿轮的设计理论及实验研究 [D]. 西安: 西北工业大学, 2002: 20-27.

邓效忠, 方宗德, 魏冰阳. 高重合度弧齿锥齿轮加工参数设计与重合度测定 [J]. 机械工程学报, 2004, 40(6): 95-99.

DENG Xiaozhong, FANG Zongde, WEI Bingyang. Design and experiment of spiral bevel gears with high contact ratio [J]. Journal of Mechanical Engineering, 2004, 40(6): 95-99.

牟彦铭, 方宗德, 张西金. 高重合度弧齿锥齿轮高阶传动误差设计与分析 [J]. 华中科技大学学报(自然科学版), 2018, 46(7): 68-72.

MU Yanming, FANG Zongde, ZHANG Xijin. Design and analysis of high-order transmission error for high contact ratio spiral bevel gears [J]. Journal of Huazhong University of Science and Technology(Natural Science Edition), 2018, 46(7): 68-72.

MU Yanming, FANG Zongde. Design and analysis of high contact ratio spiral bevel gears by modified curvature motion method [J]. Proceedings of the Institution of Mechanical Engineers: Part C Journal of Mechanical Engineering Science, 2018, 232(19): 3396-3409.

MU Yanming, FANG Zongde. An ease-off flank modification method for high contact ratio spiral bevel gears with modified curvature motion [J]. Journal of Advanced Mechanical Design Systems and Manufacturing, 2017, 11(3): JAMDSM0034.

MU Yanming, LI Wenli, FANG Zongde, et al. A novel tooth surface modification method for spiral bevel gears with higher-order transmission error [J]. Mechanism and Machine Theory, 2018, 126: 49-60.

MU Yanming, LI Wenli, FANG Zongde. Tooth surface modification method of face-milling spiral bevel gears with high contact ratio based on cutter blade profile correction [J]. International Journal of Advanced Manufacturing Technology, 2020, 106(7): 3229-3237.

FUENTES-AZNAR A, RUIZ-ORZAEZ R, GONZALEZ-PEREZ I. Computational approach to design face-milled spiral bevel gear drives with favorable conditions of meshing and contact [J]. Meccanica, 2018, 53(1): 1-18.

FUENTES A, LITVIN F L, MULLINNS B, et al. Design and stress analysis of low-noise adjusted bearing contact spiral bevel gears [J]. Journal of Mechanical Design, 2002, 124(3): 524-532.

CAO Xuemei, FANG Zongde, XU Hao, et al. Design of pinion machine tool-settings for spiral bevel gears by controlling contact path and transmission errors [J]. Chinese Journal of Aeronautics, 2008, 21(2): 179-186.

SU Jinzhan, FANG Zongde, CAI Xiangwei. Design and analysis of spiral bevel gears with seventh-order function of transmission error [J]. Chinese Journal of Aeronautics, 2013, 26(5): 1310-1316.

侯祥颖, 方宗德. 考虑边缘接触的弧齿锥齿轮有限元接触分析 [J]. 西安交通大学学报, 2016, 50(11): 69-74.

HOU Xiangying, FANG Zongde. Tooth contact analysis of spiral bevel gears considering edge contact with finite element method [J]. Journal of Xi'an Jiaotong University, 2016, 50(11): 69-74.

侯祥颖, 方宗德, 邓效忠, 等. 弧齿锥齿轮有限元建模与接触分析 [J]. 哈尔滨工程大学学报, 2015, 36(6): 826-830.

HOU Xiangying, FANG Zongde, DENG Xiaozhong, et al. Contact analysis of spiral bevel gears based on finite element model [J]. Journal of Harbin Engineering University, 2015, 36(6): 826-830.

侯祥颖, 方宗德. 弧齿锥齿轮的向量式有限元静态啮合分析 [J]. 西安交通大学学报, 2017, 51(9): 85-91.

HOU Xiangying, FANG Zongde. Static meshing analysis of spiral bevel gears based on vector form intrinsic finite element method [J]. Journal of Xi'an Jiaotong University, 2017, 51(9): 85-91.

刘玄,方宗德,赵宁,等.高重合度斜齿轮多齿对啮合的补偿修形设计与分析.2020,54(11):56-64.[doi:10.7652/xjtuxb 202011007]

贾超,姚立纲,张俊,等.修形渐开线斜齿轮啮入冲击计算.2020,54(9):58-65.[doi:10.7652/xjtuxb202009006]

蒋进科,刘钊,刘红梅.齿面磨损最小直齿锥齿轮Ease-off修形设计与分析.2020,54(6):99-106.[doi:10.7652/xjtuxb 202006013]

蒋进科,方宗德,刘钊.Ease-off拓扑修形准双曲面齿轮齿面多目标优化设计方法.2019,53(6):44-53.[doi:10.7652/xjtuxb201906007]

付学中,方宗德,崔艳梅,等.面齿轮传动全齿面闪温分布与抗胶合修形优化.2018,52(11):120-126.[doi:10.7652/xjtuxb201811018]

侯祥颖,方宗德.弧齿锥齿轮的向量式有限元静态啮合分析.2017,51(9):85-91.[doi:10.7652/xjtuxb201709012]

侯祥颖,方宗德.考虑边缘接触的弧齿锥齿轮有限元接触分析.2016,50(11):69-74.[doi:10.7652/xjtuxb201611011]

蔺彦虎,赵宁,彭艳军.具有循环对称特点的耦合结构振动特性分析.2016,50(7):68-74.[doi:10.7652/xjtuxb201607011]

刘雨薇,张卫正,叶福浩.单个微凸体接触过程中的闪点温度研究.2016,50(3):90-93.[doi:10.7652/xjtuxb201603014]

邱昕洋,张光辉,秦大同.平面蜗轮连续分度飞削加工及工艺试验研究.2010,44(7):95-99.[doi:10.7652/xjtuxb201007 021]

凌文锋,姜虹.应用于螺旋锥齿轮热后精加工的珩齿技术研究.2007,41(7):815-819.[doi:10.7652/xjtuxb200707014]

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