Development of the Software of Tooth Surface Topographic Deviation Evaluation for the Spiral Bevel Gear

徐忠四; 赵俊利; 朱丹

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Development of the Software of Tooth Surface Topographic Deviation Evaluation for the Spiral Bevel Gear

更新时间：2026-09-14

- Development of the Software of Tooth Surface Topographic Deviation Evaluation for the Spiral Bevel Gear
- 螺旋锥齿轮齿面拓扑误差评定软件包的开发
- Issue 2, Pages: 113-116(2008)
- 作者机构：
  
  1. 中北大学机电工程学院
  2. 山西北方惠丰机电有限公司
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2008
- 稿件说明：
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徐忠四, 赵俊利, 朱丹. Development of the Software of Tooth Surface Topographic Deviation Evaluation for the Spiral Bevel Gear[J]. 2008, (2): 113-116.
DOI：

徐忠四, 赵俊利, 朱丹. Development of the Software of Tooth Surface Topographic Deviation Evaluation for the Spiral Bevel Gear[J]. 2008, (2): 113-116. DOI：

摘要

建立了螺旋锥齿轮的理论齿面模型

从理论上分析了螺旋锥齿轮整体误差的形成原因及其分离方法

把螺旋锥齿轮齿面拓扑误差分解为三种整体形状误差:零阶、一阶和二阶误差.提出了差曲面和最小二乘法相结合的方法

提取了螺旋锥齿轮齿面拓扑误差的特征参数.用VC++6.0和Matlab两种语言相结合

开发了螺旋锥齿轮齿面拓扑误差评定软件包.该软件包可以绘制出大小齿轮的理论齿面和差曲面

利用得到的差曲面可迅速地计算出各阶误差的特征参数值

实现了对齿面拓扑误差的定量评定.

Abstract

The theoretical tooth surface model of spiral bevel gears was built

and the causes of global form error and the error separation method were analyzed theoretically.The tooth surface topographic deviations of the spiral bevel gear was separated into three globe form deviations

that is

the 0th

the 1st

and the 2nd order form deviation.Difference surface in combination with the least square method was proposed and the diagnostic parameters of tooth surface topographic deviation were derived.A software of tooth surface topographic deviation evaluation for the spiral bevel gear was developed with VC++6.0 in combination with Matlab.The theoretical tooth surface and difference surface of the gearwheel and pinion can be drawn by the software

and the diagnostic parameters of each order form deviation can be computed rapidly according to the derived difference surface

which leads to evaluate the tooth surface topographic deviation quantificationally.

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references

徐忠四.螺旋锥齿轮齿面拓扑误差评定方法的研究[D].北京:北京工业大学,2006.

苏金明,黄国明,刘波.MATLAB与外部程序接口[M].北京:电子工业出版社,2004:162-177.

刘静华,王永生.最新VC++绘图程序设计技巧与实例教程[M].北京:科学出版社,2001:102-112.

王军,王小椿,姜虹,等.齿轮齿面的三坐标测量[J].机械工程学报,2003,39(6):151-154.Wang Jun,Wang Xiaochun,Jiang Hong,et al.Measurement of tooth surface of spiral bevel gear[J].Chinese Jounalof Mechanical Engineering,2003,39(6):151-154.(in Chinese)

徐忠四,付胜.差曲面及其在螺旋锥齿轮拓扑误差评定中的应用[J].组合机床与自动化加工技术,2006(5):39-42.Xu Zhongsi,Fu Sheng.Difference surface and application on topography deviation characterization of the spiral bevelgear[J].Modular Machine Tool&Automatic Manufacturing Technique,2006(5):39-42.(in Chinese)

黄晓琴.螺旋锥齿轮真实轮齿表面形貌数值分析及试验研究[D].重庆:重庆大学,1996.

Gosselin C,Guertin T,Remond D,et al.Simulation and experimental measurement of the transmission error of realhypoid gears under load[J].ASME,Journal of Mech.Des,2000,122(3):109-122.

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