弧齿锥齿轮齿面误差的最少参数修正法

中国机械工程 ›› 2010, Vol. 21 ›› Issue (04): 469-476.

弧齿锥齿轮齿面误差的最少参数修正法

曹康1，2;唐进元1;李国顺1;刘艳萍3

1.中南大学现代复杂装备设计与极端制造教育部重点实验室,长沙,410083

2.中南传动机械厂,长沙,410200;;3.湖南工业职业技术学院,长沙,410208

出版日期:2010-02-25 发布日期:2010-03-10
基金资助:
国家自然科学基金资助项目(50875263)；国家重点基础研究发展计划资助项目(2005CB724100)
National Natural Science Foundation of China（No. 50875263）;
National Program on Key Basic Research Project (973 Program)（No. 2005CB724100）

Least Parametrical Modification Method of Spiral Bevel Gear Tooth Surface Errors

Cao Kang1,2;Tang Jinyuan1;Li Guoshun1;Liu Yanping3

1.Key Laboratory of Modern Complex Equipment Design and Extreme Manufacturing of Ministry of Education,Central South University,Changsha,410083

2.Zhongnan Transmission Machinery Works,Changsha,410200

3.Hunan Industry Polytechnic,Changsha,410208

Online:2010-02-25 Published:2010-03-10
Supported by:

National Natural Science Foundation of China（No. 50875263）;
National Program on Key Basic Research Project (973 Program)（No. 2005CB724100）

摘要/Abstract

摘要：

研究弧齿锥齿轮小轮齿面误差与调整参数误差之间的敏感性关系，基于SFT加工法得出对齿面误差影响较大的调整参数，提出齿面误差最少参数修正法。建立刀倾法加工的弧齿锥齿轮齿面数学模型，推导弧齿锥齿轮小轮的理论齿面方程和误差齿面方程，推导机床调整参数误差作用下的齿面任一点加工误差的解析表达式，提出机床调整参数误差对齿面误差的影响系数概念，依此判断各项机床调整参数误差对齿面误差的影响程度。通过理论齿面和误差齿面的比较，确定各项机床调整参数误差作用下的全齿面法向误差的变化规律。由解析法和数值法相互验证,确定弧齿锥齿轮加工过程中对齿面误差影响较大的调整参数误差项。利用函数法建立机床调整参数变化量与齿面法向误差的关系，采用序列二次规划法，求得机床调整参数修正量最优解。通过实例验证，提出的反调修正方法可以有效降低齿面误差。

关键词:

弧齿锥齿轮, 调整参数误差, 敏感性, 误差影响系数

Abstract:

The sensitivity relationship between the machine adjustment parameter errors and surface errors of the hypoid gears was researched herein,and the major impact of the machine adjustment parameter errors were determined based on the method of SFT(spiral format title),and a least parametrical modification method of tooth surface errors was proposed.The tooth surface mathematical model of a spiral bevel gear by SFT was established,and the equations of theoretical tooth bearing and error tooth were established,the analytical expression of tooth surface processing errors caused by the machine adjustment parameter errors was derived,and the concept of error influence coefficient

was proposed,and the impact of surface errors caused by machine adjustment parameter errors can be obtained according to the error influence coefficient.Through comparison

of theoretical tooth bearing and error tooth,the effect law of tooth surface node processing errors and the whole tooth surface normal errors were determined.The major impacts of the machine adjustment parameter errors were determined by analytical and numerical method.The relationship

between the machine adjustment parameter errors and surface errors was determined by the functional method,and the optimal solution of the machine adjustment parameter was solved by using the sequential quadratic programming method.The correct method

proposed can effectively reduce the tooth surface error by means of experimental verification.

Key words:

spiral bevel gear, adjustment parameter error, sensitivity, error influence coefficient

中图分类号:

TH132



曹康, 唐进元, 李国顺, 刘艳萍.

弧齿锥齿轮齿面误差的最少参数修正法

[J]. 中国机械工程, 2010, 21(04): 469-476.

CAO Kang, TANG Jin-Yuan, LI Guo-Shun, LIU Yan-Ping. Least Parametrical Modification Method of Spiral Bevel Gear Tooth Surface Errors[J]. China Mechanical Engineering, 2010, 21(04): 469-476.

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