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Study on Tooth Profile of Planar Enveloping Crown Worm

China Mechanical Engineering ›› 2012, Vol. 23 ›› Issue (16): 1891-1896.

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#br# Study on Tooth Profile of Planar Enveloping Crown Worm

Chen Yonghong;Zhang Guanghui;Chen Bingkui

State Key Laboratory of Mechanical Transmissions,Chongqing University,Chongqing,400030

Online:2012-08-25 Published:2017-05-27
Supported by:

The National Key Technology R&D Program（No. 2006BF01B01-3）;
National Natural Science Foundation of China（No.）

平面包络凸环面蜗杆齿形研究

陈永洪;张光辉;陈兵奎

重庆大学机械传动国家重点实验室,重庆,400030

基金资助:
国家科技支撑计划资助项目(2006BF01B01-3);国家自然科学基金资助项目(50805148)
The National Key Technology R&D Program（No. 2006BF01B01-3）;
National Natural Science Foundation of China（No.）

Abstract

Abstract:

Aiming at a new type of planar enveloping crown worm,a mathematical model of the teeth surface was established based on the theory of gear mesh;
the tooth profile was analyzed,namely to study the laws of the parameters on tooth undercut and sharpened middle tooth.A method was presented to equalize the grinding allowance.A sample work piece was manufactured by the NC toroidal worm machine with the
theory of fictitious center distance,and the profile accuracy was tested by coordinate measurement.The validity and feasibility of the optimized method were proved by case
studies,and the sample work piece gains 8 grade profile accuracy.The studies solve the
crucial issues on design,manufacture and test of the planar enveloping crown worm.

Key words: crown worm, tooth profile study, processing principle, testing method

摘要：


针对一种新型平面包络凸环面蜗杆,应用啮合原理建立了齿面数学模型,对其进行齿形分析,研究母平面倾角等参数对齿面根切及中齿变尖的影响规律。提出了一种均化磨削余量的粗加工方法,运用虚拟中心距原理试制出平面包络凸环面蜗杆样件。基于蜗杆齿面离散点坐标值对平面包络凸环面蜗杆进行了齿形加工精度检测。结果表明：齿面磨削余量优化方法正确、可行、有效,样件齿形达8级加工精度,解决了平面包络凸环面蜗杆在设计、制造及检测中的关键问题。



关键词: 凸环面蜗杆, 齿形分析, 加工原理, 检测方法

CLC Number:

TH132.429

CHEN Yong-Hong, ZHANG Guang-Hui, CHEN Bing-Kui. #br# Study on Tooth Profile of Planar Enveloping Crown Worm[J]. China Mechanical Engineering, 2012, 23(16): 1891-1896.

陈永洪, 张光辉, 陈兵奎. 平面包络凸环面蜗杆齿形研究[J]. 中国机械工程, 2012, 23(16): 1891-1896.

References

[1]张光辉.蜗杆传动几何分类及齿轮包络蜗杆的实质[R].太原:太原工学院第五次科学报告会,1965.
[2]Goldfarb V I. What We Know about Spiroid Gears C//Tb, e International Conference on Mechanical Transmission. Chongqing, 2006 = 12-19.
[3]Litvin F L,Egelja A M,Donno M D. Computerized Dedermination of Singularutues and Envlopes to Families of Contact Lines on Gear Tooth Surfaces [J. Computer Methods in Applied Mechanics and Engineering, 1998,158 (1) : 23-34.
[4]Litvin F L,Donno M D,Lian Qiming,et al. Alterna- tive Approach for Determination of Singularity of Envelop to a Family of Parametric Surfaces [J]. Computer Methods in Applied Mechanics and Engi- neering, 1998,167 (1/2) : 153-165.
[5]Sakai T, Maki M. An Investigation on Secondary Action on Skew GearsJ. ASME Journal of Engi- neering for Industry, 1974,96 (1) : 25-32.
[6]张光辉王朝晋.活动标架的应用及对Baxter诱导法曲率公式的改进[J].重庆大学学报,1983,6(2):1-12.
[7]张光辉,黎亚元.能虚拟中心距的环面数控磨床:中国,CNl907615A[P].2007-02-07.
[8]秦大同,颜佳.平面包络环面蜗杆基于坐标测量的高精度制造方法[J].机械工程学报,1997,33(1):59-65.
[9]曹雪梅[1],王军[1],张海英[1].弧齿锥齿轮齿面误差检测与实验验证[J].中国机械工程,2009(15):1799-1801.
[10]Gocha G. Gear Metrology[J]. CIRP Annals--Man- ufacturing Technology, 2003,52 (2) : 659-695.
[11]张梅[1,2],费业泰[2],盛立[2].三坐标测量机测端动态有效作用直径影响因素分析[J].中国机械工程,2010(9):1018-1021.
[12]陆艺[1],曲颖[1],罗哉[1],孔明[1].坐标测量机动态误差补偿的分析与建模[J].中国机械工程,2011,22(2):144-148.
[13]Predki W, Hermes J. Optimierung der Schnecken- radfertigung Durch Prozesssimulation E Jl. F'ors- chung im Ingenieurwese, 2010,74(1) = 19-25.
[14]Lee Ruey-- Tsung, Shiou Fang-[J]ung. Calculation of the Unit Normal Vector Using the Cross--curve Moving Mask Method for Probe Radius Compensa- tion of a Freeform Surfaee Measurement[J]. Meas- urement,2010,43(4) :469-478.
[15]Liang Shuh--Ren, Lin A C. Probe--radius Corn pensation for 3D Data Points in Reverse Engineer ing[J]. Computers in Industry, 2002,48 (3) : 241 251.

#br# Study on Tooth Profile of Planar Enveloping Crown Worm

平面包络凸环面蜗杆齿形研究

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