高阶椭圆齿轮副的加工仿真及设计缺陷修正方法研究

吕刚; 范守文

doi:10.13433/j.cnki.1003-8728.2016.0812

高阶椭圆齿轮副的加工仿真及设计缺陷修正方法研究

doi: 10.13433/j.cnki.1003-8728.2016.0812

吕刚,
范守文^,

1.
电子科技大学机械电子工程学院, 成都 611731

基金项目:

国家自然科学基金项目（51175067）、机械传动国家重点实验室开放基金项目（SKLMT-KFKT-201010）及流体动力与机电系统国家重点实验室开放基金项目（GZKF-201029）资助

详细信息

作者简介:
吕刚(1980-),博士研究生,研究方向为机械产品设计缺陷辨识,可验证设计,lvgang1114@163.com

通讯作者:
范守文(联系人),教授,博士生导师,shouwenfan@263.net

计量
- 文章访问数: 178
- HTML全文浏览量: 26
- PDF下载量: 6
- 被引次数: 0
出版历程
- 收稿日期: 2014-09-05
- 刊出日期: 2016-08-05

Exploring Machining Simulation of High-Order Elliptical Gear Profile and Its Design Defect Modification Method

Fan Shouwen,

1.
School of Mechatronics Engineering, University of Electronic Science and Technology of China, Chengdu 611731

摘要

摘要: 基于插齿刀与高阶椭圆齿轮的啮合原理，建立了插齿刀包络高阶椭圆齿轮副齿廓的数学模型，开发了模拟插齿刀包络高阶椭圆齿轮副齿廓的动态仿真程序。依据高阶椭圆齿轮副的传动比函数及其节曲线函数的特性，推导出了高阶椭圆齿轮副节曲线的修正方程，通过修正高阶椭圆齿轮副节曲线的设计参数有效减少了高阶椭圆齿轮副叠齿、根切和过切等设计缺陷的发生。文中实例验证了该设计缺陷修正方法的实用性和有效性。
- 椭圆齿轮 /
- 节曲线 /
- 设计缺陷 /
- 根切 /
- 仿真
Abstract: The mathematical model of the high-order elliptical gear tooth profile of the shaper cutter envelope is established based on the principles of meshing the shaper cutter and the high-order elliptical gear profile. The dynamic simulation program for the high-order elliptical gear tooth profile enveloped by shaper cutter is developed. According to the functional characteristics of the transmission ratio and pitch curve of the high-order elliptical gear profile, we deduce the equation for modifying the high-order elliptical gear profile. By modifying its pitch curve design parameters, the design defects such as overlap tooth, undercutting and overcutting are effectively reduced. The practicability and effectiveness of the design defect modification method are verified with some instances given in this paper.
- high-order elliptical gear profile /
- pitch curve /
- design defect modification /
- undercutting /
- simulation program

HTML全文

参考文献(15)

[1]	斯克莱特,奇罗尼斯.机械设计实用机构与装置图册[M].邹平,译.北京:机械工业出版社,2007:47-53 Sclater N,Chironis N P.Mechanisms and mechanical devices sourcebook[M].Zou P,trans.Beijing:China Machine Press,2007:45-53(in Chinese)
[2]	李福生.非圆齿轮与特种齿轮传动设计[M].北京:机械工业出版社,1983:85-101 Li F S.Transmission design of non-circular gear and special gear[M].Beijing:China Machine Press,1983:85-101(in Chinese)
[3]	俞高红,钱孟波,赵匀,等.偏心齿轮-非圆齿轮行星系分插机构运动机理分析[J].农业机械学报,2009,40(3):81-84 Yu G H,Qian M B,Zhao J,et al.Analysis of kinematic principle of transplanting mechanism with eccentric gears and non-circular gears[J].Transactions of the Chinese Society for Agricultural Machinery,2009,40(3):81-84(in Chinese)
[4]	Liu J Y,Chen Y C.A design for the pitch curve of noncircular gears with function generation[C]//Proceedings of the International MultiConference of Engineers and Computer Scientists.Hong Kong:IMECS,2008:19-21
[5]	刘永平,吴序堂,李鹤岐.常见的凸封闭节曲线非圆齿轮副设计[J].农业机械学报,2007,38(6):143-146 Liu Y P,Wu X T,Li H Q.Study on some common close convex pitch curves of noncircular gear pair[J].Transactions of the Chinese Society for Agricultural Machinery,2007,38(6):143-146(in Chinese)
[6]	姚文席.非圆齿轮设计[M].北京:机械工业出版社,2013:28-37 Yao W X.Non-circular gear design[M].Beijing:China Machine Press,2013:28-37(in Chinese)
[7]	Hu W.Interpolation algorithm based on central angle division[J].International Journal of Machine Tools and Manufacture,2002,42(4):473-478
[8]	李建刚,吴序堂,毛世民,等.非圆齿轮齿廓数值计算的研究[J].西安交通大学学报,2005,39(1):75-78 Li J G,Wu X T,Mao S M,et al.Numerical computation of tooth profile of noncircular gear[J].Journal of Xi'an Jiaotong University,2005,39(1):75-78(in Chinese)
[9]	Li J G,Wu X T,Mao S M.Numerical computing method of noncircular gear tooth profiles generated by shaper cutters[J].The International Journal of Advanced Manufacturing Technology,2007,33(11-12):1098-1105
[10]	陈杰,樊琳.基于Pro/E和MATLAB的椭圆齿轮副设计[J].苏州大学学报(工科版),2012,32(4):60-65 Chen J,Fan L.Design of the elliptic gears based on MATLAB and Pro/E[J].Journal of Soochow University (Engineering Science Edition),2012,32(4):60-65(in Chinese)
[11]	赵鑫,王惠源.椭圆齿轮三维建模与运动仿真分析[J].煤矿机械,2012,33(11):67-68 Zhao X,Wang H Y.3D modeling and motion analysis of elliptical gear[J].Coal Mine Machinery,2012,33(11):67-68(in Chinese)
[12]	杨世平.基于VB的非圆齿轮CAD/CAM系统研究与开发[J].机械科学与技术,2008,27(8):1056-1062 Yang S P.Development of a non-circular gear CAD/CAM system using VB[J].Mechanical Science and Technology for Aerospace Engineering,2008,27(8):1056-1062(in Chinese)
[13]	Bair B W.Computer aided design of elliptical gears[J].Journal of Mechanical Design,2002,124(4):787-793
[14]	熊镇芹,吴序堂,毛世民,等.非圆齿轮插齿加工中的退刀干涉机理及规避方法研究[J].机械工程学报,2002,38(3):152-155 Xiong Z Q,Wu X T,Mao S M,et al.Research on the mechanism and the avoidance method of cutting interference in non-circular gear shaping[J].Chinese Journal of Mechanical Engineering,2002,38(3):152-155(in Chinese)
[15]	李建刚,吴序堂,李泽湘.基于插齿数值计算模型的非圆齿轮根切分析[J].农业机械学报,2007,38(6):138-142 Li J G,Wu X T,Li Z X.Analysis of tooth undercutting in noncircular gears based on numerical computation model of shaping[J].Transactions of the Chinese Society for Agricultural Machinery,2007,38(6):138-142(in Chinese)