无侧隙双滚子包络环面蜗杆传动的CAD系统开发
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摘要
无侧隙双滚子包络环面蜗杆传动,是一种新型滚子包络环面蜗杆传动,它由双滚子蜗轮及其包络的环面蜗杆组成,具有效率高、承载能力大、无侧隙的优点。开展这种蜗杆传动的研究对开发研制一种高效、重载的无侧隙蜗杆传动装置具有重要的理论意义和实用价值。本文从啮合理论、啮合性能分析、数字化设计等几个方面对无侧隙双滚子包络环面蜗杆传动进行了研究。
根据微分几何和齿轮啮合原理,建立了无侧隙双滚子包络环面蜗杆传动的啮合方程和蜗杆齿面方程,并推导了诱导法曲率、润滑角、自转角和相对卷吸速度等齿面接触参数的计算公式以及蜗杆齿面一界曲线方程。为蜗杆副的三维数字化造型打下基础。
基于双滚子包络环面蜗杆传动的啮合性能参数计算公式,应用MATLAB软件编制程序,对传动的啮合性能进行研究。在此基础上,基于MATLAB GUI工具开发了传动的啮合性能分析软件包,该软件包快速有效地生成蜗杆左齿面、右齿面、全齿面以及接触线、润滑角、诱导法曲率、自转角、相对卷吸速度等性能参数的分析。设计者借助于该分析软件,能够快速、有效地选择双滚子包络环面蜗杆传动的啮合参数。
研究了在Pro/E中,无侧隙双滚子包络环面蜗杆传动的三维建模方法和过程。以VC++6.0为开发平台,设计友好的用户界面,并结合Pro/E自带的二次开发工具包Pro/TOOLKIT,在Visual C++6.0环境中编译Pro/Toolkit应用程序,成功驱动实体模型,实现了无侧隙双滚子包络环面蜗杆传动的参数化设计。满足了模型精度和建模速度两方面的要求,实现了对样板模型的参数交互、再生、显示和修改。
Non-Backlash Double-Roller Enveloping Hourgass Worm Gearing consists of two parts about Double-Roller Worm Gearing and Enveloping Hourglass Worm Gearing.A study on this drive is significant in theory and valuable in practice for developing a kind of non-backlash worm gear sets with high precision and heavy load capacity.Mainly from the theoretical perspective,this dissertation investigates the meshing theory,meshing performance and digital design.The content of this research is as follows:
The structure and the work principle of this worm gearing have been introduced.According to the theories of gear meshing,a set of meshing system of the double-roller enveloping hourglass worm gearing in an ideal state is established.Using kinematics method. The meshing function of this drive and worm tooth surface equations have been deduced. And,the formulas of contacting parameters which include normal curvature,lubrication angle,rotation angle and relatively entrainment velocity are derived.
Using the software MATLAB ,a computer program has been complied. Analysing the drive's engagement performance and generating the tooth surface by the program. In order to complete these operations more convenient,a meshing engagement performance software of double-roller wormgear has been developed, which base on MATLAB GUI.The function of the software includes tooth generation, contacting-line analysis,induced normal curvature analysis,lubrication angle analysis,autorotation angle analysis and relatively entrainment velocity analysis. The software bring convenient to designer about modification and debugging and is beneficial to reasonable selection of parameters of double-roller enveloping hourglass worm gearing.
The 3D parameter model of non-backlash double-roller enveloping hourglass worm is established in Pro/E. Based on VC++6.0 and Pro/TOOLKIT-the secondary development tool of Pro/ENGINEER,the visual system of the model is established.It realizes the fuction of model parameters interaction, regeneration, display and modification.The digital model is the foundation of the worm analysis,simulation and other research works.
根据微分几何和齿轮啮合原理,建立了无侧隙双滚子包络环面蜗杆传动的啮合方程和蜗杆齿面方程,并推导了诱导法曲率、润滑角、自转角和相对卷吸速度等齿面接触参数的计算公式以及蜗杆齿面一界曲线方程。为蜗杆副的三维数字化造型打下基础。
基于双滚子包络环面蜗杆传动的啮合性能参数计算公式,应用MATLAB软件编制程序,对传动的啮合性能进行研究。在此基础上,基于MATLAB GUI工具开发了传动的啮合性能分析软件包,该软件包快速有效地生成蜗杆左齿面、右齿面、全齿面以及接触线、润滑角、诱导法曲率、自转角、相对卷吸速度等性能参数的分析。设计者借助于该分析软件,能够快速、有效地选择双滚子包络环面蜗杆传动的啮合参数。
研究了在Pro/E中,无侧隙双滚子包络环面蜗杆传动的三维建模方法和过程。以VC++6.0为开发平台,设计友好的用户界面,并结合Pro/E自带的二次开发工具包Pro/TOOLKIT,在Visual C++6.0环境中编译Pro/Toolkit应用程序,成功驱动实体模型,实现了无侧隙双滚子包络环面蜗杆传动的参数化设计。满足了模型精度和建模速度两方面的要求,实现了对样板模型的参数交互、再生、显示和修改。
Non-Backlash Double-Roller Enveloping Hourgass Worm Gearing consists of two parts about Double-Roller Worm Gearing and Enveloping Hourglass Worm Gearing.A study on this drive is significant in theory and valuable in practice for developing a kind of non-backlash worm gear sets with high precision and heavy load capacity.Mainly from the theoretical perspective,this dissertation investigates the meshing theory,meshing performance and digital design.The content of this research is as follows:
The structure and the work principle of this worm gearing have been introduced.According to the theories of gear meshing,a set of meshing system of the double-roller enveloping hourglass worm gearing in an ideal state is established.Using kinematics method. The meshing function of this drive and worm tooth surface equations have been deduced. And,the formulas of contacting parameters which include normal curvature,lubrication angle,rotation angle and relatively entrainment velocity are derived.
Using the software MATLAB ,a computer program has been complied. Analysing the drive's engagement performance and generating the tooth surface by the program. In order to complete these operations more convenient,a meshing engagement performance software of double-roller wormgear has been developed, which base on MATLAB GUI.The function of the software includes tooth generation, contacting-line analysis,induced normal curvature analysis,lubrication angle analysis,autorotation angle analysis and relatively entrainment velocity analysis. The software bring convenient to designer about modification and debugging and is beneficial to reasonable selection of parameters of double-roller enveloping hourglass worm gearing.
The 3D parameter model of non-backlash double-roller enveloping hourglass worm is established in Pro/E. Based on VC++6.0 and Pro/TOOLKIT-the secondary development tool of Pro/ENGINEER,the visual system of the model is established.It realizes the fuction of model parameters interaction, regeneration, display and modification.The digital model is the foundation of the worm analysis,simulation and other research works.
引文
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2.李长河,霍春明,赵华洋,换向传动齿轮副调整参数对啮合性能作用分析.机械传动,2001.25(4).
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8.(美)白金汉.威尔德哈卜(Wildharber),蜗轮传动,蜗杆传动文集.重庆大学蜗杆传动科研组编译,1976.7.
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14.沈蕴方,容尔谦等,空间啮合原理及SG-71型蜗轮副.北京工业出版社,1983.
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22.吴大任,骆家舜,齿轮啮合理论.北京:机械工业出版社,1984.
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27.边明明,圆弧面包络环面蜗杆传动研究.天津大学硕士学位论文,2007.6.
28.Yang,F.,A numerical method to obtain referable localized tooth contact for cylindrical worm gearing.Processing of the International Conference on Mechanmics in Design,Nottingham UK,1998(7):p.6-98.
29.段路茜,TI蜗杆传动啮合理论研究及优化设计.天津大学博士论文,2004.6.
30.L,L.E,Gear geometry and applied theory.The Unitied States of America:PTR Prentice Hall,1994.
31.吴大任,微分几何讲义.北京,高等教育出版社,1984.
32.吴大任,齿轮啮合理论.北京:科学出版社,1985.
33.段路茜,TI蜗杆传动啮合理论研究及优化设计.天津大学博士论文,2004.
34.张光辉,王朝晋,活动标架的应用即对Baxter诱导法曲率公式的改进.重庆大学学报,1983.2(4-15).
35.吴序堂,齿轮啮合原理[M].北京:机械工业出版社,1982.
36.张家辉,王朝晋,活动标架的应用及对Baxter诱导法曲率公式的改进.重庆大学学报,1983(2):p.4-15.
37.齐麟,张亚雄,胡松春等,蜗杆传动设计(下册).北京:机械工业出版社,1986.
38.王正林,刘明,精通MATLAB 7.电子工业出版社,2006.7.
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42.(日)佐藤中一,用平面、圆柱面及圆锥面作齿面的蜗轮的包络蜗杆的啮合性能.重庆大学蜗杆传动科研组译编,1976.7.
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45.景仁坤.基于Pro/Engineer的三维参数化设计研究与开发.武汉理工大学硕士学位论文,2005.
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48.杨青,陈东洋,胡冬梅,基于Pro/Engineer的三维零件模型的参数化设计.机械设计,2006.23(9):p.53-55.
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2.李长河,霍春明,赵华洋,换向传动齿轮副调整参数对啮合性能作用分析.机械传动,2001.25(4).
3.现代机械传动手册编辑委员会,现代机械传动手册.北京:机械工业出版社,2002.3.
4.Ted Lumpkin,T.W.,Methods and apparatus for minimizing backlash in a panetary mechanism.Patent:USA,7121973 B2.,2004.5.5.
5.Brauer,J.,Transmission error in anti-backlish conical involute gear transmission:a global-local FE approach[J].Finite Elements in Analysis and design.,2005(41).
6.钱光瑾,双导程蜗杆传动副.新技术新工艺,1983(5):p.22-25.
7.张光辉,侧隙可调式平面包络环面蜗杆传动.中国,CN99117383.X,1999.12.24.
8.(美)白金汉.威尔德哈卜(Wildharber),蜗轮传动,蜗杆传动文集.重庆大学蜗杆传动科研组编译,1976.7.
9.洪雷.无侧隙双滚子包络环面蜗杆传动的理论研究[C].西华大学硕士论文,2007.
10.濮良贵,纪名刚,机械设计(第七版).高等教育出版社,2006.4.
11.王进戈,滚锥包络环面蜗杆传动.成都:四川科学技术出版社,2000.
12.王进戈,张光辉,滚锥包络环面蜗杆传动的理论研究与参数优化.重庆大学学报,1992.15(2):p.58-64.
13.陶学恒,包络蜗杆分度凸轮机构理论与技术的研究.大连:大连理工大学,1997.
14.沈蕴方,容尔谦等,空间啮合原理及SG-71型蜗轮副.北京工业出版社,1983.
15.钱光瑾,双导程蜗杆副传动.新技术新工艺,1983(5):p.22-25.
16.(美)白汉金.威尔德哈卜(Wildharber),蜗杆传动,蜗杆传动文集,重庆大学蜗杆传动科研组译编,1967.7.
17.张光辉,侧隙可调式平面包络环面蜗杆传动.中国,CN99117383.X,1999-12-24.
18.李大庆,邓效忠,张明柱等,数控机床改造中的间隙消除问题研究.煤矿机械,2005(9):p.114-116.
19.廉仲,无侧隙齿轮减速机.机械电子,1991(3):p.36.
20.黎上威,环面蜗杆传动的类型及选择.机械工人.冷加工,1982(10).
21.王进戈,滚锥包络环面蜗杆传动.四川科学技术出版社,新疆科技卫生出版社(K),2000.
22.吴大任,骆家舜,齿轮啮合理论.北京:机械工业出版社,1984.
23.卜炎,机械传动装置设计手册(下册).北京:机械工业出版社,1998.12.
24.齿轮手册编委会,齿轮手册(上册).北京:机械工业出版社,2001.
25.沈蕴方,容尔谦,李寅年,冯德坤,空间啮合原理及SG-71型蜗轮副.冶金工业出版社,1983.3.
26.16444-1996,G.T.,平面二次包络环面蜗杆减速器系列、润滑和承载能力.
27.边明明,圆弧面包络环面蜗杆传动研究.天津大学硕士学位论文,2007.6.
28.Yang,F.,A numerical method to obtain referable localized tooth contact for cylindrical worm gearing.Processing of the International Conference on Mechanmics in Design,Nottingham UK,1998(7):p.6-98.
29.段路茜,TI蜗杆传动啮合理论研究及优化设计.天津大学博士论文,2004.6.
30.L,L.E,Gear geometry and applied theory.The Unitied States of America:PTR Prentice Hall,1994.
31.吴大任,微分几何讲义.北京,高等教育出版社,1984.
32.吴大任,齿轮啮合理论.北京:科学出版社,1985.
33.段路茜,TI蜗杆传动啮合理论研究及优化设计.天津大学博士论文,2004.
34.张光辉,王朝晋,活动标架的应用即对Baxter诱导法曲率公式的改进.重庆大学学报,1983.2(4-15).
35.吴序堂,齿轮啮合原理[M].北京:机械工业出版社,1982.
36.张家辉,王朝晋,活动标架的应用及对Baxter诱导法曲率公式的改进.重庆大学学报,1983(2):p.4-15.
37.齐麟,张亚雄,胡松春等,蜗杆传动设计(下册).北京:机械工业出版社,1986.
38.王正林,刘明,精通MATLAB 7.电子工业出版社,2006.7.
39.王巧花,叶平等,基于MATLAB的图形朋户接口(GUI)设计.煤矿机械,2005.3.
40.李显宏,MATLAB7.x界面设计与编译技巧.电子工业出版社,2006.12.
41.施晓红,周佳,精通GUI图形界面编程[M].北京:北京大学出版社,2003.
42.(日)佐藤中一,用平面、圆柱面及圆锥面作齿面的蜗轮的包络蜗杆的啮合性能.重庆大学蜗杆传动科研组译编,1976.7.
43.Sergei Azemikov,A.F.,Efficient surface reconstruction method for distributed CAD.Computer-Aided Design 36,2004:p.799-808.
44.麻连荣,基于Pro/E的圆柱齿轮减速器参数化CAD系统的研究与开发.同济大学硕士论文.2007.
45.景仁坤.基于Pro/Engineer的三维参数化设计研究与开发.武汉理工大学硕士学位论文,2005.
46.金涛,陈敏,匡继勇,Pro/Engineer软件的二次开发技术[J].昆明理工大学学报,2001.26(2):p.69-72.
47.王敏珠,金维洙,基于Pro/TOOLKIT的木工槽铣刀参数化设计.工具技术.2008.42(1).
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