Transmission Mode for Curve-face Gear Pair

doi:10.3901/JME.2018.05.008

Abstract

Abstract: Curve-face gear pair is a new type of spatial noncircular gear mechanism based on the noncircular gear, noncircular bevel gear and face gear. Aiming at the diversification of this gear pair transmission mode, which results in the lack of unified design theory and method, the transmission principles of curve-face gear are discussed by the motion rules of cylindrical end cam mechanism with reciprocating follower and cylindrical roller, and the general expressions of the transmission ratio, movement speed and rotational speed of the gear pair are established. The transmission ratio, addendum and dedendum curve, tooth distribution rule, minimum tooth number of cutting tool and maximum tooth width of curve-face gear are designed by setting the displacement rule of reciprocating follower. Based on the meshing theory, combined with the tooth surface equation and virtual simulation technology, a general design method for curve-face gear is proposed. The transmission patterns, kinematic characteristics and tooth width variation rules of four types of curve-face gear pairs are analyzed, and the related experiments are conducted to verify the correctness of the above design method. This design method can be applied to the arbitrary displacement curve and the arbitrary eccentric distance, and realize the general and parametric design of curve-face gear pair.

Key words: curve-face gear, design guideline, tooth profile, transmission model

CLC Number:

TH132

LIN Chao, CAI Zhiqin, WU Xiaoyong, ZHU Caichao. Transmission Mode for Curve-face Gear Pair[J]. Journal of Mechanical Engineering, 2018, 54(5): 8-18.

References

[1] 吴序堂,王贵海. 非圆齿轮传动及其应用[J]. 机械设计,1995(7):39-42. WU Xutang,WANG Guihai. Noncircular gear transmission and application[J]. Mechanical Design,1995(7):39-42.
[2] 郭承志,符炜. 急回机构中非圆齿轮节曲线的设计[J]. 机械工程学报,2005,41(11):221-227. GUO Chengzhi,FU Wei. Design of the pitch curves of noncircular gears for quick return mechanism[J]. Journal of Mechanical Engineering,2005,41(11):221-227.
[3] 贾巨民,高波,赵德龙. 基于保测地曲率映射的非圆锥齿轮传动设计分析方法[J]. 机械工程学报,2008,44(4):53-57. JIA Jumin,GAO Bo,ZHAO Delong. Analysis method for noncircular bevel gearing based on geodesic curvature preserving mapping[J]. Chinese Journal of Mechanical Engineering,2008,44(4):53-57.
[4] LIN C,GONG H. Geometry design,three-dimensional modeling and kinematic analysis of orthogonal fluctuating gear ratio face gear drive[J]. Proceedings of the Institution of Mechanical Engineers Part C:Journal of Mechanical Engineering Science,2013,227(4):779-793.
[5] 林超,张雷,张志华. 一种新型非圆锥齿轮副的传动原理及其齿面求解[J]. 机械工程学报,2014,50(13):66-72. LIN Chao,ZHANG Lei,ZHANG Zhihua. Transmission theory and tooth surface solution of a new type of non-circular bevel gears[J]. Journal of Mechanical Engineering,2014,50(13):66-72.
[6] LIN C,LIU Y. Characteristic analysis and application of composite motion curve-face gear pair[J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering,2016,38(6):1797-1804.
[7] 刘大伟,任廷志. 由补偿法构建封闭非圆齿轮节曲线[J]. 机械工程学报,2011,47(13):147-152. LIU Dawei,REN Tingzhi. Creating pitch curve of closed noncircular gear by compensation method[J]. Journal of Mechanical Engineering,2011,47(13):147-152.
[8] 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 Yongping,WU Xutang,LI Heqi. 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.
[9] 林菁. 基于啮合角函数的非圆齿轮齿廓求解及几何特性研究[J]. 机械传动,2004,28(3):6-9. LIN Jing. Direct-profile-design method for generating noncircular gear pairs[J]. Journal of Northeastern University,2003,24(9):847-850.
[10] TSAY M F,FONG Z H. Study on the generalized mathematical model of noncircular gears[J]. Mathematical & Computer Modelling,2005,41(4-5):555-569.
[11] XIA Jiqiang. Noncircular bevel gear transmission with intersecting axes[J]. Journal of Mechanical Design,2008,130(5):680-682.
[12] 李建刚,吴序堂. 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 Jiangang,WU Xutang. Numerical computation of tooth profile of noncircular gear[J]. Journal of Xi'an Jiaotong University,2005,39(1):75-78.
[13] 童婷,郑方炎. 基于齿廓法线的非圆齿轮齿廓数值算法[J]. 武汉理工大学学报,2013,37(3):652-654. TONG Ting,ZHENG Fangyan. Non-circular gear teeth profile numeric method based on normal tooth profile[J]. Journal of Wuhan University of Technology,2013,37(3):652-654.
[14] 林超,侯玉杰,龚海,等. 高阶变性椭圆锥齿轮传动模式设计与分析[J]. 机械工程学报,2011,47(13):131-139. LIN Chao,HOU Yujie,GONG Hai,et al. Design and analysis of transmission mode for high-order deformed elliptic bevel gears[J]. Journal of Mechanical Engineering,2011,47(13):131-139.
[15] MATHIJSSEN G,FURNÉMONT R,BECKERS S,et al. Cylindrical cam mechanism for unlimited subsequent spring recruitment in series-parallel elastic actuators[C]//IEEE International Conference on Robotics and Automation. IEEE,May 26-30,2015,Washington State Convention Center,Seattle,Washington,USA. Washington:IEEE International Conference on Robotics & Automation,2015:857-862.