Research on Contact Ratio of S-shaped Tooth Profile Gears
-
摘要: 重合度是影响齿轮传动啮合性能的主要因素,是判断齿轮传动连续性及传递载荷均匀性的关键指标。S型齿廓曲线齿轮是基于提高齿轮接触强度而提出的一种新型齿廓曲线齿轮,为进一步探究其啮合性能,推导了S型齿廓曲线齿轮传动的重合度计算公式,讨论了S型齿廓曲线齿轮的重合度随齿数、模数、分度圆压力角及衍生系数之间的变化规律,并与相同基本设计参数下的渐开线少齿数齿轮作了对比分析。结果表明,S型齿廓曲线齿轮的重合度较同参数的渐开线齿轮有较大优势。Abstract: Contact ratio is a main factor to influence meshing performance of gear transmission, and it is also a key index to judge continuity and load distribution of gear transmission. Gear with S-shaped tooth profile is developed as a new tooth profile of gear so as to enhance contact strength of gear. In order to further study on it, the formula is deduced to calculate the contact ratio of gear transmission with S-shaped tooth profile, and the change law in contact ratio is discussed varying with the number of teeth, modulus, pressure angle, and derivative coefficient, which is comparing with the involute gear with small number of teeth under the same design parameters. And the results show that the gear with S-shaped tooth profile has a large advantage in contact ratio comparing with the involute gear under the same parameters.
-
Key words:
- S-shaped tooth profile /
- gear /
- contact ratio
-
[1] 余以道,王建,罗善明,等.新型余弦齿轮传动的重合度分析[J].湖南科技大学学报(自然科学版),2007,22(1):38-41 Yu Y D, Wang J, Luo S M, et al. Study on the contact ratio of a cosine gear drive[J]. Journal of Hunan University of Science & Technology(Natural Science Edition), 2007,22(1):38-41(in Chinese) [2] Wu Y C, Chen K Y, Tsay C B, et al. Contact characteristics of circular-arc curvilinear tooth gear drives[J]. Journal of Mechanical Design, 2009,131(8):081003 [3] Wang J, Hou L, Luo S M. The generation principle and mathematical models of a novel spherical gear drive[J]. Advanced Materials Research, 2012,479-481:1421-1428 [4] 张瑞亮,树学锋,王铁,等.双圆弧弧齿锥齿轮重合度研究[J].机械传动,2013,37(2):17-20 Zhang R L, Shu X F, Wang T, et al. Research on contact ratio of double circular arc profile spiral bevel gear[J]. Journal of Mechanical Transmission, 2013,37(2):17-20(in Chinese) [5] Zhang G H, Xu H B, Long H. Double involute gear with ladder shape of tooth[J]. Chinese Journal of Mechanical Engineering, 1995,31(6):47-52 [6] 孙月海,孙强.一种新型齿轮加工刀具:中国, CN201420706368.5[P].2015-08-26 Sun Y H, Sun Q. Novel gear machining cutter:China, CN201420706368.5[P]. 2015-08-26(in Chinese) [7] 谭伟明.正弦齿条所生成的齿轮副的重合度[J].兰州理工大学学报,2006,32(1):42-44 Tan W M. Contact ratio of paired gears generated with sinusoidal rack[J]. Journal of Lanzhou University of Technology, 2006,32(1):42-44(in Chinese) [8] 孙月海,刘彦峰,段路茜,等.等弯曲强度条件下渐开线少齿数齿轮副的变位[J].天津大学学报(自然科学与工程技术版),2014,47(11):1001-1007 Sun Y H, Liu Y F, Duan L Q, et al. Modification of involute gear pair with fewer teeth based on equal bending strength[J]. Journal of Tianjin University(Science and Technology), 2014,47(11):1001-1007(in Chinese) [9] 孙桓,陈作模,葛文杰.机械原理[M].7版.北京:高等教育出版社,2006 Sun H, Chen Z M, Ge W J. Theory of machines and mechanisms[M]. 7th ed. Beijing:Higher Education Press, 2006(in Chinese) [10] 谭伟明.齿轮副端面重合度统一定义及其计算式[J].机械传动,2005,29(6):40-42 Tan W M. Common definition and calculation formula of transerse contact ratio for gear pair[J]. Journal of Mechanical Transmission, 2005,29(6):40-42(in Chinese) [11] 孙月海,孙强.一种具有新型廓线的齿轮;中国,ZL201420706863.6[P].2015-08-19 Sun Y H, Sun Q. Gear with a new tooth profile:China, ZL201420706863.6[P]. 2015-08-19(in Chinese) [12] 吴序堂.齿轮啮合原理[M].2版.西安:西安交通大学出版社,2009 Wu X T. Theory of gearing[M]. 2nd ed. Xi'an:Xi'an Jiaotong University Press, 2009(in Chinese) [13] 张德丰.MATLAB数值计算方法[M].北京:机械工业出版社,2010 Zhang D F. MATLAB numerical calculation method[M]. Beijing:China Machine Press, 2010(in Chinese) [14] 孙强,孙月海.S型齿廓少齿数齿轮的几何建模与强度分析[J].天津大学学报(自然科学与工程技术版),2016,49(7):702-708 Sun Q, Sun Y H. Geometric modeling and strength analysis of gear with s-shaped tooth profile and small number of teeth[J]. Journal of Tianjin University(Science and Technology), 2016,49(7):702-708(in Chinese) [15] 齿轮手册编委会.齿轮手册[M].北京:机械工业出版社,2004 Gear Manual Editing Committee. Gear manual[M]. Beijing:China Machine Press, 2004(in Chinese)
点击查看大图
计量
- 文章访问数: 318
- HTML全文浏览量: 38
- PDF下载量: 13
- 被引次数: 0