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渐开线斜齿轮综合曲率半径的解析推导 被引量:1

Analytic Deduction of the Synthetic Curvature Radius of Involute Helical Gears
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摘要 基于微分几何理论,导出并解析证明了渐开线斜齿轮啮合点处的综合曲率半径公式,为齿轮啮合理论的进一步研究打下基础。 On the basis of the differential geometry theory,th e synthetic curvature radius expression of meshing point of helical gears is de rived and proved analytically.It provides a basis for the further research of the theory of gearing.
出处 《山东科技大学学报(自然科学版)》 CAS 2000年第4期31-33,共3页 Journal of Shandong University of Science and Technology(Natural Science)
关键词 渐开线 斜齿圆柱齿轮 曲率半径 啮合理论 involute helical cylindrical gear curvature radius
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  • 1马振群,王小椿,沈兵.对称弧形齿线圆柱齿轮的真实齿面接触分析研究[J].西安交通大学学报,2005,39(7):722-725. 被引量:23
  • 2朱孝录.齿轮传动设计手册[M].2版.北京:化学工业出版社,2010:48.
  • 3LITVIN F L, FUENTES A. Gear geometry and ap- plied theory [M]. New York, USA: Cambridge Uni versity Press, 2004: 97-118.
  • 4DOONER D B, GRIFFIS M W. On spatial Euler- Savary equations for envelopes [J]. Journal of Me- chanical Design, 2007, 129(8): 865-875.
  • 5CHEN Yangzhi, XIANG Xiaoyong, LUO Liang. A corrected equation of space curve meshing [J]. Mecha- nism and Machine Theory, 2009, 44(7): 1348-1359.
  • 6LUO Shanming, WU Yue, WANG Jian. The genera- tion principle and mathematical models of a novel co sine gear drive [J]. Mechanism and Machine Theory, 2008, 43(12): 1543-1556.
  • 7CHEN Bingkui, LIANG Dong, LI Zhaoyang. A study on geometry design of spiral bevel gears based on con- jugate curves [J]. International Journal of Precision Engineering and Manufacturing, 2014, 15 (3) : 477- 482.
  • 8LIANG Dong, CHEN Bingkui, GAO Yane. The gen- eration principle and mathematical model of involute- helix gear transmission [J]. Proceedings of the Insti- tution of Mechanical Engineers: Part C Journal of Mechanical Engineering Science, 2013, 227 (12): 2834-2843.
  • 9MICHLIN Y, MYUNSTER V. Determination of power losses in gear transmissions with rolling and sliding friction incorporated [J]. Mechanism and Ma- chine Theory, 2002, 37(2): 167-174.
  • 10赵宁,郭辉,方宗德,魏冰阳.直齿面齿轮修形及承载接触分析[J].航空动力学报,2008,23(11):2142-2146. 被引量:40

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