| 引用本文: | 潘存云,温熙森.渐开线球齿轮齿廓曲面方程的推导.[J].国防科技大学学报,2004,26(4):93-98.[点击复制] |
| PAN Cunyun,WEN Xisen.Profile Formule Derivation of the Involute Spherical Gears[J].Journal of National University of Defense Technology,2004,26(4):93-98[点击复制] |
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| 渐开线球齿轮齿廓曲面方程的推导 |
| 潘存云, 温熙森 |
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(国防科技大学 机电工程与自动化学院，湖南 长沙 410073)
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| 摘要: |
| 介绍了一种新发明的球齿轮机构，建立了新型球齿轮齿廓曲面的参数方程。推导了渐开线齿廓曲线的通用表达式，对其进行旋转变换得到了球齿轮机构中齿轮的环形齿面方程。利用双自由度啮合理论，进一步推导出新型球齿轮的啮合方程，最后推导出渐开线球齿轮共轭齿廓曲面方程。理论结果证明了渐开线环面齿廓的共轭齿廓曲面仍然是渐开线环形曲面。 |
| 关键词: 机构学 球齿轮传动 渐开线 齿面方程 |
| DOI： |
| 投稿日期：2003-10-20 |
| 基金项目:国家自然科学基金资助项目(59675063、59275159) |
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| Profile Formule Derivation of the Involute Spherical Gears |
| PAN Cunyun, WEN Xisen |
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(College of Mechatronics Engineering and Automation, National Univ.of Defense Technology, Changsha 410073,China)
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| Abstract: |
| A new spherical gear mechanism is intruduced. Surface formule of the new mechanism is deduced. This paper first deduces the general formules of involute, and transfoming these formulas by rotation matraix, the surface formule of the new spherical gear has been found. Based on the theory of double degree freedom, the action formule of the two spherical gears is deduced, and futhermore, the surface formule of the conjugate teeth profiles is deduced as well. The results proves that the conjugate teeth profile of the ringed involute spherical gear is also the profile of the ringed involute spherical gear. |
| Keywords: mechanism spherical gear transmission involute surface formule |
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