| 空间共轭啮合齿面间的法曲率和短程挠率的关系及其应用 |
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| 引用本文： | 武宝林.空间共轭啮合齿面间的法曲率和短程挠率的关系及其应用[J].天津工业大学学报,2005,24(1):44-47. |
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| 作者姓名： | 武宝林 |
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| 作者单位： | 天津工业大学机械电子学院,天津,300160 |
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| 基金项目： | 天津市高等学校科技发展基金资助项目(20030703) |
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| 摘 要： | 基于微分几何和齿轮啮合理论,分析了共轭啮合齿面间的一系列几何关系,从而揭示了两个作空间共轭啮合运动的齿面之间的法曲率、短程挠率的内在几何联系.作为上述理论的具体应用,研究了准双曲面齿轮传动两齿面之间在给定参考点处的法曲率、短程挠率的关系.
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| 关 键 词： | 齿轮传动 法曲率 短程挠率 准双曲面齿轮传动 |
| 文章编号： | 1671-024X(2005)01-0044-04 |
| 修稿时间： | 2004年11月8日 |
Relationships between normal curvature and geodesic torsion of conjugate surfaces of gearing tooth in three dimension space and its application |
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| WU Bao-lin.Relationships between normal curvature and geodesic torsion of conjugate surfaces of gearing tooth in three dimension space and its application[J].Journal of Tianjin Polytechnic University,2005,24(1):44-47. |
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| Authors: | WU Bao-lin |
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| Abstract: | Based on the theory of gearing and differential geometry, a series of geometric relationships between conjugate tooth surfaces are analyzed, basic relationships of normal curvature as well as geodesic torsion between conjugate tooth surfaces are derived mathematically for the most general form of gearing. In addition, as an application of the theory mentioned above, the relationships of normal curvature and geodesic torsion between tooth surfaces of hypoid gearing at given reference meshing point are analyzed. |
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