渐开线曲率分析及其在齿轮啮合分析中的应用
With mathematical theory of differential geometry,the curvature of involute curve is scientifically researched.It is indicated that the involute curvature radius has quantitative relation with polar radius and pressure angle,and the involute curvature center has corresponding connection with base ci...
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| Published in | Jixie Chuandong Vol. 35; pp. 1 - 3 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | Chinese |
| Published |
Editorial Office of Journal of Mechanical Transmission
01.01.2011
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| Online Access | Get full text |
| ISSN | 1004-2539 |
| DOI | 10.3969/j.issn.1004-2539.2011.03.001 |
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| Summary: | With mathematical theory of differential geometry,the curvature of involute curve is scientifically researched.It is indicated that the involute curvature radius has quantitative relation with polar radius and pressure angle,and the involute curvature center has corresponding connection with base circle.The pressure angle and curvature radius are quantitatively calculated,and their distribution along the involute tooth profile curve are given.Based on the analysis of involute curvature,the method of substituting lower pair for higher pair is used to analyze gear tooth mesh mechanism.The analysis of transmission ratio accord with traditional theory about gear transmission.It poves that the analysis of involute curvature is correct and practical.Furthermore,the analysis of involute curvature has theoretical guidance meaning for deep research of gear mesh,innovative design of gear tooth profile and development of tooth profile modification machining technology,and it is significant for innovative research and de |
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| ISSN: | 1004-2539 |
| DOI: | 10.3969/j.issn.1004-2539.2011.03.001 |