Gear geometry of cycloid drives |
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Authors: | BingKui Chen TingTing Fang ChaoYang Li ShuYan Wang |
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Affiliation: | (1) State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing, 400044, China |
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Abstract: | According to differential geometry and gear geometry, the equation of meshing for small teeth difference planetary gearing
and a universal equation of conjugated profile are established based on cylindrical pin tooth and given motion. The correct
meshing condition, contact line, contact ratio, calculating method for pin tooth’s maximum contact point are developed. Investigation
on the theory of conjugated meshing is carried out when the tooth difference numbers between pin wheel and cycloidal gear
are 1, 2, 3 and −1, respectively. A general method called enveloping method to generate hypocycloid and epicycloid is put
forward. The correct meshing condition for cycloid pin wheel gearing is provided, and the contact line and the contact ratio
are also discussed.
Supported by the National Science and Technology Supporting Program (Grant No. No. 2006BAF01B08) and Chongqing Science and
Technology Key Task (Grant No. CSCT2006AA3010-6) |
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Keywords: | pin wheel cycloid conjugated profile equation of meshing enveloping method contact ratio contact line |
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