This paper uses the theory of gearing to derive the mathematical model of an internal cycloidal gear with tooth difference. Whereas the outer rotor profile is based on a curve equidistant to a hypotrochoidal (or extended hypocycloid) curve, the inner rotor design generally depends upon type of use—e.g., when used as a speed reducer, it is a pin wheel. Therefore, this analysis proposes designs for both a gerotor and a speed reducer. Specifically, for an inner rotor used as a gerotor pump, it outlines a mathematical model to improve pump efficiency and derives a dimensionless equation of nonundercutting. For the speed reducer, it develops and demonstrates with numerical examples, a feasible design region without undercutting on the tooth profile or interference between the adjacent pins.
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e-mail: imeywh@ccu.edu.tw
e-mail: d9143002@ccu.edu.tw
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April 2007
Research Papers
Geometric Design Using Hypotrochoid and Nonundercutting Conditions for an Internal Cycloidal Gear
Yii-Wen Hwang,
Yii-Wen Hwang
Department of Mechanical Engineering,
e-mail: imeywh@ccu.edu.tw
National Chung-Cheng University
, 168 San-Hsing, Ming-Hsiung, Chia-Yi 621, Taiwan, R.O.C.
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Chiu-Fan Hsieh
Chiu-Fan Hsieh
Department of Mechanical Engineering,
e-mail: d9143002@ccu.edu.tw
National Chung-Cheng University
, 168 San-Hsing, Ming-Hsiung, Chia-Yi 621, Taiwan, R.O.C.
Search for other works by this author on:
Yii-Wen Hwang
Department of Mechanical Engineering,
National Chung-Cheng University
, 168 San-Hsing, Ming-Hsiung, Chia-Yi 621, Taiwan, R.O.C.e-mail: imeywh@ccu.edu.tw
Chiu-Fan Hsieh
Department of Mechanical Engineering,
National Chung-Cheng University
, 168 San-Hsing, Ming-Hsiung, Chia-Yi 621, Taiwan, R.O.C.e-mail: d9143002@ccu.edu.tw
J. Mech. Des. Apr 2007, 129(4): 413-420 (8 pages)
Published Online: April 22, 2006
Article history
Received:
November 24, 2005
Revised:
April 22, 2006
Citation
Hwang, Y., and Hsieh, C. (April 22, 2006). "Geometric Design Using Hypotrochoid and Nonundercutting Conditions for an Internal Cycloidal Gear." ASME. J. Mech. Des. April 2007; 129(4): 413–420. https://doi.org/10.1115/1.2437806
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