Journal
MECHANISM AND MACHINE THEORY
Volume 43, Issue 12, Pages 1543-1556Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechmachtheory.2007.12.007
Keywords
gear drive; cosine gear; tooth profile; meshing theory; mathematical model
Categories
Funding
- National Natural Science Foundation of China [50575071]
- Provincial Natural Science Foundation of Hunan [06JJ10008]
- Program for New Century Excellent Talents in University
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A novel cosine gear drive is presented in this paper. The pinion of the drive utilizes a cosine curve as the tooth pro. le. It takes the zero line of the cosine curve as the pitch circle, a period of the curve as a tooth space, and the amplitude of the curve as the tooth addendum. The generation principle of the cosine gear is described. The mathematical models, including the equation of the cosine tooth pro. le, the equation of the conjugate tooth pro. le and the equation of the line of action, are established based on the meshing theory. An example drive in solid model is presented and its computerized simulation is carried out. A few characteristics, such as the contact and bending stresses, the sliding coefficient and the contact ratio, of this new drive are analyzed. A comparison study of these characteristics with the involute gear drive was also carried out in this work. The results confirm that the cosine gear drive has lower sliding coefficients and the contact and bending stresses of the cosine gear are reduced in comparison with the involute gear. (C) 2008 Elsevier Ltd. All rights reserved.
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