Abstract
This paper proposes a cosine gear drive provided with a pair of cosine gears which are generated by a cosine rack cutter. Based on the coordinate transformation theory and the theory of gearing, a mathematical model of tooth geometry of the cosine gear drive is developed. The condition of undercutting for the cosine gear generated by a cosine rack cutter is established to determine the minimum number of teeth of non-undercutting. An analytic mathematical model for evaluating contact ratio of the cosine gear drive is built. A cause-and-effect analysis for contact ratio is executed under considering gear module, gear ratio, addendum coefficient, and dedendum coefficient as causes. Results of the analysis show that gear module does not affect contact ratio at all but the other causes do affect contact ratio. The proposed cosine gear drive is able to reduce the size of gear box since the minimum number of teeth of non-undercutting is only 6. Furthermore, the production cost and production lead time of the proposed cosine gear drive are low because it can be manufactured efficiently and economically by regular hobbing machines. The use of CNC machines is not necessary.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call