Affiliation:
1. The State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing, PR China
Abstract
This paper aims at obtaining the mathematical model of the general spiral bevel gears of local bearing contact from spatial conjugate curve theory. Differential geometry and gearing kinematics are introduced to derive this model. Meshing-correctly conditions are set in the theoretical derivation process. The final model is represented in the form of equations and inequalities. According to the arguments in this paper, a process of designing the tooth surface of spiral bevel gears of local bearing is proposed. Based on this process, the numerical example of a pair of these gears with specific profiles is represented by applying the finite element analysis. Results show that the magnitudes of the deviations between theoretical contact points and real contact points are small. Therefore, the results agree with the mathematical model of the spiral bevel gears of local bearing contact in this paper.
Cited by
3 articles.
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1. An analytical framework of the kinematic geometry for general point-contact gears from contact path;Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science;2022-02-28
2. Design of pure rolling line gear mechanisms for arbitrary intersecting shafts;Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science;2019-04-16
3. Nonrelative sliding of spiral bevel gear mechanism based on active design of meshing line;Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science;2018-04-04