Abstract
As a result of the inadequate carrying capacity and poor meshing performance of gears with a few teeth, the reasonable and optimal choice of parameters is a key step in design. Aiming at this problem, the stress equation for gear pairs with a few teeth was derived and it is discovered that the main failure mode of gears with a few teeth is pitting on contacting surface. At the same time, the results of theoretic analysis were also verified by strength test. A new optimization method of parameters which aimed at minimizing the contact stress was presented based on equal bending fatigue life at the tooth root of pinion and gear. The equation was solved by the genetic algorithm and reasonable design parameters are obtained. Tooth contact analysis based on finite element method is carried out and the results demonstrated that the method presented was an effective way to enhance the carrying capacity and meshing performance of gear pair with a few teeth. The study in this article laid a solid foundation for the further promotion of gear transmission with a few teeth.
Highlights
The teeth number of gear with a few teeth is 2 to 6
I Akira and Y Hidehiro[1] studied the radial modification of gear pair and it showed that over large radial modification coefficient would lead to pointed teeth, short tooth height, and small contact ratio which have a great effect on its carrying capacity
The results show that the bearing capacity and the meshing performance of gear pair with a few teeth have been greatly improved after the optimization
Summary
The teeth number of gear with a few teeth is 2 to 6. Based on theoretical analysis and experimental verification, the main failure mode of gear transmission with a few teeth was analyzed and the design method of tooth profile and the check theory of gear pair with a few teeth were studied in this article. To calculate bending stress of involute gear pair with a few teeth, the effect of pointed teeth and tangential modification on pinion should be considered and the traditional equations for designing and calculating should be modified as well. Based on the analysis in chapter of strength analysis of gear pair with a few teeth, an optimal design that strikes a balance of tooth bending fatigue life between pinion and gear and reduces the contact stress is proposed in this article. With reasonable choice of design parameters, the bearing capacity and meshing performance of gear pair with a few teeth are improved.[15,16,17]
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