How to calculate the gear bearing capacity of planetary reducer, compared with ordinary cylindrical gear reducer and worm gear reducer, involute planetary reducer with small tooth difference has the advantages of small volume, light weight, large transmission ratio, high efficiency, large bearing capacity, reliable operation and long service life; Compared with cycloid pin gear planetary reducer, in addition to the above advantages, in terms of processing, the universal cutter can be used in the universal gear processing machine, so it has the advantage of low cost. What about the carrying capacity? In this paper, the finite element method is used to analyze and discuss the gear bearing capacity of planetary reducer with two tooth difference.

Gear measurement and calculation

Planetary reducer with small tooth difference is an internal meshing transmission. It is generally believed that a pair of meshing tooth surfaces are convex tooth surface and concave tooth surface respectively. The curvature centers of the two surfaces are on the same side of the tooth surface, the concave direction of the tooth surface is the same, the difference of curvature radius is very small, and the contact deformation results in large contact area. Therefore, the contact stress is greatly reduced and the contact strength is correspondingly increased. At the same time, the bending stress can be reduced by reducing the addendum height, so as to improve the bending strength. In addition, due to the small tooth difference, there are many pairs of small clearance tooth surfaces close to the meshing around the theoretical meshing point, and the small deformation caused by the force on the teeth makes these small clearances disappear, resulting in the contact between these pairs of tooth surfaces, so they also enter the meshing state: if this judgment is in line with the actual situation, then there will be many pairs of teeth meshing at the same time, Obviously, it can greatly reduce the transmission impact, make the operation more stable and noise less. In addition, when the modulus is the same, the transmission capacity should be significantly improved compared with the ordinary external cylindrical gear reducer: the judgment has been confirmed by the application examples in engineering practice.

gear

The value of involute planetary reducer with small tooth difference lies in the fact that the smaller module transmits the larger power. However, the key is how to determine the bearing capacity of multi tooth meshing compared with one tooth meshing. To sum up, the purpose of improving the bearing capacity is due to the engagement of many pairs of gear teeth. It is a statically indeterminate problem that how to divide the force distribution of each pair of teeth. Therefore, the traditional algorithm has to calculate according to a pair of teeth. Although many factors such as tooth profile are fully considered, it is impossible to consider the changes caused by multi tooth meshing. Therefore, the calculation results are largely conservative, and the bearing potential of multi tooth meshing can not be developed. Using the finite element analysis software cosmosdesign-star to calculate can solve this problem well: This paper mainly introduces the finite element method, by comparing the load-bearing capacity of a pair of teeth meshing and multiple pairs of teeth meshing when the maximum stress is equal, to explain the difference of the load-bearing capacity of the planetary reducer with two teeth difference calculated by one pair of teeth meshing and multiple pairs of teeth meshing respectively.