Single Planetary Mechanism Teeth Matching Conditions

Abstract

Teeth matching conditions for planetary mechanism of single pin, dual pin and multiple pin planetary mechanisms are studied in details in this thesis. Single planetary mechanism teeth matching conditions include: concentric condition, homogeneity distribution condition, neighbor condition and gear ratio condition. With the increase of meshed gear pairs between sun gear and gear ring, the concentric condition will become wider and wider, while neighbor condition become stricter and stricter. Gear ratio condition is applied to check the deviation of actual and theoretical gear ratio of planetary mechanism under the teeth matching condition. If the deviation is large, adjustment could be made by revising structural parameters and number of planetary gear pairs participating in the meshing. Homogeneity distribution condition is most easily ignored, thus enough attention should be paid to it. In this thesis, the angle expression of planetary mechanism when each component is not interfered and homogeneously distributed is inputted its rotation speed equation, and after deduction, the homogeneity distribution condition is gained for various single planetary mechanisms, which will provide reference for engineers.