On the synthesis of planetary gear trains,it is very important to know the relation between the number of planets and the limiting ratio considering the three geometric constraints: the same central, assembly and abjacent conditions,this paper has derived the expression of the number of planets and the limiting ratio via uniform symbols which is suitable for all the six type of planetary gear trains,and obtained the formula to evaluate the limiting ratio.
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杨昂岳,李栋成.2K-H 行星传动的极限传动比[J].国防科技大学学报,1994,16(2):15-23. Yang Angyue, Li Dongcheng. Survey on the Limiting Transmission Ratio of 2K-H Planetary Gear Trains[J]. Journal of National University of Defense Technology,1994,16(2):15-23.