About the Gear Efficiency to a Simple Planetary Train

Synthesis of classical planetary mechanisms is usually based on kinematic relations, considering the achieved transmission ratio input-output. The planetary mechanisms are less synthesized based on their mechanical efficiency which is developed during operation, although this criterion is part of the real dynamics of mechanisms and also the most important criterion in terms of performance of a mechanism. Even when the efficiency criterion is considered, the determination of the planetary yield is made only with approximate relationships. The most widely recognized method is one method of Russian school of mechanisms. This paper will determine the method to calculate the mechanical efficiency of a planetary mechanism. The model will resolve one important problem of the dynamics of planetary mechanisms.