NUST MISIS, Moscow, Russia:

A. A. Grabsky, Professor, Doctor of Engineering Sciences

L. I. Kantovich, Professor, Doctor of Engineering Sciences

Kalashnikov Izhevsk State Technical University, Izhevsk, Russia:
F. I. Plekhanov, Professor, Doctor of Engineering Sciences, fplehanov@list.ru
I. A. Pushkarev, Post-Graduate Student

Mechanical drives based on planetary gear trains find the increasingly wider application recently owing to such advantages as high loading capability, convenient weight and size and low loss of power in friction. Out of a variety of planetary gears, the most commonly used are multi-satellite structures (planetary mechanisms of James). In a two-stage mechanism, satellites of the most loaded low-speed stage are better to arrange in two rows. Excess links in such structures result in the nonuniform load distribution in gearing of wheels and impair effectiveness of multithreading. On the other hand, compliance of the elements of a planetary gear train (especially cantilever shafts) contributes to the load leveling. The currently available calculation methods off er approximated estimation of satellite axis compliance, without regard to its deformation at the interface with the carrier gear, or to distribution of load in gears with two-row satellites. In the studies of satellite axis compliance at the places of its junction with the carrier gear, the axis was assumed as a beam put on an elastic basis. The load unbalance factors in gearing were determined by solving equations of displacement compatibility, including compliance of gearing mechanism elements (sun gear, wheel teeth, axis and bearing of satellite, carrier gear) and initial mismatch of teeth. The calculations show that at the rational parameters of a planetary gear and its average manufacture accuracy the load unbalance factors in gearings are not higher than 1.5.

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