Investigation of the energy effectiveness of multistage differential gears when the speed is changed by the carrier

The energy effectiveness of the multistage gear differential in the device for speed change by carrier has been investigated with the determination of the efficiency. Considering complexity of the problem, the analytical methods of efficiency determining for two- and three-stage differential gears have been obtained and proposed using the potential power method, when the driving link is the first-stage sun gear, the driven link is the ring gear of the last stage or vice versa, and the links of the speed change control are the carriers of the individual stages. With the help of computer modeling of analytical expressions, graphical dependences of efficiency from the ratio of the multistage differential gear and the angular velocity of the control link - the carrier, have been obtained. The results obtained have practical application for the design of new devices by means of energy effectiveness, allow to evaluate the operation of multistage differential gears from the point of view of self-breaking and are of assistance for further research.