Dynamic model of speed control through ring gears in a device with a multistage gear differentials and closed-loop hydraulic systems

Abstract

The dynamic processes in the device for speed control with multistage gear differential and closed-loop hydraulic systems through ring gears have been studied for case when the leading link is the sun gear of the first stage, and the driven is a carrier of the last stage. For such a device, the equation of kinetic energy has been compiled and the dynamics equations have been obtained by the Lagrange method, which have been solved. The obtained results are the basis for further computer simulation on and quantitative analysis to assess the performance of such devices and select the necessary closed-loop hydraulic systems to control speed changes.