Abstract
Dynamic processes in speed changes control device with differential gear transmission and closed loop hydraulic system have been considered and investigated for the case when the sun gear is a control link, carrier is a driving link and the ring gear is driven. The motion of the system has been modeled in a formalized form using the Lagrange’s equation of the second kind. For this purpose, the expression for the energy of such speed changes control device has been derived. Then, based on the Lagrange’s equation of second kind, a system of differential equations for the motion of the links has been obtained and solved. The solution of the system of equations of dynamics of such devices is the basis for further computer simulation and quantitative analysis in order to evaluate the operation of such devices and to select the necessary closed loop hydraulic system to control changes in speed, when the load changes periodically over a long time; or when the magnitude of the shock load after a sharp increase remains unchanged for either a long time or a small time; or the actuator stops immediately because of a significant overload.
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