About the dynamic of mechanical non-holonomic systems

Abstract

In this paper an example of the dynamic analysis of speed variators which contain planetary conic elements is given. With the change of contact point positions of two conic elements the transmission relation in the regulation system is varried. The dynamical analysis is made by Appell's equations for non-holonomic systems. The non-holonomic connection wich is given by the transmision relation of the variators is characteristic for this mechanical system. By solving the system of differential equations on a computer the change of kinematic parameters of the non-holonomic system is described.