At the operation of mine winders in deep shafts considerable oscillations of winding ropes may occur due to elasticity of both wind- ing and balance ropes. The amplitudes of longitudinal oscillations may reach + lm at relatively low frequencies, ranging from 0.5 to 2 c/s._x000D_
These oscillations may be dangereus for the rope and produce several hazards to the winding installation as a whole. They may cause conside- rable instant accelerations on the pulley and dangerous tensions in ro- pe wires. The excessive acceleration may cause the uncontrolled rope slip on the pulley. Several methods of limitation of these accelera- tions were developed, some of them have been already in control system: of electric drive of the winder. The most simple ones are: a/ limita- tion of the rate of change of acceleration and retardation of the win- der /so called "jerk"/ and b/ the proper selection of regulators of the winder control system to get the optimal control. The trouble in solv- ing the problem of rope oscillations is that the dynamic system of the winder is a nonstationaryone owing to changing distance of conveyance from the pulley. Besides, the system is described by the equations with distributed parameters. The brief discussion of the theory and its practical aspects are enclosed as well.