To the numerical estimation of the highest tension of the mine hoisting rope at the load suspension point at uniform drum rotation

Abstract

The numerical evaluation of rope tension is of great practical importance, but is far from being fully completed. In the present work an attempt is made to estimate the rope tension at the load suspension point during the period of uniform drum rotation, provided that this period was preceded by a period of uniformly accelerated drum rotation, accompanied from the very beginning of the load lifting by oscillatory motion of the system. Due to the action of internal resistance forces, these oscillations will be damped, and by the end of the period of uniformly accelerated drum rotation, all points of the vertical part of the rope and the load will receive the same acceleration, equal to the tangential” acceleration of the points of the drum surface. At the beginning of uniform rotation of the drum due to the change of the rotation mode the oscillations of the system are resumed and the forces of internal resistances are again manifested. However, they can be disregarded if we consider the motion of the system in a time interval close to the initial time.