Dynamics of lifting installation with regard to the elasticity of the rope

Abstract

The analysis of literature sources on the study of the dynamic approach to the theory of
calculation of lifting ropes is carried out. First, a rope with distributed mass was considered when
the upper end was suddenly stopped as a flexible elastic thread with a load at the end; Later lifting
equipment led to multi-mass mechanical systems with weightless elastic links
The designs of mine hoisting installations, their design dynamic schemes with and without
considering the elasticity of the lifting rope, and a mathematical description of the dynamic
processes of oscillatory character in ropes of hoists during power transient processes are given.
A mathematical description of dynamical processes of oscillatory character in the ropes of
one-end and two-terminal elevating systems for power transients in the form of an analytical
differential equation is obtained.