Mathematical modeling of the joint movement of mechanisms for lifting, turning and changing the crane's departure

Abstract

It was determined that the load on the crane from the load that is swinging depends on
the scheme of its suspension and the inertial characteristics of the cargo.
The research was carried out using mathematical methods that describe the transient
processes that occur when the lifting, rotating and changing mechanisms of the crane DEC251 are moving together.
When examining the fluctuations of cargo on suspensions according to schemes 1 and
2, the following assumptions were accepted: the rope is an ideal, weightless thread; massless
blocks roll over ropes without slipping; there is no energy dissipation in vibrations; the length
of the suspension is constant.
The dynamic workload of the system was evaluated by the method of comparative
analysis of the graphs of forces, displacements, and velocities of reduced masses of the boom system. In our work, we also constructed calculation schemes for the joint movement of the
lifting and turning mechanisms of the self-propelled crane, and considered particular cases of
operation of the crane mechanism.
The research resulted in receiving expressions for calculating the load on the crane
from the cargo, which is swinging on the ropes, which take into account the suspension
scheme of the cargo and its inertial characteristics. When the load on the suspension is
oscillating according to scheme 1, there is a redistribution of the tension in the ropes, and
under appropriate conditions one of them may weaken.