Mathematical modeling of 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 DEC-251 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 resulting expressions for calculating the load on the crane from the load, 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.