COMPARED ANALYSIS OF THE DYNAMICS OF CHANGES IN THE OUTREACH OF A TOWER CRANE LOAD WITH SINGLE AND DOUBLE MATHEMATICAL PENDULUMS

The article presents a comparative analysis of the kinematic and dynamic characteristics of the transient start-up mode of the trolley movement mechanism of a tower crane. The single and double mathematical pendulums effects are stressed. The study was carried out using parameters corresponding to the physical model of the tower crane boom system, which is located in the laboratory of machine dynamics of the Department of Machine and Equipment Design of NULES of Ukraine. In the course of the comparative analysis, it was found that the use of a flexible load suspension model as single or double mathematical pendulum does not significantly affect the magnitude and the change in the force in the traction rope and the speed of the trolley. However, the model influences the phase trajectory of load pendulum oscillations. The results of theoretical and experimental studies of the deviation from the vertical of a flexible load suspension by using a single and double mathematical pendulum models were compared. It was established that during the first second of movement, the results of experimental studies of load deflections are closer to the double pendulum model. After the first second of movement, the results of experimental studies are closer to the single pendulum model.