Research on vibration damping model of flat-head tower crane system based on particle damping vibration absorber

To address the problem of the flat-head tower crane in rotating motion with the large amplitude of the jib vibration and the cargo swing, based on the Euler–Bernoulli beam theory and Lagrange equation, a particle damping vibration absorber-jib-cargo coupling system (PDVA-J-C-CS) dynamics model is proposed based on the consideration of structural damping. The correlation analysis between the system operating parameters and structural parameters is carried out, and the theoretical numerical simulation and ADAMS simulation research on the characteristics of the jib vibration and the cargo swing are carried out. The simulation and theoretical results show that the jib vibration response is almost uncorrelated with the in-plane angle and significantly positively correlated with the out-plane angle, and the closer the cargo position is to the jib end, the stronger the correlation is, and the longer the cargo cable length is, the weaker the correlation is. The particle damping vibration absorber can suppress the jib vibration and the cargo swing, and the larger the mass ratio, the more the jib end vibration response and the cargo out-plane angle are reduced. These studies can provide some theoretical guidance for the vibration damping of the jib and the anti-swing of the cargo in rotary motion and have important engineering significance for the realization of fast, smooth, and safe lifting operation of the tower crane.