Dynamic Responses of a Tower Trane Tower and Payload Subjected to Elastic Jib in Radial Motion

Due to slender truss structures, the tower and jib of tower cranes can easily produce vibrations during the acceleration and deceleration of the motion. The alternating load generated by this vibration reduces the payload's positioning accuracy and is also one of the main factors to cause fatigue damage to the crane structure. Based on the Euler-Bernoulli beam theory, this paper derives the differential equations of tower vibration, jib vibration, and payload swing under the radial motion by the Lagrangian equation. The vibration modes of the tower are analyzed, and the effect of trolley speed, payload mass, and rope length on the vibration characteristics of the tower and the payload swing characteristics subjected to elastic jib is studied through simulation. The expression of the maximum swing angle is derived, and the experiment verifies the validity of the simulation results.