Analysis and Research on Dynamic Response of Wire Ropes in Crane Working Conditions under Various Vibration Excitations

The dynamic stability of steel wire ropes is crucial for crane safety. This article systematically studies the dynamic response of steel wire ropes in crane operations using analytical methods. Modal parameters under prestressing are analyzed, and the influence of load mass on modal frequency is explored. Under different excitation conditions, including sweep load, impact load, and random load, the dynamic response, such as displacement and acceleration, is calculated using modal superposition and Newmark integration methods. The study examines the impact of parameters like prestress, impact load width, and modal damping ratio on the dynamic response. Results show that increased load mass significantly raises the transverse modal frequency, while impact pulse width and modal damping ratio strongly influence vibration response. This research provides a theoretical basis and technical support for the design, use, and maintenance of crane wire ropes.