基于浮动天轮的矿井提升系统纵向振动抑制研究OA

We propose an active suppression scheme for the longitudinal vibration of wire ropes during hoist operation using a three-chamber hydraulic cylinder.The research object is a mine ground-mounted friction hoist.Considering the time-varying length of the wire rope,a coupled partial differential equation-ordinary differential equation dynamic model of the hoist's longitudinal vibration is established using Hamilton principle.Model order reduction and discretization are achieved through coordinate transformation.The resulting equations are solved numerically with the finite difference method.A floating wheel actuated by a three-chamber hydraulic cylinder serves as the active control actuator.A PD control law with displacement and velocity feedback is designed to actively suppress the system's boundary vibration.Simulation results show that the PD control strategy effectively attenuates the longitudinal distributed vibration displacement of the wire rope.The average vibration amplitude is reduced by more than 89%.The system converges within 43 s.This significantly improves the dynamic performance and safety of the hoisting system.Furthermore,compared with conventional hydraulic cylinders,the three-chamber hydraulic cylinder reduces energy consumption by 32.5%and enables partial energy recovery.