Time-Varying Characteristics of the Longitudinal Vibration of a High-Speed Traction Elevator Lifting System

Abstract

Hoisting rope in a high-speed traction elevator lifting system exhibits strong time-varying characteristics, which, to a large extent, affect the comfort and safety of high-speed elevators. In order to analyse the influence of the time-varying characteristics on the vibration of elevators during the whole operation process, the longitudinal vibration of the hoisting rope of a lifting elevator is introduced to study the effect of the time varying characteristics of a lifting system on the time-varying characteristics of longitudinal vibration. The nonlinear time-varying model of the longitudinal vibration of the hoisting rope is established using the Hamilton principle and energy method. The Galerkin method is used to discretize the partial differential equations of vibration. The quintic polynomial is used to fit the ideal operating state of the elevator. Following this, the quintic polynomial is input as the motion parameter. The precise integration for the time-varying model of longitudinal vibration of the lift system is put forward. The time variant of elevator hoisting system is solved and vibration analysis is carried out with elevator case. It is observed that, during operation, as the length of the hoist rope increases, the acceleration of the longitudinal vibration of the elevator increases too. As the tensile force, provided by the tensioning device, increases, the acceleration decreases.