Finite element dynamic modeling and vibration analysis of a mine hoister system under complex boundary conditions

Abstract

This article addresses the dynamic response of mine hoisters under complex boundary conditions and displacement excitation using a high-fidelity finite element model. The model incorporates the coupling of transverse and longitudinal vibrations in catenary and vertical ropes, the coupling of transverse and longitudinal vibrations of a time-varying length vertical rope, the coupling between flexible guides and the cage, and complex boundary conditions. Subsequently, the article performs a complex modal analysis on the mine hoister, analyzing the regularity of modal frequency changes. Furthermore, this article introduces boundary displacement excitation at the drum and utilizes the Newmark-β method to analyze the dynamic response of the mine hoisting system. The developed high-fidelity finite element model accurately captures the transient response induced by the boundary excitation. The analysis reveals that the transverse vibrations of the catenary and vertical ropes are primarily driven by the boundary excitation, while the longitudinal vibrations are mainly caused by the variation in the acceleration of the hoisting curve. Finally, the accuracy of the proposed finite element model is validated against experimental results.