Coupled dynamic modeling and nonstationary vibration analysis of a double-cable hoist under rigid guide-roller contact excitation

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Abstract

In this paper, a comprehensive coupled dynamic model was developed for a double-cable mine hoisting system to investigate nonstationary vibration responses induced by rigid-guide imperfections. The spatial motions of the cables in the longitudinal, transverse, and lateral directions were described by nonlinear partial differential equations (PDEs), whereas the cage dynamics and guide-roller interactions were formulated as coupled ordinary differential equations (ODEs). By incorporating time-varying cable lengths and rigid guide-roller contact excitation, the governing equations were transformed into a finite-dimensional ODE system using a normalized spatial coordinate and Galerkin projection. The numerical implementation was verified through modal, time-step, and no-guide-deviation benchmark analyses. Numerical simulations were then conducted to characterize the nonstationary dynamic behavior of the system under guide curvature and verticality deviations, with particular emphasis on tension inconsistency between the suspension strings. The model-based reference deviation amplitudes were further identified, providing a theoretical basis for assessing the influence of guide-structure geometric deviations on hoisting-operation safety.

Keywords

double-cable hoist / nonlinear partial differential equations / rigid guide / coupled dynamic model / tension inconsistency

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