Nonlinear Dynamic Behavior of Winding Hoisting Rope under Head Sheave Axial Wobbles

Abstract

Axial wobbles of the head sheave due to manufacturing accuracy and installation technology can exert periodic lateral excitations to the winding hoisting rope. A hoisting rope consists of a constant catenary rope from the drum to the head sheave and a variable vertical rope from the head sheave to the conveyance. e longitudinal and lateral vibration responses of the hoisting rope are coupled to each other. In this paper, the coupled lateral-longitudinal governing equations of the winding hoisting system under the axial wobble excitations of the head sheave are established by the Hamilton principle. e governing equations are nonlinear infinite-dimensional partial differential equations, which are discretized into the finite-dimensional ordinary differential equations through the Galerkin method. e dynamic responses of the hoisting rope under the head sheave axial wobbles are given by MATLAB simulation when the winding hoist is lifting or lowering. e results show that lateral vibration displacements of the vertical rope under the head sheave axial wobbles are larger than those of the catenary rope. e axial wobble amplitude range of the head sheave is given to limit the lateral vibration displacements of the hoisting rope.

Research on operation characteristics of hoisting conveyance under mining deformation action in mine vertical shaft

“…Dokić et al [8] proposed a nonsmooth vibration method for analyzing the connection location between the wire rope and HC with non-complete boundary conditions over time, which laid the foundation for the value of the dynamical parameters. Wang et al [9] established the distributed parameter partial differential vibration equations of the hoisting system under the perturbation of the head sheave based on the Hamilton's principle, and analyzed the dynamic behavior of the hang and vertical wire ropes under their perturbation. The above mentioned mainly studied the OC of the hoisting system under the normal motion, air disturbance, rigid GR unevenness and head sheave oscillation, ignoring the effect of MSD on the OCHC.…”

Stability of Two Weakly Coupled Elastic Beams with Partially Local Damping

“…In [45], nonlinear dynamic behavior of the winding hoisting rope under head sheave axial wobbles is concerned. A dynamic model of a mine hoisting system with constant length and variable length is analyzed in [46]. Liu and Rao [47] studied the stability of a weakly coupled and partially damped system.…”