Transient vibration phenomena in deep mine hoisting cables. Part 1: Mathematical model

Kaczmarczyk, Stefan; Ostachowicz, Wiesław

doi:10.1016/s0022-460x(02)01137-9

Cited by 120 publications

(82 citation statements)

References 21 publications

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“…And according to literature [7]: the frictional force brought by the press of the hoisting rope on the groove of head sheave was greater than the effect of the moment of head sheave, and if the shaft liner and shaft of head sheave was lubricated fully, it is impossible that slip happened between the hoisting rope and oriented pulley. The hypothesis of the same linear velocity of winding on the head sheave was also used by literatures [12,13] to investigate the vibration of hoisting rope. The effect of the oriented pulley and head sheave was similar, i.e., the linear speed of hoisting rope and the oriented pulley is assumed same and the torsional movement of hoisting rope on the groove of oriented pulley is restricted.…”

Section: A Extensional-torsional Coupledmentioning

confidence: 99%

Coupled Extensional-Torsional Vibration Frequency of Hoisting Rope in Tower-Type Friction Drive Hoist System

Cao

Zhi

Peng

et al. 2009

2009 International Conference on Measuring Technology and Mechatronics Automation

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In order to avoid resonance, and to enhance safety of hoisting system and monitoring reliability, an impact mechanical model of mine hoisting rope for friction drive hoist system was built. According to Hamilton principle and considering the effect of oriented pulley and hoisting rope string, coupled extensional-torsional and extensional only mathematical models of hoisting rope were deduced. Mode shape and transcendental equation of angular frequency were obtained based on the hypothesis that the wave of vibration propagated with sine shape. With numerical calculation, results show that the frequency considering the effect of oriented pulley and hoisting rope string was slightly lower comparing with the frequency ignoring the effect at the bottom of shaft, but much different at the mouth; and there is significant difference between coupled frequency and extensional vibration only. Thereby, to make the design and monitoring of mine hoisting much more reliably, it is suggested that the extensional-torsional coupled vibration of hoisting rope, oriented pulley and hoisting rope string should be considered.

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Section: A Extensional-torsional Coupledmentioning

confidence: 99%

Coupled Extensional-Torsional Vibration Frequency of Hoisting Rope in Tower-Type Friction Drive Hoist System

Cao

Zhi

Peng

et al. 2009

2009 International Conference on Measuring Technology and Mechatronics Automation

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“…The shape function is assumed to be related to the fundamental mode of the high-rise building and is approximated by a cubic polynomial representing the lateral displacements of the structure corresponding to the top of the structure and to the position of the car and counterweight estimated by Eqs. (5) - (9) .…”

Section: Description Of the Mathematical Modelmentioning

confidence: 99%

Modelling and simulation of a stationary high-rise elevator system to predict the dynamic interactions between its components

Crespo

Kaczmarczyk

Picton

et al. 2018

International Journal of Mechanical Sciences

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Example citation: Sánchez Crespo, R., Kaczmarczyk, S., Picton, P. and Su, H. (2018) Modelling and simulation of a stationary high-rise elevator system to predict the dynamic interactions between its components. International Journal of Mechanical Sciences. 137, It is advisable to refer to the publisher's version if you intend to cite from this work. In a high-rise elevator system lateral vibrations of the suspension and compensating ropes, coupled with vertical motions of the car and counterweight are induced by the building structure motions. When the frequency of the building coincides with the fundamental natural frequency of the ropes, large resonance whirling motions of the ropes result. This phenomenon leads to impacts of the ropes on the elevator walls, large displacements of the car and counterweight making the building and elevator system unsafe. This paper presents a comprehensive mathematical model of a high-rise elevator system taking into account the combined lateral stiffness of the roller guides and guide rails. The results and analysis presented in the paper demonstrate frequency curve veering phenomena and a wide range of resonances that occur in the system. A case study is presented when the car is parked at a landing level where the fundamental natural frequencies of the car, suspension and compensating rope system coincide with one of the natural frequencies of the high-rise building. The results show a range of nonlinear dynamic interactions between the components of the elevator system that play a significant role in the operation of the entire installation.Crown

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“…A model of an inclined rope's lateral oscillations is established on the following assumptions [5,6]: (i) The linear density of the inclined rope is constant; (ii) No rope slip on the friction pulley or across the head sheave; (iii) The effect of torsional coupling on the dynamic response is not significant and thereby can be neglected; (iv) Assume the spatial derivatives of longitudinal displacement to be small, and hence to be ignored; (v) No bending during deformation; and (vi) Without regard to air drags and the viscoelastic damping for their effects on the transverse vibrations are negligible. In the present model, in order to investigate how the axial fluctuations of head sheaves influence the transverse vibrations of the inclined ropes, only one inclined rope is adopted as the study object.…”

Section: Governing Equationmentioning

confidence: 99%

Assessment of safety for axial fluctuations of head sheaves in mine hoist based on coupled dynamic model

Yao

Xiao

Peng

et al. 2015

Engineering Failure Analysis

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Transient vibration phenomena in deep mine hoisting cables. Part 1: Mathematical model

Cited by 120 publications

References 21 publications

Coupled Extensional-Torsional Vibration Frequency of Hoisting Rope in Tower-Type Friction Drive Hoist System

Coupled Extensional-Torsional Vibration Frequency of Hoisting Rope in Tower-Type Friction Drive Hoist System

Modelling and simulation of a stationary high-rise elevator system to predict the dynamic interactions between its components

Assessment of safety for axial fluctuations of head sheaves in mine hoist based on coupled dynamic model

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