The Passage Through Resonance in a Catenary–vertical Cable Hoisting System With Slowly Varying Length

Kaczmarczyk, Stefan

doi:10.1006/jsvi.1997.1220

Cited by 42 publications

(22 citation statements)

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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%

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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%

“…Then, substituting (13) into (12), the ψ could be obtained as 1/ e a α = and by using (12)and (14), mode shapes could be showed as…”

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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“…Kaczmarczyk and Ostachowicz [4,5] derived a distributedparameter mathematical model by employing the classical moving coordinate frame approach and Hamilton's principle with no regard to the transverse motions of head sheave in a single-rope mine drum hoist. Kaczmarczyk [6] has also formulated an integral longitudinal model of the catenaryvertical hoisting cable system with a periodic excitation to analyze the passage through resonance. Wang et al [7] investigated the lateral response of the moving hoisting conveyance in cable-guided hoisting systems and revealed that the maximum lateral displacement is linearly proportional to the excitation amplitude.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Collision Behavior of Hoisting Catenaries during a Lifting Cycle in Coal Mines

Yao

Xiao

2015

Mathematical Problems in Engineering

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This investigation focused on the analyses of transverse vibrations of mine hoisting catenaries where collision between adjacent ropes is more likely to occur. To support the analyses of transverse vibrations of catenaries, theoretical correlation models for longitudinal tension and transverse vibration were first established. Based on a severe rope collision case, on-site measurements and numerical simulations were performed. The research results indicated that the external second-order excitation frequency induced by axial fluctuations of head sheave was the primary excitation frequency, which was closer to the resonance frequency. Furthermore, the effects of excitation amplitude and imbalanced tension were also investigated revealing that larger excitation amplitude contributes to larger response amplitude and the maximum response amplitude of a catenary is sensitive to imbalanced rope tension. Eventually, new solutions, which will facilitate hoisting catenary operation beyond the resonance frequency range, were proposed.

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“…The 6×19,6W(36) and triangular strand wire ropes have strongly torsional movement while suffering axial fluctuate load. Aiming at only extensional [1][2][3][4][5] , extensional-torsional coupled [6][7][8][9][10] , transverse [11][12] and extensional-transverse coupled [13][14] vibration investigation of hoisting system, a lot of literatures was proposed, but considering the extensionaltorsional-lateral coupled vibration and the influence of concentrated mass of the head sheave was studied little. Although, the hoisting conveyance is limited by rigid steel guide, the vibration behavior is complicated because of torsional movement, extensional and lateral excitation during drum winding.…”

Section: Introductionmentioning

confidence: 99%

“…According to(5), the vibrations of extensional, lateral and torsional movements during drum winding with varying length of hoisting rope are coupled.III. MODE SHAPE AND FREQUENCY…”

mentioning

confidence: 99%

Modeling and Natural Frequency Characteristics of Coupled Vibration with Varying Length of Hoisting Rope in Drum Winding System

Cao

Zhu

Peng

et al. 2010

2010 International Conference on Computing, Control and Industrial Engineering

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In order to avoid resonance and enhance safety during designing hoist control method for mine hoisting system, the model of drum winding system guided by a head heave with varying length of hosting rope was established by the method of moving frame approach. According to Hamilton principle, the extensional, torsional and lateral coupled mathematical model with the effect of a concentrated mass was described to investigate the natural frequency characteristics. The mode shape and transcendental equation of angular frequency were obtained by supposing that the wave of vibration propagated with sine shape and using characteristic of the Heaviside function. By taking the scanning method of frequency and the hypothesis of transient, all vibration frequencies of the transcendental equation during drum winding could be calculated numerically, and frequencies at the bottom of shaft during the drum winding were given as a calculation example.

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The Passage Through Resonance in a Catenary–vertical Cable Hoisting System With Slowly Varying Length

Cited by 42 publications

References 0 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

Investigation of Collision Behavior of Hoisting Catenaries during a Lifting Cycle in Coal Mines

Modeling and Natural Frequency Characteristics of Coupled Vibration with Varying Length of Hoisting Rope in Drum Winding System

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