Transient vibration phenomena in deep mine hoisting cables. Part 2: Numerical simulation of the dynamic response

Kaczmarczyk, Stefan; Ostachowicz, Wiesław

doi:10.1016/s0022-460x(02)01148-3

Cited by 73 publications

(55 citation statements)

References 5 publications

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“…Numerical modeling allows investigating negative resonant phenomena in the mechanical system of the MWP. Recommendations have been developed on how to avoid the resonance [7]. A diagnostic method for detecting detrimental vibrations in the MWP with an integrated application of amplitude, time and frequency analysis has been developed [8].…”

Section: Literature Data Analysismentioning

confidence: 99%

Mathematical Modeling of Torsional and Longitudinal Oscillations in a Mine Winding Plant as a Multimass System

Kozar¹,

Romanovych²,

Afanasov³

et al. 2018

IJET

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The purpose of the study is to determine the dynamic loads in the mechanical system of a mine winding plant. A 6-mass equivalent dynamic design model is constructed by reducing the number of discrete masses in the original 12-mass system by a special method. Spectra of natural oscillation frequencies of the initial and design systems are obtained. Differential equations that describe oscillations in the shaft line and ropes are drafted. Oscillation curves of the moments in the elastic coupling of the design system are obtained using numerical integration of the equations. The dynamic response factors are calculated. It was confirmed that the conversion of a 12-mass system into a 6-mass system almost does not affect the accuracy of determining the dynamic loads in the transmission line of the hoist in a given frequency range. The proposed methodology for constructing a mathematical model can be used not only for mine hoists, but also for other machines with multiple moving masses.

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Section: Literature Data Analysismentioning

confidence: 99%

Mathematical Modeling of Torsional and Longitudinal Oscillations in a Mine Winding Plant as a Multimass System

Kozar¹,

Romanovych²,

Afanasov³

et al. 2018

IJET

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“…Aimed at mine hoisting steel wire rope, senior scholars have carried out a lot of research [4][5][6][7]. According to differential equations, we establish the tension and deformation model which are shown in Figure 3 and Figure 4, by Matlab-Simulink simulation software.…”

Section: The Creation Of Steel Wire Rope Dynamic Simution Modelmentioning

confidence: 99%

The Influence to Mine Hoisting SteelWire Rope Tension and Deformation from Velocity and Acceleration

Wang¹,

Wang²,

Du³

et al. 2017

dtcse

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For studying dynamic characteristics of ultra-deep mine hoisting steel wire rope, according to the differential equation of mine hoisting steel wire rope tension and deformation in the lifting process, we establish the corresponding dynamic simulation model using Matlab-Simulink, carry out simulation experiments according to the ultra-deep mine simulated test parameters, change the value of acceleration and velocity in the lifting process, get variation rule of rope tension and deformation in the lifting process, study the influence to tension and deformation and vibration frequency from acceleration and velocity, provide the theoretical basis and data support for optimal hoisting system design.

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“…Considering that the effect of gravity due to a catenary inclination is small compared to the total quasi-static tension, the axial tensile loads along the catenary are assumed to be equal. The continuity of deflection across the head sheave requires that the dynamic tension in the catenary equals to that at the top of the vertical rope [5]. Hence, to obtain the dynamic tension in the catenary, it is imperative to explore the dynamic tension of the vertical rope.…”

Section: Theory Of Longitudinal Tensionmentioning

confidence: 99%

“…The previous researches on the dynamics of hoisting ropes in coal mines have been undertaken by some scholars. 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.…”

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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Transient vibration phenomena in deep mine hoisting cables. Part 2: Numerical simulation of the dynamic response

Cited by 73 publications

References 5 publications

Mathematical Modeling of Torsional and Longitudinal Oscillations in a Mine Winding Plant as a Multimass System

Mathematical Modeling of Torsional and Longitudinal Oscillations in a Mine Winding Plant as a Multimass System

The Influence to Mine Hoisting SteelWire Rope Tension and Deformation from Velocity and Acceleration

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

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