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Maxwell-Element Model for Describing Conveyor Belt Stresses

Author

Listed:
  • Pihnastyi, Oleh
  • Kozhevnikov, Georgii
  • Ivanovska, Olha

Abstract

The wave equation which allows researching the occurrence and the dynamic stress propagation in the conveyor belt is obtained for the conveyor belt, the material of which corresponds to the Maxwell element model. The boundary and initial conditions were written for power switching modes to consider the mechanical characteristics of the asynchronous engine with the phase rotor, which determine the dependencies between the traction torque and the rotational speed of an asynchronous electric engine with a phase rotor. The estimate is given to separate wave equation terms. The expression is obtained for the calculation propagation belt speed of the dynamic stress along the conveyor belt. The conditions are shown by which the wave equation will correspond to the model of Hooke’s element. By designing the dependencies between the traction torque and the rotational speed for a specified interval of the mechanical characteristic, a linear approximation is used. It is shown that the change of the material flow value coming into a section input doesn’t render a special influence on the dynamic stresses' propagation process along the conveyor belt. The expressions are obtained for dynamic stress propagation speed calculation. By deriving the wave equation, it is assumed the uneven material distribution along the conveyor section.

Suggested Citation

  • Pihnastyi, Oleh & Kozhevnikov, Georgii & Ivanovska, Olha, 2022. "Maxwell-Element Model for Describing Conveyor Belt Stresses," MPRA Paper 112560, University Library of Munich, Germany, revised 01 Jan 2022.
    • Handle: RePEc:pra:mprapa:112560
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    References listed on IDEAS

    as
    1. Tebello Mathaba & Xiaohua Xia, 2015. "A Parametric Energy Model for Energy Management of Long Belt Conveyors," Energies, MDPI, vol. 8(12), pages 1-19, December.
    2. Pihnastyi, Oleh & Khodusov, Valery, 2019. "The optimal control problem for output material flow on a conveyor belt with input accumulating bunker," MPRA Paper 95928, University Library of Munich, Germany, revised 07 Jan 2019.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Dynamic stress; Conveyor belt; Asynchronous electric engine;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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