Statistical theory of production systems
Published January 19, 2021 | Version v1
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Kelvin-Voigt Model of Dynamic Stress in the Conveyor Belt

Authors/Creators

  • 1. National Technical University "Kharkiv Polytechnic Institute", Kharkiv, Ukraine

Description

The paper considers the reasons for the occurrence of dynamic stresses in a conveyor belt made of composite materials, the properties of which can be described by the Kelvin-Voigt model of an elastic element. A boundary value problem for the equation of elastic vibrations in a lightly loaded conveyor-type transport system is formulated. The dependencies determining the forces of resistance to the movement of the belt correspond to the recommendations of DIN 22101: 2002-08. An expression is presented that determines the speed of propagation of disturbances in the conveyor belt, taking into account the uneven distribution of material along the transport route. The reasons for the appearance of elastic stresses in the conveyor belt associated with the start, acceleration, deceleration and stop of the transport conveyor are demonstrated. Dimensionless parameters were introduced to analyze the causes of dynamic stresses in the conveyor belt. Similarity criteria in the dimensionless transport conveyor model make it possible to use the results obtained for similar transport systems. It is shown that the value of static stresses for lightly loaded transport systems is characterized by a  linear dependence on the distance between the belt element and the drive shaft of the conveyor section.  The solution of the boundary value problem defining the expression for dynamic stresses in the tape is presented. It is shown that the decay speed of the arising disturbances is inversely proportional to the value of the viscosity coefficient of the composite material, which characterizes the mechanical properties of the conveyor belt. A qualitative assessment has been made for the characteristic decay time of dynamic disturbances in a conveyor belt.

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Cites
10.1007/978-3-030-66717-7_30 (DOI)

References

  • 1. Pihnastyi, O., Kozhevnikov, G., Khodusov, V.: Conveyor Model with Input and Output Accumulating Bunker. In IEEE 11th International Conference on Dependable Systems, Services and Technologies (DESSERT), pp. 253–258, Kyiv, Ukraine (2020). https://doi.org/10.1109/DESSERT50317.2020.9124996
  • 2. Siemens, Innovative solutions for the mining industry Homepage, www.siemens.com/mining, last accessed 2020/08/08
  • 3. Pihnastyi, O., Khodusov, V.: Model of a composite magistral conveyor line. In IEEE International Conference on System analysis & Intelligent computing (SAIC 2018), pp. 68–72, Kyiv, Ukraine: Kyiv Polytechnic Institute (2018). https://doi.org/10.1109/saic.2018.8516739
  • 4. Razumnyj, Ju., Ruhlov, A., Kozar, A.: Improving the energy efficiency of conveyor transport of coal mines. Mining Electromechanics and Automation 76, 24–28 (2006). https://docplayer.ru/64655888-Povyshenie-energoeffektivnosti-konveyernogo-transporta- ugolnyh-shaht.html
  • 5. Semenchenko, A., Stadnik, M., Belitsky, P., Semenchenko, D., Stepanenko, O.: The impact of an uneven loading of a belt conveyor on the loading of drive motors and energy consumption in transportation. EasternEuropean Journal of Enterprise Technologies 4/1 (82), 42 –51 (2016). https://doi.org/10.15587/1729-4061.2016.75936
  • 6. Ristić, L., Bebić, M., Jevtić, D., Mihailović, I., Štatkić, S., Rašić, N., Jeftenić, B.: Fuzzy speed control of belt conveyor system to improve energy efficiency. In 15th International Power Electronics and Motion Control Conference (EPE/PEMC), pp. DS2a.9-1–DS2a.9-7, Novi Sad (2012). https://doi.org/10.1109/EPEPEMC.2012.6397260.
  • 7. Halepoto, I., Uqaili, M.: Design and Implementation of Intelligent Energy Efficient Conveyor System Model Based on Variable Speed Drive Control and Physical Modeling. International Journal of Control and Automation, 9(6), 379–388 (2016). http//dx.doi.org/10.14257/ijca.2016.9.6.36
  • 8. Bebic, M., Ristic, B.: Speed Controlled Belt Conveyors: Drives and Mechanical Considerations. Advances in Electrical and Computer Engineering, 18(1), 51–60 (2018). http//dx.doi.org/10.4316/AECE.2018.01007
  • 9. Zeng, F., Yan, C., Wu, Q., Wang, T.: Dynamic Behaviour of a Conveyor Belt Considering Non-Uniform Bulk Material Distribution for Speed Control. Applied Sciences. 10, 1–19 (2020). https://doi.org/10.3390/app10134436
  • 10. Yang, G.: Dynamics Analysis and Modeling of Rubber Belt in Large Mine Belt Conveyors. Sensors & Transducers, 81(10), 210–218 (2014), https://www.sensorsportal.com/HTML/DIGEST/P_2492.htm
  • 11. Nordell, L., Ciozda, Z: Transient belt stresses during starting and stopping: elastic re- sponse simulated by finite element methods. Bulk Solids Handling, 4(1), 99–104 (1984), http://www.ckit.co.za/secure/conveyor/papers/troughed/transient/transient-belt- stresses.htm
  • 12. Lu, Y., Lin, F., Wang, Y.: Investigation on influence of speed on rolling resistance of belt conveyor based on viscoelastic properties Journal of Theoretical and Applied Mechanics, 45(3), 53–68 (2015), https://doi.org/10.1515/jtam-2015-0017
  • 13. DIN 22101:2002-08. Continous conveyors. Belt conveyors for loose bulk materials. Basics for calculation and dimensioning. [Normenausschuss Bergbau (FABERG), Deutsches Institut für Normung e.v. Normenausschuss Maschinenbau (NAM)], (2002).
  • 14. Pascual, R., Meruane, V., Barrientos, G.: Analysis of transient loads on cable-reinforced conveyor belts with damping consideration. In: XXVI Iberian Latin-American Congress on Computational Methods in Engineering (CILAMCE-2005). Paper CIL0620, pp.1–15, Santo, Brazil, 19–21 October 2005, http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.494.34&rep=rep1&type=pdf
  • 15. He, D., Pang, Y., Lodewijks, G: Determination of Acceleration for Belt Conveyor Speed Control in Transient Operation. International Journal of Engineering and Technology 8(3), 206–211 (2016). https://doi.org/10.7763/IJET.2016.V8.886
  • 16. Karolewski, B. , Ligocki, P.: Modelling of long belt conveyors. Maintenance and Reliability 16(2), 179–187 (2014). http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.baztech-ce355084-3e77-4e6b- b4b5-ff6131e77b30