Analysis of stress in the conveyor belt (Maxwell–element model)
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- Category: Content №4 2021
- Last Updated on 23 August 2021
- Published on 30 November -0001
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Authors:
O.M.Pihnastyi, orcid.org/0000-0002-5424-9843, National Technical University Kharkiv Polytechnic Institute, Kharkiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
S.M.Cherniavska, orcid.org/0000-0002-9438-6965, National Technical University Kharkiv Polytechnic Institute, Kharkiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2021, (4): 074 - 081
https://doi.org/10.33271/nvngu/2021-4/074
Abstract:
Purpose. For a conveyor belt, the material of which corresponds to the Maxwell-element model, to analyze the causes of the occurrence of longitudinal dynamic stresses and investigate the peculiarities of the propagation of dynamic stresses along the route of material transportation.
Methodology. To calculate the value of static and dynamic stresses arising in the conveyor belt, the apparatus of mathematical physics was used.
Findings. A wave equation is written that determines the propagation of longitudinal vibrations in a conveyor belt, the material of which corresponds to the Maxwell-element model. An expression is obtained for calculating the speed of propagation of elastic vibrations along the conveyor belt, the frequency of vibrations and their wavelength. The characteristic relaxation time of disturbances is determined. The method of successive approximation was used to solve the wave equation. The estimation of the characteristic time of acceleration of the conveyor belt, at which there is no destruction of the material of the conveyor belt, is given.
Originality. PDE-models of conveyor-type transport systems are improved, which are used to design belt speed control systems under restrictions on speed control modes. It is shown that under the modes of acceleration or deceleration of the conveyor belt, the effects associated with the occurrence and propagation of dynamic stresses along the conveyor belt, due to the characteristics of the material corresponding to the Maxwell-element model, are insignificant.
Practical value. The results obtained make it possible to determine the limitations on the modes of acceleration or deceleration of the conveyor belt, preventing its damage and increased wear. This opens up prospects for designing effective control systems for the parameters of a conveyor belt, unevenly loaded with material along the transport route.
Keywords: conveyor, distributed system, belt speed control, conveyor, PDE model, Maxwell element, Hookean element
References.
1. Siemens (2021). SIMINE for conveyors. Retrieved from www.siemens.com/mining.
2. Conveyor Dynamics (2020). Curragh Project. Retrieved from http://conveyordynamics.com/index.php/project/curragh/.
3. Mathaba, T., & Xia, X. (2015). A parametric energy model for energy management of long belt conveyors. Energies, 8(12), 13590-13608. https://doi.org/10.3390/en81212375.
4. Antonia, J. (2010). Energy-saving belt conveyors installed in polish collieries. Transport Problems, 5(4), 5-14.
5. Halepoto, I., Shaikh, M., & Chowdhry, B. (2016). Design and Implementation of Intelligent Energy Efficient Conveyor System Model Based on Variable Speed Drive Control and Physical Modeling. Control and Physical Modeling. Journal of Control and Automation, 9(6), 379-388.
6. Pihnastyi, O., & Khodusov, V. (2019). The optimal control problem for output material flow on conveyor belt with input accumulating bunker. Bulletin of the South Ural State University. Ser.Mathematical Modelling, Programming & Computer Software (Bulletin SUSUMMCS), 12(2), 67-81. https://doi.org/10.14529/mmp190206.
7. Bardzinski, P., Walker, P., & Kawalec, W. (2018). Simulation of random tagged ore flow through the bunker in a belt conveying system. International Journal of Simulation Modelling, (4), 597-608. https://doi.org/10.2507/IJSIMM17(4)445.
8. Pihnastyi, O., & Khodusov, V. (2020). Development of the controlling speed algorithm of the conveyor belt based on TOU-tariffs. Proceedings of the 2nd International Workshop on Information-Communication Technologies & Embedded Systems, ICTES 2020, Mykolaiv, Ukraine, November, (2762) 73-86. Retrieved from http://ceur-ws.org/Vol-2762/paper4.pdf.
9. Kiriia, R., & Shyrin, L. (2019). Reducing the energy consumption of the conveyor transport system of mining enterprises. International Conference Essays of Mining Science and Practice, (109). https://doi.org/10.1051/e3sconf/201910900036.
10. Marasova, D., Andrejiova, M., & Grincova, A. (2017). Creation of the project of a logistic system for transportation of minerals case study. TEM Journal, 6(2), 205-213. https://doi.org/10.18421/TEM62-03.
11. Pihnastyi, O., & Khodusov, V. (2018). Model of a composite magistral conveyor line. IEEE International Conference on System analysis & Intelligent computing, (pp. 68-72). Kyiv, Ukraine: Kyiv Polytechnic Institute. https://doi.org/10.1109/saic.2018.8516739.
12. Yang, G. (2014). Dynamics analysis and modeling of rubber belt in large mine belt conveyors. Sensors & Transducers, 81(10), 210-218.
13. Lu, Yan, Lin, Fu-Yan, & Wang, Yu-Chao (2015). 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. https://doi.org/10.1515/jtam-2015-0017.
14. Sakharwade, S., & Nagpal, S. (2019). Analysis of transient belt stretch for horizontal and inclined belt conveyor system. International Journal of Mathematical, Engineering and Management Sciences, 4(5), 1169-1179. https://doi.org/10.33889/IJMEMS.2019.4.5-092.
15. Kulinowski, P. (2014). Simulation method of designing and selecting tensioning systems for mining belt conveyors. Archives of Mining Sciences, 59(1), 123-138. https://doi.org/10.2478/amsc-2014-0009.
16. Pihnastyi, O., & Khodusov, V. (2020). Hydrodynamic model of transport system. East European Journal of Physics, (1), 121-136. https://doi.org/10.26565/2312-4334-2020-1-11.
17. Manjgo, M., Piric, E., Vuherer, T., & Burzic, M. (2018). Determination of mechanical properties of composite materials-the rubber conveyor belt with cartridges made of polyester and polyamide. Annals of the Faculty of Engineering Hunedoara, 16(1), 141-144.
18. Karolewski, B., & Ligocki. P. (2014). Modelling of long belt conveyors. Maintenance and Reliability, 16(2), 2.
19. Lawson, B. (2017). Overland Conveyor: Control System Re-design and Implementation. PeruMin. 1-10. Retrieved from https://www.semanticscholar.org/paper/Overland-Conveyor-%3A-Control-System-Re-design-and-Lawson/a4d3dda013402e1e5b98aa5c4547d886b84a4983.
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