Determiantion of energy characteristics of material destruction in the crushing chamber of the vibration crusher

Authors

DOI:

https://doi.org/10.15587/1729-4061.2021.239292

Keywords:

vibration crusher, crushing chamber, resonant mode, process of destruction, energy, stress, deformation

Abstract

The crushing equipment is characterized by a significant energy-consuming system during the crushing workflow. The current trend in the development of such processes puts forward requirements for the development of new or improvement of existing energy-saving equipment. The essence of the solution to the problem in this work is determined by using resonant modes, which are inherently the most effective. The practical implementation of the resonance mode has been achieved taking into account the conditions for the interaction of the resonant vibration crusher with the material at the stages of its destruction. The degree of the stress-strain state of the material is taken into account, which was a prerequisite for identifying the potential for the development of a vibration load. Composed equations of motion based on a substantiated discrete-continuous model of a vibration crusher and processing material. An approach is applied to determine the stepwise destruction of the material with the determination of the required degree of energy. This methodological approach made it possible to reveal the nature of the process of material destruction, where energy costs at the stages of crack formation, their development and final destruction are taken into account. It was revealed that the greatest energy consumption during the operation of crushers goes into the kinetic energy of the crushing plates and the potential energy of deformation of the springs. The proposed model is common for any design of a vibration machine and its operating modes. The stable resonance mode has made it possible to significantly reduce the energy consumption for the course of the technological process of material grinding. The results obtained are used to improve the calculation methods for vibratory jaw and cone crushers that implement the corresponding energy-saving stable zones of the working process.

Author Biographies

Ivan Nazarenko, Kyiv National University of Construction and Architecture

Doctor of Technical Sciences, Professor, Head of Department

Department of Vehicles and Equipment of Technological Processes

Yevhen Mishchuk, Kyiv National University of Construction and Architecture

PhD, Associate Professor

Department of Vehicles and Equipment of Technological Processes

Dmitry Mishchuk, Kyiv National University of Construction and Architecture

PhD, Associate Professor

Department of Construction Vehicles

Mykola Ruchynskyi, Kyiv National University of Construction and Architecture

PhD, Professor

Department of Vehicles and Equipment of Technological Processes

Ivan Rogovskii, National University of Life and Environmental Sciences of Ukraine

Doctor of Technical Sciences, Senior Researcher

Research Institute of Engineering and Technology

Liudmyla Mikhailova, State Agrarian and Engineering University in Podilia

PhD, Professor

Department of Electrical Engineering, Electromechanics and Electrotechnology

Educational and Scientific Institute of Energy

Liudmyla Titova, National University of Life and Environmental Sciences of Ukraine

PhD, Associate Professor

Department of Technical Service and Engineering Management named after M. P. Momotenko

Mykola Berezovyi, National University of Life and Environmental Sciences of Ukraine

PhD, Associate Professor

Department of Mechanics

Ruslan Shatrov, National University of Life and Environmental Sciences of Ukraine

PhD, Associate Professor

Department of Technical Service and Engineering Management named after M. P. Momotenko

References

  1. Nguyen, T. N., Kolenko, G. S. (2020). Analysis of the fracture mechanics and workability of a gas turbine blade in the presence of a crack. Materials Science. Power Engineering, 26 (3), 56–69. doi: https://doi.org/10.18721/JEST.26304
  2. Terentiev, О., Streltsovа, I. (2015). Energy intensity and specific surface energy of rock breaking by magnetic hydrocavitation stressing. Visnyk NTUU «KPI». Seriya «Hirnytstvo», 28, 29–35.
  3. Vasiliev, L. M., Vasiliev, D. L., Malich, M. G. (2021). Modeling the process of disintegration of solid materials by asymmetric loading in crushing machines in order to find ways to reduce energy costs. Energy- and resource-saving technologies of developing the raw-material base of mining regions, 457–473. doi: https://doi.org/10.31713/m1028
  4. Hong, S. J., Yang, H. J. (2019). A Study on the Impact Load Quantification of the Jaw Crusher. Journal of Drive and Control, 16 (2), 1–7. doi: https://doi.org/10.7839/KSFC.2019.16.2.001
  5. Pothina, R., Kecojevic, V., Klima, M. S., Komljenovic, D. (2007). Gyratory crusher model and impact parameters related to energy consumption. Mining, Metallurgy & Exploration, 24 (3), 170–180. doi: https://doi.org/10.1007/bf03403212
  6. Sokur, M., Biletskyi, V., Sokur, L., Bozhyk, D., Sokur, I. (2016). Investigation of the process of crushing solid materials in the centrifugal disintegrators. Eastern-European Journal of Enterprise Technologies, 3 (7 (81)), 34. doi: https://doi.org/10.15587/1729-4061.2016.71983
  7. Fladvad, M., Onnela, T. (2020). Influence of jaw crusher parameters on the quality of primary crushed aggregates. Minerals Engineering, 151, 106338. doi: https://doi.org/10.1016/j.mineng.2020.106338
  8. Lapin, R., Kuzkin, V. (2019). Calculation of the normal and shear compliances of a three-dimensional crack taking into account the contact between the crack surfaces. Letters on Materials, 9 (2), 234–238. doi: https://doi.org/10.22226/2410-3535-2019-2-234-238
  9. Zou, J., Han, J., Yang, W. (2020). Investigating the Influences of Indentation Hardness and Brittleness of Rock-Like Material on Its Mechanical Crushing Behaviors. Mathematical Problems in Engineering, 2020, 1–16. doi: https://doi.org/10.1155/2020/4713532
  10. Beloglazov, I. I., Yusupov, G. A., Stepanyan, A. S., Feoktistov, A. Y. (2018). Disintegration process modeling for a jaw crusher with complex jaws swing. Obogashchenie Rud, 2, 3–8. doi: https://doi.org/10.17580/or.2018.02.01
  11. Gorobets, L. J., Fedoskina, E. V., Verhorobina, I. V. (2017). Effects of dynamic quality of ladening of geterogen material at crushing. Heotekhnichna mekhanika, 137, 93–106. Available at: http://dspace.nbuv.gov.ua/handle/123456789/158641
  12. Nesterenko, M., Nazarenko, I., Molchanov, P. (2018). Cassette Installation with Active Working Body in the Separating Partition. International Journal of Engineering & Technology, 7 (3.2), 265. doi: https://doi.org/10.14419/ijet.v7i3.2.14417
  13. Bernyk, I., Luhovskyi, O., Nazarenko, I. (2018). Effect of rheological properties of materials on their treatment with ultrasonic cavitation. Materiali in Tehnologije, 52 (4), 465–468. doi: https://doi.org/10.17222/mit.2017.021
  14. Nazarenko, I., Dedov, O., Bernyk, I., Rogovskii, I., Bondarenko, A., Zapryvoda, A. et. al. (2020). Determining the regions of stability in the motion regimes and parameters of vibratory machines for different technological purposes. Eastern-European Journal of Enterprise Technologies, 6 (7 (108)), 71–79. doi: https://doi.org/10.15587/1729-4061.2020.217747
  15. Perelman, G. (2002). The entropy formula for the Ricci flow and its geometric applications. arXiv.org. Available at: https://arxiv.org/pdf/math/0211159.pdf
  16. Morgan, J. W., Tian, G. (2007). Ricci flow and the Poincare conjecture. arXiv.org. Available at: https://arxiv.org/pdf/math/0607607.pdf
  17. Ciężkowski, P., Maciejewski, J., Bąk, S. (2017). Analysis of Energy Consumption of Crushing Processes – Comparison of One-Stage and Two-Stage Processes. Studia Geotechnica et Mechanica, 39 (2), 17–24. doi: https://doi.org/10.1515/sgem-2017-0012
  18. Nazarenko, I., Mishchuk, E. (2014). Research process of destruction of the material in the grinding chamber of the vibrating jaw crusher. Hirnychi, budivelni, dorozhni ta melioratyvni mashyny, 84, 55–63.
  19. Mozharovskyi, M. S. (2002). Teoriya pruzhnosti, plastychnosti i povzuchosti. Kyiv: Vyshcha shkola, 308.
  20. Khalilpour, S., BaniAsad, E., Dehestani, M. (2019). A review on concrete fracture energy and effective parameters. Cement and Concrete Research, 120, 294–321. doi: https://doi.org/10.1016/j.cemconres.2019.03.013
  21. Levin, V. A., Morozov, E. M., Matvienko, Yu. G. (2004). Izbrannye nelineynye zadachi mekhaniki razrusheniya. Moscow: FIZMATLIT, 408.
  22. Munoz, H., Taheri, A., Chanda, E. K. (2016). Fracture Energy-Based Brittleness Index Development and Brittleness Quantification by Pre-peak Strength Parameters in Rock Uniaxial Compression. Rock Mechanics and Rock Engineering, 49 (12), 4587–4606. doi: https://doi.org/10.1007/s00603-016-1071-4
  23. Johansson, M., Bengtsson, M., Evertsson, M., Hulthén, E. (2017). A fundamental model of an industrial-scale jaw crusher. Minerals Engineering, 105, 69–78. doi: https://doi.org/10.1016/j.mineng.2017.01.012
  24. Liu, R., Shi, B., Li, G., Yu, H. (2018). Influence of Operating Conditions and Crushing Chamber on Energy Consumption of Cone Crusher. Energies, 11 (5), 1102. doi: https://doi.org/10.3390/en11051102
  25. Mischuk, Y., Nazarenko, I. (2019). Research of the dynamics of a vibratory jaw crusher of bilateral action. Gіrnichі, Budіvelnі, Dorozhnі Ta Melіorativnі Mashini, 94, 5–15. doi: https://doi.org/10.32347/gbdmm2019.94.0101

Downloads

Published

2021-08-31

How to Cite

Nazarenko, I., Mishchuk, Y., Mishchuk, D., Ruchynskyi, M., Rogovskii, I., Mikhailova, L., Titova, L., Berezovyi, M., & Shatrov, R. (2021). Determiantion of energy characteristics of material destruction in the crushing chamber of the vibration crusher . Eastern-European Journal of Enterprise Technologies, 4(7(112), 41–49. https://doi.org/10.15587/1729-4061.2021.239292

Issue

Section

Applied mechanics