Articles
Static continuous bulk material model for inclined bunker section
- Details
- Category: Content №1 2025
- Last Updated on 25 February 2025
- Published on 30 November -0001
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Authors:
A.V.Radkevytch, orcid.org/0000-0001-6325-8517, Zhejiang Guangsha Vocational and Technical University of Construction, Dongyang, the People’s Republic of China; Ukrainian State University of Science and Technologies, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
D.O.Bannikov*, orcid.or, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it./0000-0002-9019-9679, Ukrainian State University of Science and Technologies, Dnipro, Ukraine
H.Wu, orcid.org/0000-0003-0857-6883, Zhejiang Guangsha Vocational and Technical University of Construction, Dongyang, the People’s Republic of China, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
X.Cheng, orcid.org/0009-0004-7648-9348, Zhejiang Guangsha Vocational and Technical University of Construction, Dongyang, the People’s Republic of China, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
* Corresponding author e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2025, (1): 048 - 054
https://doi.org/10.33271/nvngu/2025-1/048
Abstract:
Purpose. Obtaining an analytical pattern of pressure distribution of bulk material based on the classical Jansen’s model for an inclined outlet part of a hopper with an arbitrary cross-sectional shape.
Methodology. The work used a set of research methods, including scientific analysis and synthesis of available technical information regarding the current regulatory and professional approaches to determining the pressure from bulk material in container structures. Computer modeling methods based on the numerical method of structural mechanics ‒ the finite element method ‒ were also used. Analysis of the performance of structural options was carried out using the SCAD design and computing complex (Ukraine). A separate direction in the work was design developments, which included methods for engineering assessment of the accuracy and reliability of the results obtained.
Findings. An analytical expression for determining the vertical pressure of bulk material is obtained, which reflects in a closed form the regularities of its distribution for the case of a straight inclined rigid wall of the outlet part of the hopper container with an arbitrary cross-sectional shape. The pressure value of the bulk material according to this expression quantitatively exceeds the pressure value according to known analytical models. This gives grounds to believe that when loading the hopper structures, a change in the structure of the bulk material occurs, which is described in the literature as its loosening.
Originality. The conducted researches allowed for the first time to establish the regularities of the pressure distribution of bulk material during static operation of a hopper structure with straight inclined walls. The obtained expression is structurally the product of two power functions, in which the exponent is the expressions that reproduce the geometry of the outlet part of the hopper structure and the material of its side walls.
Practical value. The obtained expression allows to calculate the vertical and, if necessary, normal pressure of bulk material for straight inclined walls of hopper structures. It is proved that the pressure increases significantly with increasing its depth, which in the case of unloading the container should lead to the destruction of the static form of laying of bulk material. The developed model is the basis for a more detailed consideration of the characteristics of bulk material, such as the density of laying or the angle of laying.
Keywords: bulk material, Jansens’s model, bunker, hopper, container
References.
1. Carson, J., & Craig, D. (2015). Silo design codes: Their limits and inconsistencies. Procedia Engineering, 102, 647-656. https://doi.org/10.1016/j.proeng.2015.01.157.
2. EN 1991-4 (2006). Eurocode 1. Actions on structures. Part 4: Silos and Tanks. Brussels: European Committee for Standardization. Retrieved from https://www.phd.eng.br/wp-content/uploads/2015/12/en.1991.4.2006.pdf.
3. DIN 1055-6:2005-03 (2005). Actions on structures. Part 6: Design loads for buildings and loads in silo bins. Berlin: Deutsches Institut für Normung. Retrieved from https://ru.scribd.com/document/530599186/DIN-1055-6-2005-Silo.
4. ACI 313-97 (1997). Standard practice for design and construction of concrete silos and stacking tubes for storing granular materials. American Concrete Institute, Farmington Hills. Retrieved from http://civilwares.free.fr/ACI/MCP04/313_97.pdf.
5. ANSI/ASAE EP433 DEC 1998 (R2011) (2011). Loads exerted by free-flowing grain on bins. American Society of Agricultural and Biological Engineers, St. Joseph MI. Retrieved from https://pdfcoffee.com/ansi-asabe-ep433-dec1988-r2011-3-pdf-free.html.
6. AS 3774-1996 (1996). Loads on bulk solids containers. Standards Australia, Homebush, NSW. Retrieved from https://pdfcoffee.com/as-3774-pdf-free.html.
7. DBN V.2.2-8-98 (1998). Enterprises, buildings and structures for grain storage and processing. Kyiv: DergBUD of Ukraine. Retrieved from https://e-construction.gov.ua/laws_detail/3187336869633328368?doc_type=2.
8. GB 50322-2011 (2011). Code for design of grain steel silo. Chine. Retrieved from http://www.szelec.cc/zb_users/upload/2023/12/202312191702994834274375.pdf.
9. EN 1993-4-1 (2007). Eurocode 3. Design of steel structures. Part 4-1: Silos. Brussels: European Committee for Standardization. Retrieved from https://www.phd.eng.br/wp-content/uploads/2015/12/en.1993.4.1.2007.pdf.
10. Oleksiienko, S., Yushchenko, S., Rudenko, M., & Grechka, V. (2021). Project of prismatic bunker structure and estimation of accepted solutions efficiency. Technical sciences and technologies, 4(26), 33-42. https://doi.org/10.25140/2411-5363-2021-4(26)-33-42.
11. DSTU-N B EN 1991-4:2012 (2012). Eurocode 1. Actions on structures. Part 4. Bunkers and tanks. Kyiv: DP “UkrNDNZ”. Retrieved from https://uscc.ua/uploads/page/images/normativnye%20dokumenty/dstu/proektuvannya-mk-mizhnarodna-gilka-standarty/dstu-n-en-1991-4.pdf.
12. Alkhdour, A., Tiutkin, O., Bannikov, D., & Heletiuk, I. (2023). Substantiating the parameters for a non-circular structure of the mine shaft under construction in a heterogeneous rock massif. IOP Conference Series: Earth and Environmental, 1156(1), 012008. https://doi.org/10.1088/1755-1315/1156/1/012008.
13. Makhinko, A., & Makhinko, N. (2023). Comparative analysis of actions on silos according to DBN “Enterprises, buildings and structures for storage and processing of grain’ and DSTU EN “actions on structures: Silos and tanks”. AIP Conference Proceedings, 2678, 020012. https://doi.org/10.1063/5.0118659.
14. Shimanovsky, O., Makhinko, A., Makhinko, N., Vorontsov, O., & Kordun, O. (2024). Probabilistic analysis of elevated steel silos for seismic resistance. IOP Conference Series: Earth and Environmental Science, 1376(1), 012019. https://doi.org/10.1088/1755-1315/1376/1/012019.
15. Bannikov, D. O., & Tiutkin, O. L. (2020). Prospective directions of the development of loose medium mechanics. Science and Innovation. 16(2), 42-50. https://doi.org/10.15407/scin16.02.045.
16. Bannikov, D. O. (2011). Analysis of the causes of accidents of steel capacitive structures for bulk materials. Metallurgical and Mining Industry, 3(5), 243-249.
17. Dakov, D., Georgiev, V., & Boiadjieva, R. (2022). Failures of steel silos for grain storage ‒ fortuity or underestimated risk. IABSE Congress Nanjing 2022 Bridges and Structures: Connection, Integration and Harmonisation, 1-7. https://doi.org/10.2749/nanjing.2022.1617.
18. Hezentsvei, Y., & Bannikov, D. (2020). Effectiveness evaluation of steel strength improvement for pyramidal-prismatic bunkers. EUREKA: Physics and Engineering, 2020(2), 30-38. https://doi.org/10.21303/2461-4262.2020.001146.
19. Lapenko, A., Makhinko, A., & Makhinko, N. (2017). To the question of structural analysis of silo structures made of high-strength steels. Collection of scientific works of the Ukrainian State University of Railway Transport, 170, 85-92. https://doi.org/10.18664/1994-7852.170.2017.111295.
20. Bannikov, D., Tiutkin, O., Hezentsvei, Y., & Muntian, A. (2024). Controlling the dynamic characteristics of steel bunker containers for bulk materials. IOP Conference Series: Earth and Environmental Science, 1348(1), 012002. https://doi.org/10.1088/1755-1315/1348/1/012002.
21. Liu, R., & Li, D. A. (2024). Study on the impact of low-frequency random loading and unloading on silo structures. Applied Sciences, 14, 5687. https://doi.org/10.3390/app14135687.
22. Mahamid, M., Gaylord, E. H., & Gaylord, C. N. (Eds.) (2020). Structural Engineering Handbook (5 th ed). McGraw-Hill, 896. Retrieved from https://books.google.com.ua/books/about/Structural_Engineering_Handbook_Fifth_Ed.html?id=wuneDwAAQBAJ&redir_esc=y.
23. Dikteruk, M. G., Kravchyuk, V. T., Zasluzennii, A. S., & Chovnyuk, Y. V. (2018). Investigation of free-flowing bulk material’s movement laws at vertical vessels (silos/bunker): monitoring of static stress state and analysis of efflux by the second form at the general definition of a problem. HNTU Herald: Mathematical Modeling of Physical and Technological Processes and Technical Systems, 1, 3(66), 55-73. Retrieved from file:///C:/Users/DIMA/Downloads/Vkhdtu_2018_3(1)__9.pdf.
24. Bofang, Z. (2018). The finite element method: fundamentals and applications in civil, hydraulic, mechanical and aeronautical engineering. Singapore: John Wiley & Sons Singapore Pte. Ltd. https://doi.org/10.1002/9781119107323.
25. Zienkiewicz, O. C., Taylor, R. L., & Fox, D. D. (2014). The finite element method for solid and structural mechanic. 7th edition. Elseveir LTD. Retrieved from https://www.sciencedirect.com/book/9781856176347/the-finite-element-method-for-solid-and-structural-mechanics.
26. Gandia, R. M., de Paula, W. C., de Oliveira Junior, E. A., Rodrigo, G. H., Padín, Á. R., Vegas, A. T., Gomes, F. C., & Rodríguez, P. J. A. (2022). Effect of the hopper angle of a silo on the vertical stress at the cylinder-to-hopper transition. Agronomy, 12, 830. https://doi.org/10.3390/agronomy12040830.
27. Horabik, J., & Molenda, M. (2017). Distribution of static pressure of seeds in a shallow model silo. (1998). Institute of Agrophysics. 31, 167-174. https://doi.org/10.1515/intag-2016-0038.
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