SAFETY
Original Paper
UDC 622.272:516.02 © S.V. Cherdantsev, A.Yu. Erastov, 2023
ISSN 0041-5790 (Print) • ISSN 2412-8333 (Online) • Ugol’ – Russian Coal Journal, 2023, № 2, pp. 34-40
DOI: http://dx.doi.org/10.18796/0041-5790-2023-2-34-40
Title
MATHEMATICAL MODELING OF THE STRESS STATE IN THE SHAFT BRIDGE INSTALLED
IN THE DEVELOPMENT OF A CIRCULAR CROSS-SECTION
Authors
Cherdantsev S.V.1, ErastovA.Yu.1
1Join-stock company "Scientific centre VOSTNII on industrial and ecological safety in mountain industry" (JC "NC VOSTNII"), Kemerovo, 650002, Russian Federation
Authors Information
Cherdantsev S.V., Doctor of Engineering Sciences, Chief Researcher, e-mail: svch01@yandex.ru
Erastov A.Yu.,Senior researcher e-mail: eractov_a_y@mail.ru
Abstract
In order to prevent the spread of thermophysical and gas-dynamic processes in the mine atmosphere of coal enterprises, mine bridges are used. To date, there is a wide variety of designs of mine bridges and technological schemes of their construction. At the same time, the available methods for calculating jumpers, in our opinion, do not meet modern requirements for ensuring the reliability of mine jumpers. In this article, an attempt is made to calculate shaft jumpers based on the fundamental provisions of the mechanics of a solid deformable body. In particular, an axisymmetric boundary value problem of elasticity theory is considered, during the solution of which formulas for determining the components of the stress state in a shaft concrete bridge are obtained, graphs of stress components are constructed and some regularities of their distribution in the bridge are revealed.
Keywords
Mining, Mine bridges, Stress state components, Generalized Hooke's law, Axisymmetric problem of elasticity theory, Hyperbolic functions and Bessel functions.
References
1. Lindenau N.I., Mayevskaya V.M. & Krylov V. F. Origin, prevention and extinguishing of endogenous fires in coal mines. Moscow, Nedra Publ., 1977, 320 p. (In Russ.).
2. ChanyshevA.I. Amethodtodetermineabody’sthermal state.Journal of Mining Science, 2012, Vol. 48, (4), pp660–668.
3. Zykov V.S. On the mechanism of formation of an outlier situation in the treatment face of a coal mine. Surveying Bulletin, 2016, (5), pp. 44-48. (In Russ.).
4. Cherdantsev N.V. On one approach to the calculation of coal emissions from a gas-bearing reservoir containing geological disturbances. Occupational safety in industry, 2019, (8), pp. 13-18. (In Russ.).
5. Cherdantsev S.V., Shlapakov P.A., Shlapakov Е.A., Lebedev K.S. & Erastov A.Yu. Thermophysical and gas-dynamic conditions of deflagration and detonation processes in dust-gas-air flows of mine workings near the centers of self-heating. Khimicheskaya fizika i mezoskopiya, 2019, Vol. 21, (2), pp. 179-189. (In Russ.).
6. Cherdantsev S.V., Shlapakov P.A., Lebedev K.S. & Kolykhalov V.V. Formation of detonation process in case of sudden gas release into mining at supersonic speed. Gornyj informatsionno-analiticheskij byulleten, 2019, (7), pp. 62-73. (In Russ.).
7. Kurlenya M.V. & Skritsky V.A. Methane Explosions and Causes of Their Origin in Highly Productive Sections of Coal Mines. Journal of Mining Science, 2017, Vol. 53, (5), pp 861–867.
8. Nurgaliev E.I. Substantiation and development of technology for isolation of reservoir workings by pipe-less monolithic lintels with simultaneous construction of grouting curtains. Phd Eng. abstract. diss. Kemerovo, FGOU "Kuzbass State Technical University named after T.F. Gorbachev", 2021, 22 p. (In Russ.).
9. Koltunov M.A., Vasiliev Yu.N. & Chernykh V.A. Elasticity and strength of cylindrical bodies. Moscow, Higher School Publ.,1975, 526 p. (In Russ.).
10. Solyanik-Krassa K.V. Axisymmetric problem of elasticity theory. Moscow, Stroyizdat Publ., 1987, 336 p. (In Russ.).
11. KolskyH. Stress waves in solids. Oxford, 1953, 192 p.
12. Koshlyakov N.S., Gliner E.B., Smirnov M.M. Partial differential equations of mathematical physics. Moscow, Higher School Publ., 1970, 712 p. (In Russ.).
13. Ilyin V.A. & Poznyak E.G. Linear algebra. Moscow, FIZMATLIT Publ., 2005, 280 p. (In Russ.).
14. Alekseev E.R. & Chesnokova O.V. Solving computational mathematics problems in Mathcad 12, MATLAB 7, Maple 9. Moscow, NT Press Publ., 2006, 496 p. (In Russ.).
Acknowledgements
The research is conducted as part of the comprehensive scientific and technical program of a complete innovative cycle "Development and implementation of a complex of technologies in the fields of exploration and extraction of minerals, ensuring of industrial safety, bioremediation, creation of new products of deep processing of coal raw materials with consecutive amelioration of ecological impact on the environment and risks to human life", approved by the Decree of the Government of the Russian Federation from 11.05.2022 №1144-r.
For citation
Cherdantsev S.V. & Erastov A.Yu. Mathematical modeling of the stress state in the shaft bridge installed in the development of a circular cross-section. Ugol’, 2023, (2), pp. 34-40. (In Russ.). DOI: 10.18796/0041-5790-2023-2-34-40.
Paper info
ReceivedDecember 12, 2022
Reviewed December 25, 2022
Accepted January 26, 2023
