Construction of a model of a shaft jumper based on the calculation scheme of a thick plate
S.V. Cherdantsev, O.V. Tailakov, P.A. Shlapakov, A.Yu. Erastov, K.S. Lebedev
Scientific Centre VOSTNII on industrial and ecological safety in mountain industry, Kemerovo, Russian Federation
Russian Mining Industry №1 / 2023 р. 110-116
Abstract: The development of coal deposits is accompanied by the release of methane from the destroyed coal and the formation of dust-gas-air mixtures predisposed to various negative gas and thermodynamic phenomena in the mine atmosphere, primarily deflagration and detonation processes, as a result of which shock waves are formed in the mine atmosphere, which in the conditions of coal mines can lead to catastrophic consequences. In order to prevent the spread of negative gas and thermodynamic phenomena in the mine atmosphere, mine bridges are used at coal enterprises. To date, quite a lot of designs of mine jumpers have been developed, as well as technological schemes for their construction. However, the available methods for determining the parameters of jumpers, in our opinion, do not correspond to the real conditions of their operation and therefore do not meet modern requirements for ensuring the reliability of jumpers. This article discusses the stress-strain state in a shaft bridge of circular cross-section based on the classical model of a thick plate of cylindrical shape. In the article, the boundary value problem of the theory of thick plates in a linear formulation is formulated and its solution is constructed, as a result of which the components of stresses and displacements in the bridge under the influence of pressure caused by a shock wave are found. Stress graphs are constructed that vary along the longitudinal axis of the bridge and along the radius of its cross section. Some regularities of stress distribution in the shaft bridge are noted.
Keywords: mine workings, mine bridges, stress state components, generalized Hooke's law, boundary value problem of the bridge equilibrium, stress functions, Laplace equation, Lame problem
For citation: Cherdantsev S.V., Tailakov O.V., Shlapakov P.A., Erastov A.Yu., Lebedev K.S. Construction of a model of a shaft jumper based on the calculation scheme of a thick plate. Russian Mining Industry. 2023;(1):110–116. https://doi.org/10.30686/1609-9192-2023-1-110-116
Article info
Received: 26.01.2023
Revised: 08.02.2023
Accepted: 09.02.2023
Information about the author
Sergei V. Cherdantsev – Dr. Sci. (Eng.), Leading Researcher, Scientific Centre VOSTNII on industrial and ecological safety in mountain industry (JSC “NC VOSTNII”), Kemerovo, Russian Federation, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Pavel A. Shlapakov – Cand. Sci. (Eng.), Laboratory Head, Scientific Centre VOSTNII on industrial and ecological safety in mountain industry (JSC “NC VOSTNII”), Kemerovo, Russian Federation, е-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Kirill S. Lebedev – Senior Researcher, Scientific Centre VOSTNII on industrial and ecological safety in mountain industry (JSC “NC VOSTNII”), Kemerovo, Russian Federation, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Anton Yu. Erastov – Senior Researcher, Scientific Centre VOSTNII on industrial and ecological safety in mountain industry (JSC “NC VOSTNII”), Kemerovo, Russian Federation, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Sergei A. Khaymin – Senior Researcher, Scientific Centre VOSTNII on industrial and ecological safety in mountain industry (JSC “NC VOSTNII”), Kemerovo, Russian Federation, е–mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
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