ON THE ANALYSIS OF A TUNNEL LINING OF OVAL CROSS-SECTION BY THE VARIATION METHOD

Demuri Tabatadze; Tebrole Kipiani; Kote Iashvili; Gela Macharashvili

doi:10.52340/building.2025.72.02.09

ON THE ANALYSIS OF A TUNNEL LINING OF OVAL CROSS-SECTION BY THE VARIATION METHOD

Authors

Demuri Tabatadze Georgian Technical University
Tebrole Kipiani Georgian Technical University
Kote Iashvili Georgian Technical University
Gela Macharashvili Georgian Technical University

DOI:

https://doi.org/10.52340/building.2025.72.02.09

Keywords:

cylindrical shell, spherical shell, differential equation, variational method, discontinuous solution

Abstract

A tunnel support (cylindrical shell) of oval cross-section, whose thickness and radius vary stepwise, is analyzed using the variational method.

A discontinuous solution of the governing differential equation is constructed based on the theory developed by Sh. E. Mikeladze.

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References

Vlasov, V. Z. General Theory of Shells and Its Applications in Engineering. Moscow, 1949.

L’Hernite. Resistance of Materials. Paris, 1954.

Mikeladze, Sh. E. New Methods of Integrating Differential Equations. Moscow-Leningrad, 1951.

Mikeladze, Sh. E. Some Problems of Structural Mechanics. Moscow-Leningrad, 1948

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Published

2026-01-29

How to Cite

Tabatadze, D., Kipiani, T., Iashvili, K., & Macharashvili, G. (2026). ON THE ANALYSIS OF A TUNNEL LINING OF OVAL CROSS-SECTION BY THE VARIATION METHOD. Scientific-Technical Journal "BUILDING", 2(72), 53–57. https://doi.org/10.52340/building.2025.72.02.09