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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2025 Number 3, Pages 45–53 (Mi ivm10073)

Method for calculating underground special structures under dynamic impacts and natural vibration

B. Z. Nuriddinovab, B. N. Mirzakabilova, U. S. Kurbonovc

a Tashkent Institute of Chemical Technology, 32 Navoi str., Tashkent, 100011 Republic of Uzbekistan
b Bukhara State University, 11 M. Ikbol str., Bukhara, 200117 Republic of Uzbekistan
c Jizzakh State Pedagogical University named after Abdulla Kadyri, 4 Sharof Rashidov str., Jizzakh, 130100 Republic of Uzbekistan

Abstract: The solution to the problem of vibrations of a vertically oriented rod under dynamic loads is considered. Studies on the investigation of the stress-strain state and natural vibration of special-purpose underground structures under dynamic loads have been analyzed. The problem of the vibration of a vertically oriented rod under dynamic loads has been solved. It has been established that the issue of ensuring their seismic resistance depends on the properties of the soil environment, the design features of the structure and the applied seismic protection measures, the geometric dimensions and physical-mechanical properties of the material of the structures, the depth of their foundation, the nature of seismic impacts, etc.

Keywords: cylindrical structure, foundation, structure's cover, soil, rod, beam, spherical wave.

UDC: 539.3

Received: 17.02.2024
Revised: 17.02.2024
Accepted: 20.03.2024

DOI: 10.26907/0021-3446-2025-3-45-53


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2025, 69:3, 37–43


© Steklov Math. Inst. of RAS, 2025