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- STRUCTURAL MECHANICS
- Modeling Of Deformations Of A Cylindrical Shell Filled With Liquid In A Potential Wind Flow
- UDC 624.074.433
doi: 10.33622/0869-7019.2026.03.22-28
Daniil S. ERMOLIN, ist.ermolin.daniil@yandex.ru
Alexey A. SEMENOV, sw.semenov@gmail.com
Saint Petersburg State University of Architecture and Civil Engineering, 2-ya Krasnoarmeyskaya ul., 4, St. Petersburg 190005, Russian Federation
Abstract. The paper presents a numerical simulation of the stress-strain state of a cylindrical shell partially filled with liquid and located in a static potential wind flow. The model is based on the Timoshenko-Reissner theory and the variational principle of minimizing the total energy of elastic deformation. The Ritz method with a tensor finite element basis is used to approximate the displacements of the median surface. The implementation was performed in the MATLAB environment using the Symbolic Toolbox library for generating analytical expressions and the Optimization Toolbox library for solving a nonlinear system of equations using the Levenberg-Marquardt method. The results of computational experiments show that the maximum deflections and equivalent stresses according to the Mises criterion are localized on the windward side of the shell. The data obtained confirm the need to take aeroelastic interaction into account when designing and diagnosing large vertical cylindrical tanks.
Keywords: cylindrical shell, wind load, hydrostatic pressure, potential flow, Ritz method, stress-strain state, aeroelastic interaction, vertical reservoir - REFERENCES
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