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JOURNALS // Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy // Archive

Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2025 Volume 12, Issue 1, Pages 186–196 (Mi vspua349)

MECHANICS

Buckling of the cylindrical shell closed with the flat cap under external lateral pressure

S. B. Filippov

St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation

Abstract: Buckling under uniform external pressure of à thin cylindrical shell joined at an edge with the circular plate is analyzed by means of the asymptotic method. Two types of buckling are considered. The axisymmetric buckling mode of the first type is localized on the surface of the plate. The buckling mode of the second type is closed to the buckling mode of the no stiffened shell and has many waves is the circumferential direction.

Keywords: joint thin shells, buckling, asymptotic methods, optimization.

UDC: 539.3:517.927.25

MSC: 74G10, 74G60

Received: 03.07.2024
Revised: 22.08.2024
Accepted: 29.08.2024

DOI: 10.21638/spbu01.2025.114



© Steklov Math. Inst. of RAS, 2026