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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2018 Volume 59, Issue 4, Pages 195–203 (Mi pmtf564)

This article is cited in 2 papers

Nonlinear parametric vibrations of a longitudinally stiffened orthotropic cylindrical shell with filler

F. S. Latifova, M. A. Mekhtievb

a Azerbaijan Architecture and Construction University, Baku, AZ 1073, Azerbaijan
b Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Baku, AZ 1141, Azerbaijan

Abstract: Using the variational principle in a geometrically nonlinear formulation The problem of parametric vibrations of a longitudinally stiffened orthotropic cylindrical shell in contact with an elastic medium and under internal pressure is solved in a geometrically nonlinear formulation using the variational principle. The influence of the external medium is taken into account using the Pasternak model. Amplitude-frequency dependences are constructed for parametric vibrations of a stiffened orthotropic cylindrical shell filled the medium.

Keywords: cylindrical shell, filler, nonlinear parametric vibrations, variational principle, stiffened shell.

UDC: 539.3

Received: 10.03.2017
Revised: 18.09.2017

DOI: 10.15372/PMTF20180422


 English version:
Journal of Applied Mechanics and Technical Physics, 2018, 59:4, 747–754

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© Steklov Math. Inst. of RAS, 2024