NONLINEAR PARAMETRIC VIBRATIONS OF A LONGITUDINALLY STIFFENED ORTHOTROPIC CYLINDRICAL SHELL FILLED WITH A VISCOUS FLUID

Nonlinear parametric vibrations of a longitudinally stiffened orthotropic cylindrical shell filled with a viscous fluid are studied. Fluid motion is described using the linearized Navier–Stokes equation. Equations of motion for the stiffened orthotropic shell filled with the viscous fluid are obtain...

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Bibliographic Details
Published in:Journal of applied mechanics and technical physics 2022-02, Vol.63 (1), p.161-171
Main Authors: Pirmamedov, I. T., Latifov, F. S., Khudieva, A. I.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical and Continuum Physics
Classical Mechanics
Cylindrical shells
Equations of motion
Fluid- and Aerodynamics
Mathematical Modeling and Industrial Mathematics
Mechanical Engineering
Orthotropic shells
Physics
Physics and Astronomy
Stiffening
Viscous fluids
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Summary:Nonlinear parametric vibrations of a longitudinally stiffened orthotropic cylindrical shell filled with a viscous fluid are studied. Fluid motion is described using the linearized Navier–Stokes equation. Equations of motion for the stiffened orthotropic shell filled with the viscous fluid are obtained based on the Ostrogradsky–Hamilton stationary principle. The dependences of the ratio of the nonlinear to linear frequency on the deflection of the shell are determined for different numbers of stiffening ribs.
ISSN:0021-8944
1573-8620
DOI:10.1134/S0021894422010229