Open AccessVIBRATIONS OF A LONGITUDINALLY STIFFENED, LIQUID-FILLED CYLINDRICAL SHELL IN LIQUID
Author(s) -
Najibeh Alizadeh
Publication year - 2020
Publication title -
problemi občislûvalʹnoï mehanìki ì mìcnostì konstrukcìj
Language(s) - English
Resource type - Journals
ISSN - 2079-1836
DOI - 10.15421/4220020
Subject(s) - orthotropic material , shell (structure) , vibration , viscous liquid , action (physics) , mechanics , equations of motion , physics , separation of variables , motion (physics) , classical mechanics , materials science , composite material , acoustics , thermodynamics , finite element method , partial differential equation , quantum mechanics
In the paper we study free vibrations of a longitudinally stiffened, viscous liquid-filled orthotropic cylindrical shell in ideal liquid. The Navier – Stokеs linearized equation is used to describe the motion of the internal viscous liquid, the motion of the external liquid is described by a wave equation written in the potential by perturbed velocity. Frequency equation of a longitudinally stiffened orthotropic, viscous liquid-contacting cylindrical shell is obtained on the basis of the Hamilton – Ostrogradsky principle of stationarity of action. Characteristic curves of dependence are constructed.