Open AccessFORCED VIBRATIONS OF A INHOMOGENEOUS ORTHOTROPIC CYLINDRICAL SHELL STIFFENED WITH A CROSS-SYSTEM OF RIBS IN LIQUID
Author(s) -
H.K. Ismayilov
Publication year - 2020
Publication title -
problemi občislûvalʹnoï mehanìki ì mìcnostì konstrukcìj
Language(s) - English
Resource type - Journals
ISSN - 2079-1836
DOI - 10.15421/4220021
Subject(s) - orthotropic material , shell (structure) , vibration , rib cage , equations of motion , materials science , mechanics , surface (topology) , spherical shell , structural engineering , geometry , composite material , physics , classical mechanics , finite element method , mathematics , engineering , acoustics
In the paper we study forced vibrations of an orthotropic cylindrical shell inhomogeneous in thickness and stiffened with a cross-system of ribs in liquid under the action of inner radial pressure pulsating in time. Based on Hamilton – Ostrogradsky variational principle, we construct a system of equations to determine the displacements of the mid-surface points of an orthotropic cylindrical shell inhomogeneous in thickness and stiffened with a cross-system of ribs under dynamical interaction with liquid. Surface loads acting on the cylindrical shell inhomogeneous in thickness and stiffened with a cross-system of ribs as viewed from liquid are determined from the solutions of liquid motion equations written in potentials. Analytic formulas for finding the displacements of the midsurface points of a liquid-contacting orthotropic cylindrical shell inhomogeneous in thickness and stiffened with a cross-system of ribs, were obtained.