Initially tensioned orthotropic cylindrical shells conveying fluid: a vibration analysis

Y.L. Zhang, J.M. Reese, D.G. Gorman

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

A linear analysis of the vibratory behaviour of initially tensioned orthotropic circular cylindrical shells conveying a compressible inviscid fluid is presented. The model is based on the three-dimensional nonlinear theory of elasticity and the Eulerian equations. A nonlinear strain-displacement relationship is employed to derive the geometric stiffness matrix due to initial stresses and hydrostatic pressures. Frequency-dependent fluid mass, damping and stiffness matrices associated with inertia, Coriolis and centrifugal forces, respectively, are derived through the fluid-structure coupling condition. The resulting equation governing the vibration of fluid-conveying shells is solved by the finite element method. The free vibration of initially tensioned orthotropic cylindrical shells conveying fluid is investigated; numerical examples are given and discussed.
Original languageEnglish
Pages (from-to)53-70
Number of pages17
JournalJournal of Fluids and Structures
Volume16
Issue number1
DOIs
Publication statusPublished - Jan 2002

Keywords

  • orthotropic circular cylindrical shells
  • compressible inviscid fluid
  • elasticity
  • Eulerian equations

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