Initially tensioned orthotropic cylindrical shells conveying fluid: a vibration analysis

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

Research output: Contribution to journalArticle

12 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.
LanguageEnglish
Pages53-70
Number of pages17
JournalJournal of Fluids and Structures
Volume16
Issue number1
DOIs
Publication statusPublished - Jan 2002

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Conveying
Vibration analysis
Fluids
Stiffness matrix
Hydrostatic pressure
Elasticity
Damping
Finite element method

Keywords

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

Cite this

Zhang, Y.L. ; Reese, J.M. ; Gorman, D.G. / Initially tensioned orthotropic cylindrical shells conveying fluid: a vibration analysis. In: Journal of Fluids and Structures. 2002 ; Vol. 16, No. 1. pp. 53-70.
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Initially tensioned orthotropic cylindrical shells conveying fluid: a vibration analysis. / Zhang, Y.L.; Reese, J.M.; Gorman, D.G.

In: Journal of Fluids and Structures, Vol. 16, No. 1, 01.2002, p. 53-70.

Research output: Contribution to journalArticle

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