A finite element method for modelling the vibration of initially tensioned thin-walled orthotropic cylindrical tubes conveying fluids

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

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

This paper presents a method for the dynamic analysis of initially tensioned orthotropic thin-walled cylindrical tubes conveying steady fluid flow, based on Sanders' non-linear theory of thin shells and the classical potential flow theory. The method is relatively straightforward, using a hydrodynamic pressure formulation derived from the velocity potential, a dynamic coupling condition at the fluid-structure interface and two-noded frustum elements to assess the dynamic behaviour of these tube/fluid systems accurately. A non-linear strain-displacement relationship is also deployed to derive the geometric stiffness matrix due to the initial stresses and hydrostatic pressures. The equations of motion for the tube and fluid are solved by a finite element method, and this is validated by comparing the natural frequencies obtained with other published results. The influence of material properties, fluid flow velocities and initial axial tensions on the natural frequencies is then illustrated and discussed.
Original languageEnglish
Pages (from-to)93-112
Number of pages19
JournalJournal of Sound and Vibration
Volume245
Issue number1
DOIs
Publication statusPublished - 2 Aug 2001

Keywords

  • finite elment analysis
  • sound
  • vibration
  • mechanical engineering

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