Vibration of pre-stressed thin cylindrical shells conveying fluid

Y.L. Zhang, Daniel Gorman, Jason Reese

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Abstract

A general approach to modelling the vibration of prestressed thin cylindrical shells conveying fluid is presented. The steady flow of fluid is described by the classical potential flow theory, and the motion of the shell is represented by Sanders' theory of thin shells. A strain-displacement relationship is deployed to derive the geometric stiffness matrix due to the initial stresses caused by hydrostatic pressure. Hydrodynamic pressure acting on the shell is developed through dynamic interfacial coupling conditions. The resulting equations governing the motion of the shell and fluid are solved by a finite element method. This model is subsequently used to investigate the small-vibration dynamic behaviour of prestressed thin cylindrical shells conveying fluid. It is validated by comparing the computed natural frequencies, within the linear region, with existing reported experimental results. The influence of initial tension, internal pressure, fluid flow velocity and the various geometric properties is also examined.
Original languageEnglish
Pages (from-to)1103-1127
Number of pages24
JournalThin-Walled Structures
Volume41
Issue number12
DOIs
Publication statusPublished - Dec 2003

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Keywords

  • vibration
  • thin cylindrical shells
  • natural frequency
  • finite element method
  • fluid-structure interaction
  • mechanical engineering

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