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

Zhang, Y.L. and Gorman, Daniel G. and Reese, J.M. (2001) A finite element method for modelling the vibration of initially tensioned thin-walled orthotropic cylindrical tubes conveying fluids. Journal of Sound and Vibration, 245 (1). pp. 93-112. ISSN 0022-460X

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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.

Item type: Article
ID code: 5965
Keywords: finite elment analysis, sound, vibration, mechanical engineering, Mechanical engineering and machinery
Subjects: Technology > Mechanical engineering and machinery
Department: Faculty of Engineering > Mechanical and Aerospace Engineering
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 02 May 2008
    Last modified: 12 Mar 2012 10:44
    URI: http://strathprints.strath.ac.uk/id/eprint/5965

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