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Initially tensioned orthotropic cylindrical shells conveying fluid: a vibration analysis

Zhang, Y.L. and Reese, J.M. and Gorman, D.G. (2002) Initially tensioned orthotropic cylindrical shells conveying fluid: a vibration analysis. Journal of Fluids and Structures, 16 (1). pp. 53-70. ISSN 0889-9746

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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.

Item type: Article
ID code: 5063
Keywords: orthotropic circular cylindrical shells, compressible inviscid fluid, elasticity, Eulerian equations, Mechanical engineering and machinery, Mechanical Engineering
Subjects: Technology > Mechanical engineering and machinery
Department: Faculty of Engineering > Mechanical and Aerospace Engineering
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 05 Jan 2008
    Last modified: 04 Sep 2014 15:09
    URI: http://strathprints.strath.ac.uk/id/eprint/5063

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