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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.