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Numerical study of the influence of boundary conditions on the dynamic behavior of a cylindrical shell conveying a fluid

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Abstract

We consider a finite element algorithm intended to study the dynamic behavior of an elastic cylindrical shell filled with an immovable or flowing fluid. To describe the fluid, we use the perturbed velocity potential whose equations with the corresponding boundary conditions are solved by the Bubnov-Galerkin method. To describe the shell, we use the variation principle, which includes the linearized Bernoulli equation for calculating the hydrodynamic pressure acting on the shell on the side of the fluid. Solving the problem is reduced to calculating and analyzing the eigenvalues of the coupled system of equations obtained as a result of combining the equations for the perturbed velocity potential and the shell displacements. We consider several test problems in which, along with the comparison of the computational results with the earlier published experimental, analytic, and numerical data, we also study the dynamic behavior of the “shell-fluid” system for various boundary conditions for the perturbed velocity potential.

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Authors and Affiliations

  1. Institute of Continuous Media Mechanics, Ural Branch of Russian Academy of Sciences, Akad. Korolyova 1, Perm, 614013, Russia

    S. A. Bochkarev & V. P. Matveenko

Authors
  1. S. A. Bochkarev
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  2. V. P. Matveenko
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Correspondence to S. A. Bochkarev.

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Original Russian Text © S.A. Bochkarev, V.P. Matveenko, 2008, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2008, No. 3, pp. 189–199.

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Bochkarev, S.A., Matveenko, V.P. Numerical study of the influence of boundary conditions on the dynamic behavior of a cylindrical shell conveying a fluid. Mech. Solids 43, 477–486 (2008). https://doi.org/10.3103/S0025654408030187

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