Journal
JOURNAL OF FLUIDS AND STRUCTURES
Volume 85, Issue -, Pages 275-291Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfluidstructs.2019.01.017
Keywords
Shell vibrations; Fluid-structure interaction; First-order shell theory; Thick pipe; Short pipe
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Funding
- Japan Society for the Promotion of Science [26709001]
- Grants-in-Aid for Scientific Research [26709001] Funding Source: KAKEN
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In this article, an analytical method to study the natural frequencies of free vibrations for a thick cylindrical shell filled with fluid is proposed. Mindlin's first-order shell theory is extended to derive the equations of motion and corresponding boundary conditions by Hamilton's principle. Linearized potential flow theory is used to derive the hydrodynamic force. Moreover, the internal fluid pressure acting on the shell wall is obtained by the assumption of a non-penetration condition. The dispersion equations are obtained under the assumption of harmonic motion. The derived shell theory is used to calculate the natural frequencies of cylindrical shells with various thicknesses and lengths, and the results are compared with Flugge's shell theory and finite-element method (FEM). As a result, the proposed shell theory shows improved accuracy and good agreement with published experimental results. (C) 2019 Elsevier Ltd. All rights reserved.
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