The natural frequencies of free vibrations for thick cylindrical shells with clamped-clamped ends conveying fluid are investigated. Equations of motion and boundary conditions are derived by Hamilton’s principle based on the new high order shell theory. The hydrodynamic force is derived from the linearized potential flow theory. Besides, fluid pressure acting on the shell wall is gotten by the assumption of non-penetration condition. The out-of-plane and in-plane vibrations are coupled together due to the existence of fluid-solid-interaction (FSI). Under the assumption of harmonic motion, the dispersion relationships are presented. Using the method of frequency sweeping, the natural frequencies of symmetric modes and asymmetric modes corresponding to each flow velocity are found by satisfying the dispersion relationship equations and boundary conditions. Several numerical examples with different flow velocities and thickness are presented compared with previous thin shell theory and FEM results and show reasonable agreement. The effects of thickness are discussed.
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ASME 2017 Pressure Vessels and Piping Conference
July 16–20, 2017
Waikoloa, Hawaii, USA
Conference Sponsors:
- Pressure Vessels and Piping Division
ISBN:
978-0-7918-5798-4
PROCEEDINGS PAPER
Theoretical Analysis of Free Vibrations Based on a New High Order Shell Theory for Cylindrical Shells Conveying Fluid Available to Purchase
Ming Ji,
Ming Ji
Tokyo Institute of Technology, Tokyo, Japan
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Kazuaki Inaba
Kazuaki Inaba
Tokyo Institute of Technology, Tokyo, Japan
Search for other works by this author on:
Ming Ji
Tokyo Institute of Technology, Tokyo, Japan
Kazuaki Inaba
Tokyo Institute of Technology, Tokyo, Japan
Paper No:
PVP2017-65604, V005T11A015; 10 pages
Published Online:
October 26, 2017
Citation
Ji, M, & Inaba, K. "Theoretical Analysis of Free Vibrations Based on a New High Order Shell Theory for Cylindrical Shells Conveying Fluid." Proceedings of the ASME 2017 Pressure Vessels and Piping Conference. Volume 5: High-Pressure Technology; ASME Nondestructive Evaluation, Diagnosis and Prognosis Division (NDPD); SPC Track for Senate. Waikoloa, Hawaii, USA. July 16–20, 2017. V005T11A015. ASME. https://doi.org/10.1115/PVP2017-65604
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