Analytical solution for free vibration of flexible 2D rectangular tanks

This paper provides a brief literature review on dynamic behavior of liquid storage containers. Moreover, the free vibration of two-dimensional deformable rectangular tanks fully-filled with a compressible fluid is analytically investigated, and the exact solutions are derived. In this study, the fl...

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Bibliographic Details
Published inOcean engineering Vol. 122; pp. 118 - 135
Main Authors Rezaiee-Pajand, M., Aftabi S., A., Kazemiyan, M.S.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2016
Subjects
Brackish
Closed-form solution
Compressibility
Exact solutions
Fluid-structure interaction
Free vibration
Hydrodynamic pressure
Liquids
Marine
Mathematical analysis
Mathematical models
Mode shape
Natural frequency
Tanks
Two dimensional
Natural frequency
Closed-form solution
Hydrodynamic pressure
Mode shape
Free vibration
Fluid-structure interaction
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Summary:This paper provides a brief literature review on dynamic behavior of liquid storage containers. Moreover, the free vibration of two-dimensional deformable rectangular tanks fully-filled with a compressible fluid is analytically investigated, and the exact solutions are derived. In this study, the fluid-structure interaction is rigorously considered, and the fluid is assumed to be irrotational, inviscid and compressible. Furthermore, a closed-form expression is introduced for evaluating the fundamental frequency of the flexible 2D rectangular tanks filled with compressible liquid. In addition, an approximate formula is suggested to determine the corresponding pressure distribution on tank walls. Finally, numerical examples are performed to verify the presented closed-form relations. To study the effect of various parameters on natural frequencies and mode shapes of the fluid-structure system, a sensitivity analysis is also conducted.
Bibliography:ObjectType-Article-1
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content type line 23
ISSN:0029-8018
1873-5258
DOI:10.1016/j.oceaneng.2016.05.052