Viscous Hydroelastic Vibrations in a Cylindrical Container With an Elastic Bottom

Bauer, Helmut F.; Chiba, Masakatsu

doi:10.1006/jsvi.2001.3633

Cited by 24 publications

(2 citation statements)

References 29 publications

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“…In this analysis, we neglected viscosity, compressibility, and capillarity effects. For damping effects, see Henderson and Miles (1994), Bauer andChiba (2001), andMiras et al (2012b). Concerning gravity-compressibility interactions, various formulations using the Lighthill model (Lighthill, 2001) can be found in Andrianarison and Ohayon (2006a,b).…”

Section: Further Investigationsmentioning

confidence: 99%

Encyclopedia of Computational Mechanics

Ohayon¹,

Schotté

2004

100

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Section: Further Investigationsmentioning

confidence: 99%

Encyclopedia of Computational Mechanics

Ohayon¹,

Schotté

2004

100

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“…The vibration characteristics of the membrane-liquid coupled system were investigated for various system parameters. Bauer and Chiba (2001) treated the coupled motion of a viscous liquid in a cylindrical container with an elastic bottom1 the liquid has a free surface with surface tension. Samodaev (1973) considered the vibrations of an incompressible liquid in a tank with a membrane at its surface and some axial loading.…”

Section: Introductionmentioning

confidence: 99%

Coupled Frequencies of a Fluid in a Circular Cylindrical Tank with a Membrane on its Upper End and Permanent Axial Loading

Gavrilova

2007

Journal of Vibration and Control

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A compressible and inviscid fluid fills a closed circular cylindrical tank. The tank bottom and its side wall are rigid. The whole upper end is covered with a flexible weightless clamped membrane. The tank is under conditions of a specified permanent axial loading. The fluid-structure interaction system obtained is assumed to have small vibrations. Such tanks are used in the aviation industry, so that study of the dynamic behaviour of fluid in tanks is important for their design and reliability assessment. The problem under consideration concerns the determination of the coupled vibrations in this fluid-structure interaction system. The frequency equation is obtained using the Bubnov-Galerkin method. Numerical examples show that with increased axial loading the corresponding first dimensionless frequency of the fluid-structure interaction system also increases.

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Fluid–Structure Interaction Problems

Ohayon

Schotté

2017

Encyclopedia of Computational Mechanics Second Edition

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Several reduced‐order formulations are reviewed in the case of linear vibration analysis of bounded fluid‐structure systems for low modal density situations. Compressibility effects in the fluid for interior structural‐acoustic problems, and free‐surface gravity effects, as well as for hydroelastic–sloshing interaction problems in the case of incompressible liquids, are examined. Reduced‐order models leading to symmetric matrix systems are then described using static well‐posed behavior of the irrotational fluid. In this respect, the fluid‐structure boundary value local equations, expressed in terms of fluid scalar field variables for the fluid (and displacement variables for the structure), are regularized for zero‐frequency limit.

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Viscous Hydroelastic Vibrations in a Cylindrical Container With an Elastic Bottom

Cited by 24 publications

References 29 publications

Encyclopedia of Computational Mechanics

Encyclopedia of Computational Mechanics

Coupled Frequencies of a Fluid in a Circular Cylindrical Tank with a Membrane on its Upper End and Permanent Axial Loading

Fluid–Structure Interaction Problems

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