Free vibrations of shells of revolution filled with a fluid

Ventsel, Eduard; Naumenko, V.; Strelnikova, Elena; Yeseleva, E.

doi:10.1016/j.enganabound.2010.05.004

Cited by 33 publications

(21 citation statements)

References 12 publications

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“…The solution of boundary value problems (5) was done by Ventsel et al [7]. Thus the dynamic analysis of elastic shells of revolution with a liquid, neglecting the gravity force, is formulated in terms of the functions U and Φ 1 .…”

Section: The Mode Superposition Methods For Coupled Dynamic Problems Cmentioning

confidence: 99%

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BEM and FEM Analysis of the Fluid-Structure Interaction in Tanks With Baffles

Gnitko¹,

Degtyariov²,

Naumenko³

et al. 2017

Int. J. CMEM

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In this paper we consider vibrations of the baffled elastic fuel tank partially filled with a liquid. The compound shell was a simplified model of a fuel tank. The shell is considered to be thin and the Kirchhoff-Love linear theory hypotheses are applied. The liquid is supposed to be an ideal and incompressible one and its flow introduced by the vibrations of a shell is irrotational. The problem of the fluid-structure interaction was solved using the reduced boundary and finite element methods. The tank structure was modeled by the FEM and the liquid sloshing in a fluid domain was described by using the multi-domain BEM. The rigid and elastic baffled tanks of different forms were considered. The dependencies of frequencies via the filling level were obtained numerically for vibrations of the fluid-filled tanks with and without baffles. Keywords: baffles, fluid-structure interaction, free vibrations, liquid sloshing, multi-domain boundary element method, systems of singular integral equations.

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Section: The Mode Superposition Methods For Coupled Dynamic Problems Cmentioning

confidence: 99%

“…The finite element method was applied by Ventsel et al [7] to evaluate the natural frequencies Ω k and modes u k , k N = 1, of the shell of revolution without a liquid. After forming the global stiffness L and mass M matrices, the following equation of motion for the shell containing fluid was obtained in [7]:…”

Section: Problem Statementmentioning

confidence: 99%

BEM and FEM Analysis of the Fluid-Structure Interaction in Tanks With Baffles

Gnitko¹,

Degtyariov²,

Naumenko³

et al. 2017

Int. J. CMEM

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“…In papers [6][7] the coincidence of results obtained by proposed method and program complex ANSYS was demonstrated. The shell scheme and time history of radial displacement at different points are shown at Figure 6.…”

Section: Figurementioning

confidence: 99%

“…These problems were reduced to the solution of the systems of singular integral equations. Determination of the potential  1 was accomplished as in [6,7].…”

Section: Figurementioning

confidence: 99%

“…Numerical methods are especially useful when the geometry of container is complicated and the sloshing in the container cannot be analytically investigated. Various approaches have been proposed to research fluid-structure interaction, including the finite difference methods [2], the finite element methods [3], the boundary element methods [4][5][6][7][8]. The research findings are summarized in [9].…”

Section: Introductionmentioning

confidence: 99%

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Free and forced vibrations of shell structures interacting with liquid

Gnitko

Naumenko

Ogorodnik

et al. 2012

WIT Transactions on Modelling and Simulation

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The method for dynamic analysis of shell structures partially filled with liquid is presented in this paper. The method relies on determining the fluid pressure from the system of singular integral equations. The axisymmetric compound shell of revolution is chosen as the model of capacity for liquid storage. The shell is considered to be a thin one, and Kirghoff-Lave linear theory hypotheses are applied. The liquid is ideal and incompressible. The coupled problem is solved using a combination of reduced BEM and FEM. Differential equations of the transient problem are solved numerically by the Runge-Kutta method of 4th and 5th order. Numerical simulation of free and forced vibrations of the elastic and rigid shells filled with the incompressible fluid under different loadings has been carried out. Keywords: fluid-structure interaction, free and forced vibrations, boundary and finite element methods.

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Vibrational Response of Elastic Membranes Coupled to Acoustic Fluids Using a BEM–BEM Formulation

Useche

Narváez

2014

Topics in Modal Analysis I, Volume 7

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Free vibrations of shells of revolution filled with a fluid

Cited by 33 publications

References 12 publications

BEM and FEM Analysis of the Fluid-Structure Interaction in Tanks With Baffles

BEM and FEM Analysis of the Fluid-Structure Interaction in Tanks With Baffles

Free and forced vibrations of shell structures interacting with liquid

Vibrational Response of Elastic Membranes Coupled to Acoustic Fluids Using a BEM–BEM Formulation

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