Finite element computation of sloshing modes in containers with elastic baffle plates

Bermúdez, Alfredo; Rodrı́guez, Rodolfo; Santamarina, Duarte

doi:10.1002/nme.578

Cited by 32 publications

(27 citation statements)

References 27 publications

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“…The effects of baffle on the free and forced vibration of liquid containers were studied by Gedikli and Erguven [28], Bermudez et al [29] and Biswal et al [30][31][32]. However, these works deal with linear sloshing problems.…”

Section: Introductionmentioning

confidence: 97%

Non‐linear sloshing in partially liquid filled containers with baffles

Biswal

Bhattacharyya

Sinha

2006

Numerical Meth Engineering

104

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SUMMARYA finite element method is used for computing the non-linear sloshing response of liquid in a twodimensional rigid rectangular tank with rigid baffles. The potential formulation is considered for the liquid domain and a mixed Eulerian-Langrangian scheme is adopted. The solution is obtained by the Galerkin method. The fourth-order Runge-Kutta method is employed to advance the solution in the time domain. A regridding technique is applied to the free surface of the liquid, which effectively eliminates the numerical instabilities without the use of artificial smoothing. Through the comparison with the available results for the rectangular tank without baffle, the validity of the present formulation is checked and then extended to the solution of tanks with rigid baffles. The effects of baffle parameters such as position, dimension and numbers on the non-linear sloshing response are examined. The present numerical solution procedure is also applied to the non-linear sloshing problems in a circular cylindrical container with annular baffle.

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Section: Introductionmentioning

confidence: 97%

Non‐linear sloshing in partially liquid filled containers with baffles

Biswal

Bhattacharyya

Sinha

2006

Numerical Meth Engineering

104

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“…As shown in , if we consider the function space

{scriptX}_{0} MathClass-punc: MathClass-rel= {ζ MathClass-rel\in scriptX MathClass-punc: {MathClass-op\int}_{Γ_{0}} ζ MathClass-rel= 0}

, there exists a unique potential ϕ satisfying

{MathClass-op\int}_{Γ_{0}} ϕ MathClass-rel= 0

and solving equation . Thus, by substituting it in and adding it to , we obtain the following problem for the coupled system:…”

Section: Mathematical Formulationmentioning

confidence: 99%

Active control of sloshing in containers with elastic baffle plates

Hernández

Santamarina

2012

Numerical Meth Engineering

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SUMMARY We consider the finite element approximations of an optimal control problem consisting in the suppression of slosh arising in fluid–structure interaction problems with free surface. The vibration of a plate in contact with an incompressible fluid is considered as state equations in the optimization problem, and distributed controls on the plate are calculated to suppress the slosh. Locking‐free finite elements are used to discretize the plate, which is modeled by Reissner–Mindlin equations. The effect of the fluid is taken into account by means of an added mass formulation, discretized by standard piecewise linear tetrahedral finite elements, and the gravity waves on the free surface of the liquid are considered in the model. The control variable is the amplitude of a secondary force actuating on the structure. Implementation issues are discussed, and numerical experiments are presented. Copyright © 2012 John Wiley & Sons, Ltd.

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“…A few recent studies report the effects of baffles on the dynamic characteristics of the sloshing liquid in the liquid filled containers. The free vibration analysis of baffled liquid storage tanks has been carried out by Bermudez et al [16], Biswal et al [17] and Cho et al [19].The seismic analysis of a liquid storage tank with a rigid baffle has been done by Gedikli and Erg € uven [14] by using the boundary element method. Biswal et al [18,20] studied the linear and nonlinear slosh response in the liquid filled containers with baffles.…”

Section: Introductionmentioning

confidence: 99%