Assessment of Classical Numerical Models for the Separate Fluid-Structure Modal Analysis

Cho, Jong-Rae; Song, Jeong Mok

doi:10.1006/jsvi.2000.3179

Cited by 32 publications

(17 citation statements)

References 12 publications

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“…real 1 a real one. This spurious root occurs also when one tries to calculate frequency-dependent addedmass matrices in ideal uid-structure interaction problems considering the liquid free-surface sloshing, according to the iterative incremental scheme [9]. Therefore, this phenomenon is due solely to the numerical singularity of the matrix H(!).…”

Section: Preliminary Experimentsmentioning

confidence: 96%

“…This phenomenon is solely associated with the characteristic of equivalent added-mass amount m add a ecting the structure motion, with respect to the slenderness of liquid H L =R. Referring to Reference [9], the relative added-mass amount with respect to the total liquid mass m add =m exhibits a saturation behaviour along the liquid slenderness. Since the relative added mass itself saturates in proportion to the increase of liquid slenderness H L =R, the relative di erence between compressible and incompressible liquid motions shows naturally the saturation behaviour.…”

Section: Comparison With Incompressible Casementioning

confidence: 97%

“…the sloshing e ect). The numerical free-vibration analysis of ideal uid-structure interaction considering the sloshing e ect is addressed in the previous work [9], where the added-mass has been found frequency-non-linear. As a reference, the boundary condition (5c) for such a case becomes a frequency-dependent condition [2; 14]: !…”

Section: Compressible Uid Motionmentioning

confidence: 99%

“…Among them Lakis and Pa doussis [7] and Amabili et al [8] are noteworthy, where the free vibrations considering the sloshing e ect of exible liquid-storage tanks with elastic supporters and sti eners are analytically derived by the Rayleigh-Ritz method. A quantitative analysis on both effects is also addressed in our previous work [9]. The reader may refer to the books by Pa doussis [10] and Morand and Ohayon [2] for the literature and extensive works on analytical and numerical formulations considering both e ects.…”

Section: Introductionmentioning

confidence: 99%

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Axisymmetric modal analysis of liquid‐storage tanks considering compressibility effects

Cho

Kim

Lee

et al. 2002

Numerical Meth Engineering

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SUMMARYIn this paper, we address analytical and numerical studies on the free vibration of uid-structure interaction problems considering the uid compressibility. According to the separation of variables together with the boundary condition enforcement, we ÿrst derive a compressible-uid velocity potential function. Next, we split the structure region into the wet and dry parts, for which we apply the Novozhilov thin shell theory. Combining two dynamic displacement ÿelds, for two split structure parts, using the displacement compatibility conditions, we ÿnally obtain a simultaneous equation system for computing natural frequencies and modes. According to the derived analytical formulae, we compute natural frequencies and modes, stress resultants, together with the comparison with the FEM analysis and the incompressible case. Numerical results show, compared to the incompressible case, that the compressible case produces lower natural frequencies and, furthermore, the relative di erence is in uenced by the slenderness of tanks and the relative liquid ÿll height.

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Section: Preliminary Experimentsmentioning

confidence: 96%

Section: Comparison With Incompressible Casementioning

confidence: 97%

Section: Compressible Uid Motionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Axisymmetric modal analysis of liquid‐storage tanks considering compressibility effects

Cho

Kim

Lee

et al. 2002

Numerical Meth Engineering

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“…Same conclusion can be drawn for other coupled modes. Figure 6 sketches the first eigenmodes shape, in terms of displacement, pressure and free surface elevation: frequency of the decoupled fluid and structure systems are 1.3000 Hz and 1.0355 Hz respectively, while frequency of the first coupled eigenmode is 0.7133 Hz, resulting from a low frequency coupling process (Cho-Song, 2001). …”

Section: B) Coupled Fluid-structure Problemmentioning

confidence: 99%

Modal analysis of fluid-structure interaction problems with pressure-based fluid finite elements for industrial applications

Sigrist¹

2007

The International Journal of Multiphysics

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Slosh dynamics of inviscid fluids in two‐dimensional tanks of various geometry using finite element method

Mitra

Upadhyay

Sinhamahapatra

2007

Numerical Methods in Fluids

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SUMMARYThis paper brings into focus some of the interesting effects arising from the motion of the liquid free surface due to sloshing in partially filled containers of several geometrical shapes in two dimensions. The slosh characteristics that include frequencies, free surface profiles and the hydrodynamic pressure over the container walls have been reported in this study. The equations of motion of the fluid, considered inviscid, are expressed in terms of the pressure variable alone. It is assumed that the frequency of the exciting oscillation is not in the immediate neighborhood of the natural slosh frequency, so that the slope of the free surface is small. Simple harmonic oscillation and earthquake excitations are used as the prescribed boundary conditions. A finite difference-based iterative time-stepping technique is employed to advance the solution in the time domain. The paper presents numerical solutions for rectangular, vertically mounted annular cylindrical, trapezoidal and horizontal circular cylindrical containers. Numerical results obtained are compared with the available existing solutions to validate the code developed. The parametric study of the slosh dynamic systems shows the importance of the nature of excitation, fluid height and the geometry of the container.

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Assessment of Classical Numerical Models for the Separate Fluid-Structure Modal Analysis

Cited by 32 publications

References 12 publications

Axisymmetric modal analysis of liquid‐storage tanks considering compressibility effects

Axisymmetric modal analysis of liquid‐storage tanks considering compressibility effects

Modal analysis of fluid-structure interaction problems with pressure-based fluid finite elements for industrial applications

Slosh dynamics of inviscid fluids in two‐dimensional tanks of various geometry using finite element method

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