Interactions between a partially or totally immersed vibrating cantilever plate and the surrounding fluid

Fu, Yibin; Price, W.G.

doi:10.1016/0022-460x(87)90366-x

Cited by 134 publications

(55 citation statements)

References 8 publications

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“…Regardless of the scale under investigation, most prior studies have been primarily concerned with a single cantilever beam (Fu and Price 1987, Basak et al 2006, and Sader 1998. Fewer studies have focused on the hydrodynamic interaction of multiple beams vibrating in close proximity.…”

Section: Introductionmentioning

confidence: 99%

Experimental study of aerodynamic damping in arrays of vibrating cantilevers

Kimber

Lonergan

Garimella

2009

Journal of Fluids and Structures

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Cantilever structures vibrating in a fluid are encountered in numerous engineering applications. The aerodynamic loading from a fluid can have a large effect on both the resonance frequency and damping, and has been the subject of numerous studies. The aerodynamic loading on a single beam is altered when multiple beams are configured in an array. In such situations, neighboring beams interact through the fluid and their dynamic behavior is modified. In this work, aerodynamic interactions between neighboring cantilever beams operating near their first resonance mode and vibrating at amplitudes comparable to their widths are experimentally explored. The degree to which two beams become coupled through the fluid is found to be sensitive to vibration amplitude and proximity of neighboring components in the array. The cantilever beams considered are slender piezoelectric fans (approximately 6 cm in length), and are caused to vibrate in-phase and out-of-phase at frequencies near their fundamental resonance values. Aerodynamic damping is expressed in terms of the quality factor for two different array configurations and estimated for both in-phase and out-of-phase conditions. The two array configurations considered are for neighboring fans placed face-to-face and edge-to-edge. It is found that the damping is greatly influenced by proximity of neighboring fans and phase difference. For the face-to-face configuration, a reduction in damping is observed for in-phase vibration, while it is greatly increased for out-of-phase vibration; the opposite effect is seen for the edge-to-edge configuration. The resonance frequencies also show a dependence on the phase difference, but these changes are small compared to those observed for damping. Correlations are developed based on the experimental data which can be used to predict the aerodynamic damping in arrays of vibrating cantilevers. The distance at which the beams no longer interact is quantified for both array configurations.Understanding the fluid interactions between neighboring vibrating beams is essential for predicting the dynamic behavior of such arrays and designing them for practical applications.

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Section: Introductionmentioning

confidence: 99%

Experimental study of aerodynamic damping in arrays of vibrating cantilevers

Kimber

Lonergan

Garimella

2009

Journal of Fluids and Structures

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“…The resonance frequencies of vertical and horizontal cantilever plates partially or totally submerged in water were also studied by Fu and Price [5] but limited experimental comparison was given. More recently, Ergin and Ugurlu [4] studied the effect of partial submergence on the natural frequencies and mode shapes of different cantilever plates and successfully compared the numerical results with experimental data.…”

Section: Partial Submergencementioning

confidence: 99%

Numerical and experimental study of a nearby solid boundary and partial submergence effects on hydrofoil added mass

et al. 2014

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a b s t r a c tThe influence of the boundary conditions on the added mass of a NACA0009 cantilever hydrofoil has been numerically and experimentally investigated. The study has been focused on the effects of a lateral solid wall close to the hydrofoil tip side and of a partially wetted vertical hydrofoil at different levels with the free surface parallel to the span. A detailed fluid-structure model has been built for both cases and a modal analysis has been carried out. The numerical three first natural frequencies have been used to calculate the added mass coefficients. These coefficients have been compared with the results of the analogous experiments carried out by means of an onboard excitation and response system based on piezoelectric patches. The obtained results are in reasonable good agreement with experimental data. The proximity of a lateral solid wall provokes an increase of the added mass experienced by the hydrofoil which can be approximated by a 2nd order polynomial function for both bending and torsion modes. On the other hand, the increase of the added mass with the level of partial submergence is found to be dependent on the relative displacements of the hydrofoil submerged part and hence on the mode shape.

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“…The finite element method has also been applied to solve problems for totally or partially submerged elastic plates [5][6][7]. Recently, Fu and Price [8], based on a linear hydro elasticity theory, also presented their results and discussed the effect of the free surface. Kwak [9] and Liang et al [10] calculated the non-dimensional added virtual mass for some plates and compared the results with experimental data.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of fluid added mass effect on a francis turbine runner

Liang¹,

Rodríguez²,

Egusquiza³

et al. 2007

Computers & Fluids

106

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In this paper, a numerical simulation to analyze the influence of the surrounding water in a turbine runner has been carried out using finite element method (FEM). First, the sensitivity of the FEM model on the element shape and mesh density has been analysed. Secondly, with the optimized FEM model, the modal behaviour with the runner vibrating in air and in water has been calculated. The added mass effect by comparing the natural frequencies and mode shapes in both cases has been determined.The numerical results obtained have been compared with experimental results available. The comparison shows a good agreement in the natural frequency values and in the mode shapes. The added mass effect due to the fluid structure interaction has been discussed in detail.Finally, the added mass effect on the submerged runner is quantified using a non-dimensional parameter so that the results can be extrapolated to runners with geometrical similarity.

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Interactions between a partially or totally immersed vibrating cantilever plate and the surrounding fluid

Cited by 134 publications

References 8 publications

Experimental study of aerodynamic damping in arrays of vibrating cantilevers

Experimental study of aerodynamic damping in arrays of vibrating cantilevers

Numerical and experimental study of a nearby solid boundary and partial submergence effects on hydrofoil added mass

Numerical simulation of fluid added mass effect on a francis turbine runner

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