Theory and experiment for flutter of a rectangular plate with a fixed leading edge in three-dimensional axial flow

Gibbs, S. Chad; Wang, Ivan; Dowell, Earl H.

doi:10.1016/j.jfluidstructs.2012.06.009

Cited by 51 publications

(14 citation statements)

References 32 publications

(62 reference statements)

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“…Equation (3) and the boundary conditions entirely rule the membrane behavior [21,24,26]. Yet, in our case, the additional lateral walls create a confinement, intermittent contacts, electrostatic interactions between the flag and the electrets (which are actually strongly desired to generate power), electrostatic forces and as a consequence other boundary conditions which are extremely difficult to model, even by using numerical software (finite elements).…”

Section: Flow-induced Vibrations and Flutter Ehmentioning

confidence: 89%

“…Assuming that the viscoelastic damping of the material and the tension due to the viscous boundary layers are negligible, the equation ( 1) and the dimensionless equation ( 2) of the motion of the flag are given by the Euler-Bernoulli beam theory [19][20][21][22]: [20][21][22][23][24][25][26][27], (2) can be simplified into (3). By adding H* = H/L the width to length ratio, the motion of the flag is now entirely governed by three dimensionless parameters: U*, M*, and H*.…”

Section: Flow-induced Vibrations and Flutter Ehmentioning

confidence: 99%

See 1 more Smart Citation

An electret-based aeroelastic flutter energy harvester

Perez¹,

Boisseau²,

Gasnier³

et al. 2015

Smart Mater. Struct.

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This paper presents a new airflow energy harvester exploiting fluttering effects coupled to an electret-based conversion to turn the flow-induced movements of a membrane into electricity. The proposed device is made of a polymer membrane placed between two parallel flat electrodes coated with 25 μm thick Teflon PTFE electret layers; a bluff body is placed at the inlet of the device to induce vortex shedding. When the wind or airstream of any kind flows through the harvester, the membrane enters in oscillation due to fluttering and successively comes into contact with the two Teflon-coated fixed electrodes. This periodic motion is directly converted into electricity thanks to the electret-based conversion process. Various geometries have been tested and have highlighted a 2.7 cm3 device, with an output power of 481 μW (178 μW cm−3) at 15 m s−1 and 2.1 mW (782 μW cm−3) at 30 m s−1 with an electret charged at −650 V. The power coefficient Cp of the device reaches 0.54% at 15 m s−1 which is low, but compares favorably with the other small-scale airflow energy harvesters.

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Section: Flow-induced Vibrations and Flutter Ehmentioning

confidence: 89%

Section: Flow-induced Vibrations and Flutter Ehmentioning

confidence: 99%

An electret-based aeroelastic flutter energy harvester

Perez¹,

Boisseau²,

Gasnier³

et al. 2015

Smart Mater. Struct.

View full text Add to dashboard Cite

show abstract

“…The present analysis done on a two-dimensional system discounts any three-dimensional effects, which are known to influence the stability of immersed rectangular plates. It has been shown that, in general, a reduction of the span-tolength ratio of plates in inviscid flow stabilises the FSI system [14,17], particularly for low mass ratios. Further, using full three-dimensional FSI simulations based on the immersed boundary method, Huang and Sung [24] have shown that, for a flag with a span-to-length ratio of unity, viscous forces could induce spanwise bending near the free trailing edge.…”

Section: Effect Of Reynolds Numbermentioning

confidence: 99%

“…This arises from a phase difference between fluid pressure and cantilever motion that owes its origin to the finite length of the flexible cantilever [15,22]. More recent analysis and modelling efforts have particularly focused on the wake downstream of the fluttering cantilever [28,34,36] and three-dimensional effects [11,17,24]. However, viscous effects most often remain approximated [27] or implicitly modelled [2].…”

Section: Introductionmentioning

confidence: 99%

The stability of a flexible cantilever in viscous channel flow

Cisonni

Lucey

Elliott

et al. 2017

Journal of Sound and Vibration

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Most studies of the flow-induced flutter instability of a flexible cantilever have assumed inviscid flow because of the high flow speeds and the large scale of the structures encountered in the wide range of applications of this fluidstructure interaction (FSI) system. However, for instance, in the fields of energy harvesting and biomechanics, low flow speeds and small-and micro-scale systems can give relatively low Reynolds numbers so that fluid viscosity needs to be explicitly accounted for to provide reliable predictions of channel-immersed-cantilever stability. In this study, we employ a numerical model coupling the Navier-Stokes equations and a one-dimensional elastic beam model. We conduct a parametric investigation to determine the conditions leading to flutter instability of a slender flexible cantilever immersed in two-dimensional viscous channel flow for Reynolds numbers lower than 1000. The large set of numerical simulations carried out allows predictions of the influence of decreasing Reynolds numbers and of the cantilever confinement on the single-mode neutral stability of the FSI system and on the pre-and post-critical cantilever motion. This model's predictions are also compared to those of a FSI model containing a two-dimensional solid model in order to assess, primarily, the effect of the cantilever slenderness in the simulations. Results show that an increasing contribution of viscosity to the hydrodynamic forces significantly alters the instability boundaries. In general, a decrease in Reynolds number is predicted to produce a stabilisation of the FSI system, which is more pronounced for high fluid-to-solid mass ratios. For particular fluid-to-solid mass ratios, viscous effects can lower the critical velocity and lead to a change in the first unstable structural mode. However, at constant Reynolds number, the effects of viscosity on the system stability are diminished by the confinement of the cantilever, which strengthens the importance of flow inertia.

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“…Zhou et al [ 48 ] proposed a novel Y-shaped bi-stable energy harvester with two curved wings and a tip magnet, which demonstrated that the harvester could execute snap-through and reach coherence resonance in a wide range of airflow velocity. Dowell and his coauthors [ 49 , 50 , 51 ] investigated a flutter and the limit-cycle oscillation of a fixed cantilever beam. An aerodynamic model was developed, and the effects of airflow velocity on aeroelastic vibration and limit-cycle oscillation were obtained.…”

Section: Introductionmentioning

confidence: 99%

Experimental Investigation on a Novel Airfoil-Based Piezoelectric Energy Harvester for Aeroelastic Vibration

et al. 2020

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This paper presents a novel airfoil-based piezoelectric energy harvester (EH) with two small square prisms attached to an airfoil. This harvester can achieve a two degree-of-freedom (DOF) plunge–pitch motions. Several prototypes of energy harvester were fabricated to explore the nonlinear aerodynamic response and the output performance in a wind tunnel. The experimental results showed that the longer the flexible spring was, the lower the critical velocity and frequency of the harvester were, and the better aerodynamic response and output performance could be achieved. The initial disturbance, the following limit-cycle oscillation, and the ultimate chaos of nonlinear response occurred, as increasing airflow velocity was increased. The overall output performance of the harvesters with a flexible spring having a thickness of 1 mm outperformed than that of the harvesters with a flexible spring having a thickness of 0.5 mm at a higher airflow velocity, while the tendency was opposite at a lower velocity. An optimum output voltage of 17.48 V and a power of 0.764 mW were harvested for EH-160-1 at 16.32 m/s, which demonstrated it possessed better performance than the other harvesters. When the capacitor was charged for 45 s and directly drove a sensor, it could maintain working for 17 s to display temperature and humidity in real time.

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Theory and experiment for flutter of a rectangular plate with a fixed leading edge in three-dimensional axial flow

Cited by 51 publications

References 32 publications

An electret-based aeroelastic flutter energy harvester

An electret-based aeroelastic flutter energy harvester

The stability of a flexible cantilever in viscous channel flow

Experimental Investigation on a Novel Airfoil-Based Piezoelectric Energy Harvester for Aeroelastic Vibration

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