Hydroelastic wake on a thin elastic sheet floating on water

Ono-dit-Biot, Jean-Christophe; Trejo, Miguel; Loukiantcheko, Elsie; Lauch, Max; Raphaël, Élie; Dalnoki-Veress, Kari; Salez, Thomas

doi:10.1103/physrevfluids.4.014808

Cited by 7 publications

(19 citation statements)

References 45 publications

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“…As such, while we were focused on infinite-depth and finite-depth surface gravity waves due to a moving ship, our analysis can easily be adapted for applications with different dispersion relations. Typical examples that may be of interest include problems for which the effects of surface tension together with gravity are important [23,43,44], models for weakly damped ship waves [45], hydroelastic waves such as those on floating ice sheet [46,47], internal or surface waves due to a stratified fluid [13,48], and ship waves with constant vorticity [21,49] (although further modifications would be required in the latter case due to = (k, ψ )). Our results in Sec.…”

Section: Discussionmentioning

confidence: 99%

Spectrogram analysis of surface elevation signals due to accelerating ships

et al. 2021

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Spectrograms provide an efficient way to analyze surface elevation signals of ship waves taken from a sensor fixed at a single point in space. Recent work based on a simplified model for the ship's disturbance suggests that matching the spectrogram heat-map patterns to a so-called dispersion curve has the potential for estimating of properties of a steadily moving ship, such as the ship's speed and closest distance to the sensor. Here we extend the theory behind the dispersion curve so that it can be applied to ships accelerating along arbitrary paths and demonstrate how acceleration affects the structure of the associated spectrograms. Examples are provided for a simple model of a ship accelerating/decelerating in a straight line or traveling in a circle with constant angular speed. We highlight a problem with nonuniqueness of the dispersion curve when comparing ships moving along different paths. Finally, we validate the new dispersion curve against experimental results of ship models accelerating in a finite depth basin. Our work will provide a basis for more comprehensive studies that extend the simplified model to take into account the shape of the hull in question.

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Section: Discussionmentioning

confidence: 99%

Spectrogram analysis of surface elevation signals due to accelerating ships

et al. 2021

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“…As such, while we were focussed on infinite-depth and finite-depth surface gravity waves due to a moving ship, our analysis can easily be adapted for applications with different dispersion relations. Typical examples that may be of interest include problems for which the effects of surface tension together with gravity are important [22,34,39], models for weakly damped ship waves [40], hydroelastic waves such as those on floating ice sheet [41,42], internal or surface waves due to a stratified fluid [43], and ship waves with constant vorticity [20,44] (although further modifications would be required in the latter case due to Ω = Ω(k, ψ)). Our results in Sec.…”

Section: Discussionmentioning

confidence: 99%

Spectrogram analysis of surface elevation signals due to accelerating ships

Pethiyagoda¹,

Moroney²,

Macfarlane³

et al. 2021

Preprint

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Spectrograms provide an efficient way to analyse surface elevation signals of ship waves taken from a sensor fixed at a single point in space. Recent work based on a simplified model for the ship's disturbance suggests that matching the spectrogram heat-map patterns to a so-called dispersion curve has the potential for estimating of properties of a steadily moving ship, such as the ship's speed and closest distance to the sensor. Here we extend the theory behind the dispersion curve so that it can be applied to ships accelerating along arbitrary paths and demonstrate how acceleration affects the structure of the associated spectrograms. Examples are provided for of a simple model of a ship accelerating/decelerating in a straight line or travelling in a circle with constant angular speed. We highlight a problem with non-uniqueness of the dispersion curve when comparing ships moving along different paths. Finally, we validate the new dispersion curve against experimental results of ship models accelerating in a finite depth basin. Our work will provide a basis for more comprehensive studies that extend the simplified model to take into account the shape of the hull in question.

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“…Each arm of the "plus" shaped frame was clamped to a post and attached to crossed optical rails using translation stages. The hole was covered with a second Elastosil film, which becomes the "substrate" of the bilayer, with thicknesses of H = {20.9 ± 0.4, 51 ± 1, 104 ± 2, 213 ± 7, or 258 ± 2} µm as measured in reference [35]. Samples with intermediate substrate thickness were made by stacking Elastosil sheets with good adhesion between the films -sufficient that the films remained in good contact when strained.…”

Section: Experimental Methodsmentioning

confidence: 99%

“…We note that while there is no strain in the perpendicular direction, there is a tensile stress induced through Poisson's ratio which is smaller than that induced in the high-strain direction. The Elastosil films have a modulus E s = 1.11 ± 0.06 MPa [35], and making the reasonable assumption that the elastomer is incompressible then Poisson's ratio can be taken to be ν s = 0.5.…”

Section: Experimental Methodsmentioning

confidence: 99%

The emergence of local wrinkling or global buckling in thin freestanding bilayer films

et al. 2020

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Periodic wrinkling of a rigid capping layer on a deformable substrate provides a useful method for templating surface topography for a variety of novel applications. Many experiments have studied wrinkle formation during the compression of a rigid film on a relatively soft pre-strained elastic substrate, and most have focused on the regime where the substrate thickness can be considered semi-infinite relative to that of the film. As the relative thickness of the substrate is decreased, the bending stiffness of the film dominates, causing the bilayer to transition to either local wrinkling or a global buckling instability. In this work optical microscopy was used to study the critical parameters that determine the emergence of local wrinkling or global buckling of freestanding bilayer films consisting of a thin rigid polymer capping layer on a pre-strained elastomeric substrate. The thickness ratio of the film and substrate as well as the pre-strain were controlled and used to create a buckling phase diagram which describes the behaviour of the system as the ratio of the thickness of the substrate is decreased. A simple force balance model was developed to understand the thickness and strain dependences of the wrinkling and buckling modes, with excellent quantitative agreement being obtained with experiments using only independently measured material parameters.

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Hydroelastic wake on a thin elastic sheet floating on water

Cited by 7 publications

References 45 publications

Spectrogram analysis of surface elevation signals due to accelerating ships

Spectrogram analysis of surface elevation signals due to accelerating ships

Spectrogram analysis of surface elevation signals due to accelerating ships

The emergence of local wrinkling or global buckling in thin freestanding bilayer films

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