Effects of a Translating Load on a Floating Plate—structural Drag and Plate Deformation

Yeung, Ronald W.; Kim, J.W.

doi:10.1006/jfls.2000.0307

Cited by 21 publications

(8 citation statements)

References 12 publications

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“…The topic of moving loads on floating plates has received considerable attention due to the importance of roads on floating sea, river and lake ice that are traversed by vehicles from snow scooters to semi-trailers (Takizawa, 1988;Van der Sanden and Short, 2017;Wilson, 1955). Aircraft take-off and landing on floating ice (Matiushina et al, 2016;Yeung and Kim, 2000) or large man-made floating structures (Kashiwagi, 2004) have also received significant attention. A major focus of many of these studies is the so-called critical load speed, at which vehicle speed coincides simultaneously with the flexural phase and group velocities, and the ice deflection can grow very large over time (Wilson, 1955).…”

Section: A General Theory -Moving Loads On Floating Platesmentioning

confidence: 99%

Sea ice thickness from air-coupled flexural waves

et al. 2021

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Abstract. Air-coupled flexural waves (ACFWs) appear as wave trains of constant frequency that arrive in advance of the direct air wave from an impulsive source travelling over a floating ice sheet. The frequency of these waves varies with the flexural stiffness of the ice sheet, which is controlled by a combination of thickness and elastic properties. We develop a theoretical framework to understand these waves, utilizing modern numerical and Fourier methods to give a simpler and more accessible description than the pioneering yet unwieldy analytical efforts of the 1950s. Our favoured dynamical model can be understood in terms of linear filter theory and is closely related to models used to describe the flexural waves produced by moving vehicles on floating plates. We find that air-coupled flexural waves are a real and measurable component of the total wave field of floating ice sheets excited by impulsive sources, and we present a simple closed-form estimator for the ice thickness based on observable properties of the air-coupled flexural waves. Our study is focused on first-year sea ice of ∼ 20–80 cm thickness in Van Mijenfjorden, Svalbard, that was investigated through active source seismic experiments over four field campaigns in 2013, 2016, 2017 and 2018. The air-coupled flexural wave for the sea ice system considered in this study occurs at a constant frequency thickness product of ∼ 48 Hz m. Our field data include ice ranging from ∼ 20–80 cm thickness with corresponding air-coupled flexural frequencies from 240 Hz for the thinnest ice to 60 Hz for the thickest ice. While air-coupled flexural waves for thick sea ice have received little attention, the readily audible, higher frequencies associated with thin ice on freshwater lakes and rivers are well known to the ice-skating community and have been reported in popular media. The results of this study and further examples from lake ice suggest the possibility of non-contact estimation of ice thickness using simple, inexpensive microphones located above the ice sheet or along the shoreline. While we have demonstrated the use of air-coupled flexural waves for ice thickness monitoring using an active source acquisition scheme, naturally forming cracks in the ice are also shown as a potential impulsive source that could allow passive recording of air-coupled flexural waves.

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Section: A General Theory -Moving Loads On Floating Platesmentioning

confidence: 99%

Sea ice thickness from air-coupled flexural waves

et al. 2021

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“…First, the responses of floating isotropic plate ( θ = 0 ° , E 1 / E 2 = 1 ) when the speed of the moving load reaches the minimum celerity of the free surface of the hydroelastic system C min = 1 . 325 ( g 3 D / ρ ) 1 / 8 = 5 . 8 m / s (Yeung and Kim, 2000) is investigated. At this speed, a hydroelastic analysis is performed with the initial values w = w t = Φ = 0 to determine the vertical displacement at the contact point.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…By using the Newmark method, the system of equations is solved with the time step Δ t = 0 . 01 s and the total time of simulation of 22 s is used in the time integration scheme. Figure 3 shows the dynamic amplification factor DF which is the ratio of the maximum displacement accounting for dynamic effect to maximum displacement due to static load w static obtained by the BEM–MEM in comparison with the Fourier Transform Method (FTM) and the asymptotic expression proposed by Yeung and Kim (2000), which is DF = ( 2 / ) π ln ( t / ( π ( 3 5 · D / ( ρ · g 5 ) ) 1 / 8 ) ) + 1 . 5 . As can be seen from Figure 3, the solutions obtained by BEM–MEM are in good agreement with those by the FTM and asymptotic expression.…”

Section: Numerical Examplesmentioning

confidence: 99%

Hydroelastic responses of floating composite plates under moving loads using a hybrid moving element-boundary element method

Nguyen

Luong

Cao

et al. 2020

Advances in Structural Engineering

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Responses of floating plates with the impact of moving excitations have been previously studied by several scholars. Generally, such structures were often assumed to be isotropic. Nonetheless, the directional-dependent bending stiffness should be considered for designing practical floating structures, especially for very large floating structures. Accordingly, this article aims to analyze hydroelastic responses of floating composite plates subjected to moving loads for the first time. For this, a novel numerical approach as a combination of boundary element method and moving element method which is named the BEM–MEM is proposed. In the this approach, governing equations of motion, moving element, and fluid matrices are formulated in a relative coordinate system traveling with moving loads. Consequently, the suggested paradigm can effectively eliminate difficulties in addressing the bound of computational domain and tracking the location of contact points which often encounter in the traditional finite element method owing to utilizing a fixed coordinate system. Several numerical examples are exhibited to demonstrate the performance and ability of the boundary element method-moving element method . Gained results are compared with those by the Fourier transform method and the asymptotic expression to verify the accuracy of the proposed methodology. The outcomes indicate that the speed of moving loads considerably affects the plate deflection. In addition, as the speed is larger than the minimum celerity of the free surface of hydroelastic system ( Cmin), the influence of anisotropy on the deflection becomes significant.

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“…The response of the floating ice sheet to the moving load will lead to the generation of structural waves with added drag and undulations, which may permit the safe operation of aircraft or amphibious air-cushion vehicles (AACVs). Yeung and Kim (2000) [28] described the wave resistance as a kind of force of drag. In order to ensure the safety of the transportation, whatever the aircraft or AACV, eliminating the wave resistance has attracted attention.…”

Section: Introductionmentioning

confidence: 99%

Wave Resistance Caused by a Point Load Steadily Moving on the Surface of a Floating Viscoelastic Plate

Wang,

2023

JMSE

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The wave resistance caused by a point load steadily moving on an infinitely extended viscoelastic plate floating on an inviscid fluid is analytically studied, which can be used to describe the response due to the motion of amphibious air-cushion vehicles on the continuous ice sheet on the ocean. The action of concentrated and distributed point loads are both considered. Under the assumptions that the fluid is incompressible and homogeneous and the motion of the fluid is irrotational, the Laplace equation is taken as the governing equation. For the floating plate, the Kelvin–Voigt viscoelastic model is employed. At the plate–fluid interface, linearized boundary conditions are used when the wave amplitude generated is less than its wavelength. The Fourier integral transform is performed to achieve the formal solution. The residue theorem is applied to derive the response of flexural–gravity wave resistance. It is indicated that for a point load with a uniform rectilinear motion, the wave resistance shows a sharp decrease with the increase in the moving speed when the load velocity is greater than the minimum phase velocity. There is no steady wave resistance when the load velocity is smaller than the minimum phase velocity. The effects of different parameters are obtained. Wave resistance decreases with the increasing plate thickness, viscoelastic parameter, and Poisson’s ratio, especially for a small value of viscoelastic parameter.

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Effects of a Translating Load on a Floating Plate—structural Drag and Plate Deformation

Cited by 21 publications

References 12 publications

Sea ice thickness from air-coupled flexural waves

Sea ice thickness from air-coupled flexural waves

Hydroelastic responses of floating composite plates under moving loads using a hybrid moving element-boundary element method

Wave Resistance Caused by a Point Load Steadily Moving on the Surface of a Floating Viscoelastic Plate

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