Wave Forces on an Elliptic Cylinder

Williams, A.N.

doi:10.1061/(asce)0733-950x(1985)111:2(433)

Cited by 44 publications

(21 citation statements)

References 7 publications

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“…The Figures 2(a) and 2(b) show that our asymptotic fifth-order solutions is very close to 412 the forces computed by Williams (1985). The present asymptotic solution in the long-wave 413 approximation, ka → 0, provides give the components of the total hydrodynamic force acting on the square cylinder.…”

supporting

confidence: 58%

“…It was found for this range of ka that the five terms in (12) and (21) by Williams (1985) are collected in four-page appendix at the end of his paper. The ap-…”

mentioning

confidence: 99%

“…proach of the present paper is more straightforward and provides the approximations of the 406 force components of the same order as by Williams (1985) for small eccentricity. The Math-ieu functions in the infinite series solution depend on the parameter q = (kae) 2 /4.…”

mentioning

confidence: 99%

“…The Math-ieu functions in the infinite series solution depend on the parameter q = (kae) 2 /4. Williams by Williams (1985) for e = 1/2 were computed by his asymptotic formula for 0 < ka < 2.5.…”

mentioning

confidence: 99%

See 3 more Smart Citations

Linear Wave Interaction with a Vertical Cylinder of Arbitrary Cross Section: An Asymptotic Approach

Dişibüyük

Korobkin

Yılmaz

2017

J. Waterway, Port, Coastal, Ocean Eng.

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5An asymptotic approach to the linear problem of regular water waves interacting with 6 a vertical cylinder of arbitrary cross section is presented. The incident regular wave is one-7 dimensional, water is of finite depth, and the rigid cylinder extends from the bottom to the 22The resulting asymptotic formula can be used for optimization of the cylinder shape in terms 23 of the wave loads and diffracted wave fields.

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supporting

confidence: 58%

“…It was found for this range of ka that the five terms in (12) and (21) by Williams (1985) are collected in four-page appendix at the end of his paper. The ap-…”

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Linear Wave Interaction with a Vertical Cylinder of Arbitrary Cross Section: An Asymptotic Approach

Dişibüyük

Korobkin

Yılmaz

2017

J. Waterway, Port, Coastal, Ocean Eng.

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“…It should be acknowledged that, for bodies of revolution different than circular cylinders, the procedure is much more complicated. In particular, for elliptical cylinders, the reported studies focus on the first-order problem [14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

The analytic form of Green’s function in elliptic coordinates

Chatjigeorgiou

Mavrakos

2011

J Eng Math

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The purpose of this study is the derivation of a closed-form formula for Green's function in elliptic coordinates that could be used for achieving an analytic solution for the second-order diffraction problem by elliptical cylinders subjected to monochromatic incident waves. In fact, Green's function represents the solution of the so-called locked wave component of the second-order velocity potential. The mathematical analysis starts with a proper analytic formulation of the second-order diffraction potential that results in the inhomogeneous Helmholtz equation. The associated boundary-value problem is treated by applying Green's theorem to obtain a closed-form solution for Green's function. Green's function is initially expressed in polar coordinates while its final elliptic form is produced through the proper employment of addition theorems.

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Seismic analysis and test facilities of deep‐water bridges considering water–structure interaction: A state‐of‐the‐art review

Zheng

et al. 2022

Earthquake Engineering and Resilience

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Deep‐water bridges are susceptible to severe damages under strong earthquakes. Water–structure interaction will considerably affect the dynamic performance of deep‐water bridges. In the past few decades, researchers have conducted extensive studies on the water–structure interaction and dynamic behavior of bridges through theoretical, numerical, and experimental investigations. This paper presents a comprehensive review on the calculation method for earthquake and wave‐induced hydrodynamic forces. The seismic responses of deep‐water bridges under individual or combined excitation of earthquake, wave, and current are discussed to explore the influence of water–structure interaction on the seismic capacity of deep‐water bridges. Finally, the development of testing facilities that can simulate the water–structure interaction is summarized. Particularly, a new multifunctional dual underwater shaking table system built‐in Tianjin University that can simulate multiple‐support excitation and water–structure interaction simultaneously is introduced in detail for the first time.

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Wave Forces on an Elliptic Cylinder

Cited by 44 publications

References 7 publications

Linear Wave Interaction with a Vertical Cylinder of Arbitrary Cross Section: An Asymptotic Approach

Linear Wave Interaction with a Vertical Cylinder of Arbitrary Cross Section: An Asymptotic Approach

The analytic form of Green’s function in elliptic coordinates

Seismic analysis and test facilities of deep‐water bridges considering water–structure interaction: A state‐of‐the‐art review

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