# Nonlinear effect of waves on wave pressure and wave force on a large cylindrical pile

20 Sep 1974-Vol. 1974, Iss: 229, pp 41-53

About: The article was published on 1974-09-20 and is currently open access. It has received 9 citations till now. The article focuses on the topics: Mechanical wave & Surface wave.

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TL;DR: In this paper, a non-linear theory is presented to derive second-order waveloads, in terms of the wave-steepness, which makes the solution valid for all range of wave frequencies.

223 citations

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TL;DR: In this article, the wave loadings on large circular cylinders are estimated by extending Lighthill's method for deep water waves to waves in water of arbitrary but uniform depth, which is a rather elegant technique for estimating the wave loads.

Abstract: This paper gives a rather elegant technique for estimating the wave loadings on large circular cylinders. It extends Lighthill’s method for deep water waves to waves in water of arbitrary but uniform depth. Analytical solutions have been presented and checked with Lighthill’s results for deep water waves for accuracy

10 citations

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TL;DR: In this article, the forces and overturning moments exerted by second order waves on large vertical circular cylinders are analyzed, where the mathematical equations governing the physical system are the three-dimensional Laplace's equation satisfied by the velocity potential ϕ ( x, y, z, t ) and the boundary conditions, namely the dynamic boundary condition which is obtained from the Bernoulli's equation, kinematic boundary condition, radiation condition, bottom boundary condition and the zero radial velocity condition on the surface of the cylinder.

7 citations

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11 Aug 1995TL;DR: In this article, an approximate method for the second-order wave interactions with arrays of vertical cylinders of arbitrary cross-section is proposed, and the results are verified by comparing with wave tank experiments in the valid range of the Stokes secondorder wave theory, where the first-order boundary value problems are derived by perturbation method, and Green's identity formula is used to express the distribution of the velocity potentials on horizontal plane.

Abstract: This paper proposes an approximate calculation method for the secondorder wave interactions with arrays of vertical cylinders of arbitrary cross section. In mathematical formulations, the first- and the second-order boundary value problems are derived by perturbation method, and Green's Identity Formula is used to express the distribution of the velocity potentials on horizontal plane. Second-order water surface elevations near the cylinders and wave forces acting on the cylinders are computed, and the results are verified by comparing with wave tank experiments in the valid range of the Stokes second-order wave theory.

6 citations

### Cites methods from "Nonlinear effect of waves on wave p..."

...For examples, Yamaguchi and Tsuchiya(1974) derived a second-order solution of closed form for a vertical cylinder, Garrison(1979) proposed a numerical solution based on a source distribution method using Green's function....

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TL;DR: In this paper, a finite-infinite element method for solving the second order wave diffraction problem is presented, which is based on the inhomogeneous far field condition and its corresponding higher order asymptotic solutions for the second-order diffracted potential suggested by Li 9, and follows the finite-inverse element method as used by Lau and Ji 18.

4 citations

##### References

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01 Dec 1954

TL;DR: In this paper, a quantitative understanding of the forces developed by wave action against circular piling is presented, where the authors focus on the effect of wave action on circular piling and show that wave action is a powerful force against piling.

Abstract: : Although circular piling is a much-used structural element in shore protection, harbor, and other maritime structures, only recently have significant advances been made toward gaining a quantitative understanding of the forces developed by wave action against piling. The present report deals with this subject.

501 citations

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TL;DR: In this paper, the authors examined the diffraction of plane water waves by a stationary obstacle with vertical sides, in particular the variation of amplitude along the sides and the average steady pressure due to the wave motion.

Abstract: The diffraction of plane water waves by a stationary obstacle with vertical sides is examined, in particular the variation of amplitude along the sides and the average steady pressure due to the wave motion. Results similar to those in other diffraction problems are obtained for an infinite plane and for cylinders of circular or parabolic section, and approximations are made for sections of ship form. The examination was made in view of possible applications in the problem of a ship advancing through a train of waves, and the results are discussed in relation to the average additional resistance in such circumstances. It appears that the mean pressure obtained on diffraction theory from the second order terms can only account, in general, for a small proportion of the observed effect; the motions of the ship, and in particular its oscillations, are essential factors in the problem.

170 citations

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TL;DR: In this article, the authors applied diffraction to Stokes' fifth order gravity wave theory to obtain an expression for the velocity potential in the cylindrical polar coordinate system, based on which the dynamic pressure at the surface of a vertical cylinder and the total horizontal force on the cylinder in the direction of the wave propagation were determined.

Abstract: The method of diffraction is applied to Stokes' fifth order gravity wave theory to obtain an expression for the velocity potential in the cylindrical polar coordinate system. Based on this expression, the dynamic pressure at the surface of a vertical cylinder and the total horizontal force on the cylinder in the direction of the wave propagation are determined. The wave force is written in an equivalent form of the inertial part of Morison's equation and the effective inertial coefficients are shown to be functions of a single dimensionless quantity. The different parameters involved are plotted or tabulated so that forces on a vertical cylinder due to a nonlinear wave up to fifth order may be easily evaluated. Correlation of the theory with the available experimental data was found to be reasonably good.

19 citations

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TL;DR: In this article, the heights and phase relationships of non-breaking ocean waves about a cylindrical island were shown by a model study to be in agreement with the corresponding diffraction theory, and the variation of pressure with depth was found to be more rapid than the hyperbolic cosine variation which has been used for forces on piling.

Abstract: The heights and phase relationships of non-breaking ocean waves about a cylindrical island were shown by a model study to be in agreement with the corresponding diffraction theory. The variation of pressure with depth, however, was found to be more rapid than the hyperbolic cosine variation which has been used for forces on piling.

17 citations