On the heave radiation of a rectangular structure

Lee, Jaw Fang

doi:10.1016/0029-8018(93)e0009-h

Cited by 56 publications

(25 citation statements)

References 11 publications

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“…Lee [11] used an approach that separated the non-homogeneous boundary value problem into two homogeneous boundary value problems, one horizontally and the other vertically, and derived an analytical solution to the heave radiation problem for a rectangular structure. A boundary element method was used to solve the problem and the added mass and damping coefficients of the structure were presented graphically.…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic coefficients in surge for a radiating hollow cylinder placed above a coaxial cylinder at finite ocean depth

Hassan

Bora

2014

J Mar Sci Technol

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Hydrodynamic coefficients due to horizontal oscillation in surge motion for a floating, hollow cylinder placed above a fixed, coaxial, bottom-mounted cylinder are investigated within the framework of linear, water wave theory. This problem of radiation by this specific pair of two cylinders can be considered as a wave energy device consisting of two coaxial cylinders: the upper one hollow and the lower one solid. The energy that is created and transferred by this device finds use in a number of practical applications. We use the method of separation of variables to obtain the analytical expressions for the corresponding radiated potentials in clearly identified regions. By using the matching conditions which ensure the continuity of velocity and pressure along the virtual vertical boundaries of the regions, a system of linear equations for the unknown coefficients is derived and solved. The analytical expressions of the radiated potentials allow us to obtain the hydrodynamic coefficients, namely, the added mass and damping coefficients, which play a vital role for a structure in motion, however small. A set of values of added mass and damping coefficients is obtained for different radii of the fixed cylinder and for different gaps between the cylinders (i.e., also for different drafts of the floating cylinder) for the same fixed radii of the cylinders. It is observed that changes in values in radius and the gap have significant effect on the hydrodynamic coefficients. We also compute the coefficients due to different gaps between the cylinders with the radii of both taken to be different. The behaviour of both the added mass and damping coefficients is observed to be steady in the lower frequency range.However, fluctuations are observed for both coefficients due to resonance in the neighbourhood of a specific frequency. These results are depicted graphically and compared with available results. Comparison is carried out with numerical data presented by other investigators by considering the case of a hollow cylinder floating over an even sea bottom, i.e., without the coaxial cylindrical caisson underneath. Good agreement is observed from this comparison. A numerical verification is also carried out for the body boundary condition satisfied at the boundary of both the cylinders.

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Section: Introductionmentioning

confidence: 99%

Hydrodynamic coefficients in surge for a radiating hollow cylinder placed above a coaxial cylinder at finite ocean depth

Hassan

Bora

2014

J Mar Sci Technol

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“…It must be mentioned that the similar conducting method as above was first described by Lee [26] for the heavy radiation of a floating rectangular structure. This can also be found in [27] for wave motion over a submerged bottom-standing rectangular porous bar.…”

Section: Analytical Solutionsmentioning

confidence: 99%

An alternative analytical solution for water-wave motion over a submerged horizontal porous plate

Liu

2010

J Eng Math

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This study gives an alternative analytical solution for water-wave motion over an offshore submerged horizontal porous-plate breakwater in the context of linear potential theory. The matched-eigenfunction-expansions method is used to obtain the solution. The solution consists of a symmetric part and an antisymmetric part. The symmetric part is also the solution of wave reflection by a vertical solid wall with a submerged horizontal porous plate attached to it. In comparison with previous analytical solutions with respect to finite submerged horizontal porous plates, no complex water-wave dispersion relations are included in the present solution. Thus, the present solution is easier for numerical implementation. Numerical examples show that the convergence of the present solution is satisfactory. The results of the present solution also agree well with previous results by different analytical approaches, as well as previous numerical results by different boundary-element methods. The present solution can be easily extended to the case of multi-layer submerged horizontal porous plates, which may be more significant in practice for meeting different tide levels.

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“…Wu et al (1995) used the matched eigenfunction expansion method to analyze the wave induced responses of an elastic rectangular floating plate using modal expansions of the structural motion. Lee (1995) presented an analytical solution to the heave radiation problem of a rectangular structure in an infinite domain with constant water depth. The generated waves, the added mass and the radiation damping coefficients were investigated.…”

Section: Introductionmentioning

confidence: 99%

Transmission coefficients of a floating rectangular breakwater with porous side plates

Cho

2016

International Journal of Naval Architecture and Ocean Engineeri

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The interaction between incident waves and a floating rectangular breakwater with the vertical porous side plates has been investigated in the context of the two-dimensional linear potential theory. The matched eigenfunction expansion method(MEEM) for multiple domains is applied to obtain the analytic solutions. The dependence of the transmitted coefficients and motion responses on the design parameters, such as porosity and protruding depth of side plates, is systematically analyzed. It is found that the non-dimensional wavelength where the sudden drop of transmission coefficients occurs, corresponds to the heave resonant frequency obtained from Ruol et al. (2013) for p-type floating breakwater. It is concluded that both properly selected porosity and deeper protruding depth of side plates are helpful in reducing the transmission coefficients and also extending the wider applicable extent of incident wavelength for performance enhancement.

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On the heave radiation of a rectangular structure

Cited by 56 publications

References 11 publications

Hydrodynamic coefficients in surge for a radiating hollow cylinder placed above a coaxial cylinder at finite ocean depth

Hydrodynamic coefficients in surge for a radiating hollow cylinder placed above a coaxial cylinder at finite ocean depth

An alternative analytical solution for water-wave motion over a submerged horizontal porous plate

Transmission coefficients of a floating rectangular breakwater with porous side plates

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