| 有限水深中垂直下潜弹性薄板的水波散射(英文) |
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| 引用本文： | Rumpa,Chakraborty;B.,N.,Mandal. 有限水深中垂直下潜弹性薄板的水波散射(英文)[J]. 船舶与海洋工程学报, 2013, 12(4): 393-399. DOI: 10.1007/s11804-013-1209-7 |
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| 作者姓名： | Rumpa,Chakraborty B.,N.,Mandal |
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| 作者单位： | Physics and Applied Mathematics Unit,Indian Statistical Institute |
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| 基金项目： | supported by the NASI Senior Scientist Fellowship project ;a DST research project (No. SR/S4/MS: 521/08) |
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| 摘 要： | The problem of water wave scattering by a thin vertical elastic plate submerged in uniform finite depth water is investigated here.The boundary condition on the elastic plate is derived from the Bernoulli-Euler equation of motion satisfied by the plate.Using the Green’s function technique,from this boundary condition,the normal velocity of the plate is expressed in terms of the difference between the velocity potentials(unknown)across the plate.The two ends of the plate are either clamped or free.The reflection and transmission coefficients are obtained in terms of the integrals’involving combinations of the unknown velocity potential on the two sides of the plate,which satisfy three simultaneous integral equations and are solved numerically.These coefficients are computed numerically for various values of different parameters and depicted graphically against the wave number in a number of figures.
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| 关 键 词： | thin vertical elastic plate uniform finite depth water wave scattering reflection and transmission coefficients |
Water wave scattering by an elastic thin vertical plate submerged in finite depth water |
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| Rumpa Chakraborty,B. N. Mandal. Water wave scattering by an elastic thin vertical plate submerged in finite depth water[J]. Journal of Marine Science and Application, 2013, 12(4): 393-399. DOI: 10.1007/s11804-013-1209-7 |
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| Authors: | Rumpa Chakraborty B. N. Mandal |
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| Affiliation: | 1. Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata, 700108, India
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| Abstract: | The problem of water wave scattering by a thin vertical elastic plate submerged in uniform finite depth water is investigated here. The boundary condition on the elastic plate is derived from the Bernoulli-Euler equation of motion satisfied by the plate. Using the Green’s function technique, from this boundary condition, the normal velocity of the plate is expressed in terms of the difference between the velocity potentials (unknown) across the plate. The two ends of the plate are either clamped or free. The reflection and transmission coefficients are obtained in terms of the integrals’ involving combinations of the unknown velocity potential on the two sides of the plate, which satisfy three simultaneous integral equations and are solved numerically. These coefficients are computed numerically for various values of different parameters and depicted graphically against the wave number in a number of figures. |
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