Scattering of waves by articulated floating elastic plates in water of infinite depth

被引:23
|
作者
Karmakar, D [1 ]
Sahoo, T [1 ]
机构
[1] Indian Inst Technol, Dept Ocean Engn & Naval Architecture, Kharagpur 721302, W Bengal, India
关键词
articulated plate; reduction method; mixed-type Fourier transforms; hydroelasticity; very large floating structures;
D O I
10.1016/j.marstruc.2006.01.002
中图分类号
U6 [水路运输]; P75 [海洋工程];
学科分类号
0814 ; 081505 ; 0824 ; 082401 ;
摘要
The wave scattering by an articulated floating elastic plate in water of infinite depth is analyzed in the linearized theory of water waves. Using the geometrical symmetry of the articulated plate, the associated boundary value problem in the half-plane is reduced to two boundary value problems in the quarter plane, whose solutions are derived by the direct application of a mixed-type Fourier transform and the corresponding mode-coupling relation. The articulated plate is modeled as the assembling of two semi-infinite thin clastic plates which are attached by connectors. The hydroelastic behavior of the floating elastic plate is investigated by analyzing the stiffness of the connectors on the reflection and transmission characteristics of the flexural gravity waves. The phase and group velocity, reflection and transmission coefficient and the vertical displacement response of the elastic plate are computed and analyzed to understand the effect of articulation on the wave motion below the plate. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:451 / 471
页数:21
相关论文
共 50 条
  • [31] WATER WAVES OVER A CHANNEL OF INFINITE DEPTH WITH A DOCK
    HEINS, AE
    [J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1947, 53 (11) : 1122 - 1122
  • [32] Periodic waves with constant vorticity in water of infinite depth
    VandenBroeck, JM
    [J]. IMA JOURNAL OF APPLIED MATHEMATICS, 1996, 56 (03) : 207 - 217
  • [33] SCATTERING OF SHEAR-WAVES BY AN ELASTIC SPHERE EMBEDDED IN AN INFINITE ELASTIC SOLID
    IWASHIMIZU, Y
    [J]. JOURNAL OF SOUND AND VIBRATION, 1975, 40 (02) : 267 - 271
  • [34] Dispersion of elastic guided waves in piezoelectric infinite plates with inversion layers
    Cortes, Daniel H.
    Datta, Subhendu K.
    Mukdadi, Osama M.
    [J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2008, 45 (18-19) : 5088 - 5102
  • [35] The motion of an elastic disk floating on shallow water in waves
    Tsubogo, T
    [J]. PROCEEDINGS OF THE ELEVENTH (2001) INTERNATIONAL OFFSHORE AND POLAR ENGINEERING CONFERENCE, VOL I, 2001, : 229 - 233
  • [36] Scattering theory and cancellation of gravity-flexural waves of floating plates
    Farhat, M.
    Chen, P-Y
    Bagci, H.
    Salama, K. N.
    Alu, A.
    Guenneau, S.
    [J]. PHYSICAL REVIEW B, 2020, 101 (01)
  • [37] REFLECTION OF WATER WAVES FROM FLOATING ICE IN WATER OF FINITE DEPTH
    WEITZ, M
    KELLER, JB
    [J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1950, 3 (03) : 305 - 318
  • [38] THE SCATTERING OF VORTICITY WAVES BY AN INFINITE CASCADE OF FLAT PLATES IN SUBSONIC FLOW
    PEAKE, N
    [J]. WAVE MOTION, 1993, 18 (03) : 255 - 271
  • [39] Wave responses of floating elastic plates in deep water based on thick plates theory
    Zhao, Cun-Bao
    Liang, Rui-Fen
    Huang, Hai-Long
    Zhang, Yao-Hui
    Zhu, Zhong-Ya
    [J]. Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics, 2010, 27 (04): : 738 - 744