A mild-slope model for membrane-coupled gravity waves

Journal of Fluids and Structures - Tập 30 - Trang 173-187 - 2012
S.R. Manam1, R.B. Kaligatla1
1Department of Mathematics, Indian Institute of Technology Madras, Chennai 600036, India

Tài liệu tham khảo

Bauer, 1981, Hydroelastic vibrations in a rectangular container, International Journal of Solids and Structures, 17, 639, 10.1016/0020-7683(81)90001-9 Bennetts, 2007, A multi-mode approximation to wave scattering by ice sheets of varying thickness, Journal of Fluid Mechanics, 579, 413, 10.1017/S002211200700537X Bennetts, 2009, The interaction of flexural-gravity waves with periodic geometries, Wave Motion, 46, 57, 10.1016/j.wavemoti.2008.08.002 Berkhoff, J.C.W., 1973. Computation of combined refraction-diffraction. In: Proceedings of 13th International Conference on Coastal Engineering, Vancouver, Canada, ASCE, pp. 471–490. Booij, 1983, A note on the accuracy of the mild-slope equation, Coastal Engineering, 7, 191, 10.1016/0378-3839(83)90017-0 Chamberlain, 1995, The modified mild-slope equation, Journal of Fluid Mechanics, 291, 393, 10.1017/S0022112095002758 Chiba, 2002, Hydroelastic coupled vibrations in a cylindrical container with a membrane bottom containing liquid with surface tension, Journal of Sound and Vibration, 251, 717, 10.1006/jsvi.2001.3986 Cho, 1998, Interactions of a horizontal flexible membrane with oblique incident waves, Journal of Fluid Mechanics, 367, 139, 10.1017/S0022112098001499 Daneshmand, 2010, Coupled free vibration analysis of a fluid-filled rectangular container with a sagged bottom membrane, Journal of Fluids and Structures, 26, 236, 10.1016/j.jfluidstructs.2009.11.001 Davies, 1984, Surface-wave propagation over sinusoidally varying topography, Journal of Fluid Mechanics, 144, 419, 10.1017/S0022112084001671 Karmakar, 2008, Gravity wave interaction with floating membrane due to abrupt change in water depth, Ocean Engineering, 35, 598, 10.1016/j.oceaneng.2008.01.009 Kirby, 1986, A general wave equation for waves over rippled beds, Journal of Fluid Mechanics, 162, 171, 10.1017/S0022112086001994 Manam, 2006, Expansion formulae in wave structure interaction problems, Proceedings of the Royal Society London Series A, 462, 263 Mei, 1985, Resonant reflection of surface water waves by periodic sandbars, Journal of Fluid Mechanics, 152, 315, 10.1017/S0022112085000714 Meylan, 1994, The response of ice floes to ocean waves, Journal of Geophysical Research, 99, 891, 10.1029/93JC02695 Miles, 1991, Variational approximations for gravity waves in water of variable depth, Journal of Fluid Mechanics, 232, 681, 10.1017/S0022112091003853 Montiel, 2012, The transient response of floating elastic plates to wavemaker forcing in two dimensions, Journal of Fluids and Structures, 28, 416, 10.1016/j.jfluidstructs.2011.10.007 Porter, 2004, Approximations to wave scattering by an ice sheet of variable thickness over undulating bed topography, Journal of Fluid Mechanics, 509, 145, 10.1017/S0022112004009267 Porter, 1995, Extensions of the mild-slope equation, Journal of Fluid Mechanics, 300, 367, 10.1017/S0022112095003727 Rhodes-Robinson, 1971, On the forced surface waves due to a vertical wave-maker in the presence of surface tension, Proceedings of Cambridge Philosophical Society, 70, 323, 10.1017/S0305004100049926 Sahoo, T., Yip, T.L., Chwang, A.T., 2001. Wave interaction with a semi infinite horizontal membrane. In: Proceedings of XXIXth IAHR Congress, Theme E-Hydraulics for Maritime Engineering, Beijing, China, pp. 109–117. Sawaragi, 1995 Smith, 1975, Scattering of surface waves by a conical island, Journal of Fluid Mechanics, 72, 373, 10.1017/S0022112075003424 Squire, 2007, Of ocean waves and sea-ice revisited, Cold Regions Science and Technology, 49, 110, 10.1016/j.coldregions.2007.04.007 Squire, 1995, Of ocean waves and sea ice, Annual Review of Fluid Mechanics, 27, 115, 10.1146/annurev.fl.27.010195.000555 Yip, T.L., Sahoo, T., Chwang, A.T., 2001. Wave scattering by multiple floating membranes. In: Proceedings of the 11th International Offshore and Polar Engineering Conference, vol. 3. Stavanger, Norway, pp. 379–384.