The transmission of a flexural-gravitational wave through a rigid end-stop in a floating plate |
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| Institution: | 1. Materials Science Factory Instituto de Ciencia de Materiales de Madrid, CSIC, Madrid, Spain;1. Department of Civil and Environmental Engineering, University of Brasília, Brazil;2. Group for Numerical Methods in Engineering, University of Ciego de Ávila, Cuba;3. Department of Civil Engineering, Federal University of Goias, Brazil;1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 149 Yanchang Road, Shanghai 200072, China;2. Laboratory for Regional Oceanography and Numerical Modeling, Qingdao National Laboratory for Marine Science and Technology, Qingdao, 266071, China;3. Shanghai Key Laboratory of Mechanics in Energy Engineering, 149 Yanchang Road, Shanghai 200072, China |
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| Abstract: | An elastic plate is located on the surface of a liquid, in continuous contact with it and rigidly clamped in a support along a certain straight line. The orthogonal incidence of a small amplitude flexural-gravitational wave on the support is considered. Exact expressions are obtained for the wave field in the fluid and the flexural field in the plate. The transmission coefficient of the incident flexural-gravitational wave through the support and its reflection coefficient from it are determined. The forces which arise in the support are found. The investigation is carried out for liquids of finite and infinite depth. The effect of the depth of the liquid on the wave processes is indicated. The liquid is assumed to be inviscid and its friction on the bottom and the lower surface of the plate in the neighbourhood of the support is therefore ignored. |
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