The construction of exact solutions in the floating-plate problem |
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| Institution: | 1. Department of Land, Environment, Agriculture and Forestry, Università degli Studi di Padova, Viale dell''Università 16, 35020 Legnaro, PD, Italy;2. Faculty of Science and Technology, Free University of Bozen/Bolzano, Universitätsplatz 5 — Piazza Università 5, 39100, Bozen-Bolzano, Italy;3. Department of Ecosystems and Environment, Pontificia Universidad Catolica de Chile, Casilla 306, Correo 22, Vicuña Mackenna 4860, Comuna Macul, Santiago, Chile |
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| Abstract: | It is shown that it is possible to construct, by an inverse method, exact solutions of the problem of the flexural-gravitational oscillations of a floating elastic plate. The results obtained are used to check the accuracy of numerical solutions of the problem. It is shown that the numerical algorithm given in Ref. Khabakhpasheva TI. The plane problem of an elastic floating plate. In Continuum Dynamics. Inst. Gidrodinamiki SO Ross Akad Nauk 2000;16:166–9.], predicts, with high accuracy, the values of the amplitudes of the oscillations of the plate and the distributions of the bending moments and hydrodynamic pressure for a wide frequency range. |
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