Scattering theory and cancellation of gravity-flexural waves of floating plates
نویسندگان
چکیده
منابع مشابه
Propagation of flexural waves at the interface between floating plates
We present a theoretical study of wave propagation in two adjoining floating plates of different flexural rigidity, such as fast-ice sheets that abut across a pressure ridge, etc. Analytical formulas for the transmission and reflection coefficients for various conditions at the interface are obtained using the Wiener-Hopf technique for the case of semiinfinite elastic plates joined by a straigh...
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Flexural wave speeds on beams or plates depend upon the bending stiffnesses which differ by the well-known factor (1 - nu2). A quantitative analysis of a plate of finite lateral width displays the plate-to-beam transition, and permits asymptotic analysis that shows the leading order dependence on the width. Orthotropic plates are analyzed using both the Kirchhoff and Kirchhoff-Rayleigh theories...
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Here we show that weakly nonlinear flexural-gravity wave packets, such as those propagating on the surface of ice-covered waters, admit three-dimensional fully localized solutions that travel with a constant speed without dispersion or dissipation. These solutions, that are formed at the intersection of line-soliton mean-flow tracks, have exponentially decaying tails in all directions and are c...
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Article history: Received 19 May 2010 Received in revised form 15 September 2010 Accepted 5 October 2010 Available online 13 October 2010 Flexural waves are scattered by inclusions in a thin plate. For a single inclusion of arbitrary shape, reciprocity relations are obtained connecting coefficients in circular multipole expansions. Then, a formula for the effective wavenumber in a random arrang...
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The paper presents new results on the localization and transmission of flexural waves in a structured plate containing a semi-infinite two-dimensional array of rigid pins. In particular, localized waves are identified and studied at the interface boundary between the homogeneous part of the flexural plate and the part occupied by rigid pins. A formal connection has been made with the dispersion...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2020
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.101.014307