Tayler 1986: Difference between revisions
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280 pp. 1986. | 280 pp. 1986. | ||
Contains a description of the [[Floating Elastic Plate]] problem | Contains a description of the [[Floating Elastic Plate]] problem for a single plate on finite | ||
length in two-dimensions | |||
on [[Infinitely Deep]] water | on [[Infinitely Deep]] water | ||
as a model for a floating breakwater. | as a model for a floating breakwater. | ||
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to <math>L\,</math> (which can be choosen freely) and time with respect to <math>\sqrt{L/g}\,</math> and the non-dimensional | to <math>L\,</math> (which can be choosen freely) and time with respect to <math>\sqrt{L/g}\,</math> and the non-dimensional | ||
parameters are | parameters are | ||
where <math>\alpha = \omega^2\, | where <math>\alpha = \omega^2\, </math><math>\beta = D/(\rho g L^4)\,</math> | ||
and <math>\gamma = \rho_i h/(\rho L)\,</math>. | and <math>\gamma = \rho_i h/(\rho L)\,</math>. | ||
Revision as of 08:25, 16 May 2006
A. B. Tayler, Mathematical Models in Applied Mathematics, Clarandon Press, 280 pp. 1986.
Contains a description of the Floating Elastic Plate problem for a single plate on finite length in two-dimensions on Infinitely Deep water as a model for a floating breakwater. An approximate solution is the limit of small scattering is presented. The book introduces the non-dimensionalisation in which length is scaled with respect to [math]\displaystyle{ L\, }[/math] (which can be choosen freely) and time with respect to [math]\displaystyle{ \sqrt{L/g}\, }[/math] and the non-dimensional parameters are where [math]\displaystyle{ \alpha = \omega^2\, }[/math][math]\displaystyle{ \beta = D/(\rho g L^4)\, }[/math] and [math]\displaystyle{ \gamma = \rho_i h/(\rho L)\, }[/math].
