Flexural motion of a semi-infinite floating plate under localised edge loading
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Numerical computation of ﬂexural motion of a ﬂoating elastic plate is often complicated. The linear approximation of the motion makes the computation tractable for simple harmonic waves in a plate. I will introduce a few examples of the linear solution methods from various researchers. This talk will show how the Wiener-Hopf technique gives solutions for a semi-inﬁnite plate with a sinusoidal edge loading. The solution is nearly explicit, which lets us analyze the dynamics of the plate for many frequencies in time and space along the edge. Certain distributions of edge loading can approximate 7a localized forcing on the edge. Then, the Wiener-Hopf technique can be used to ﬁnd the response to a localised force at the edge of the plate. The resulting solutions may be used to ﬁnd the relationship between the deﬂection and velocity near the location of forcing.
KeywordsFlexural wave propagation in a semi-inﬁnite ﬂoating plate under an edge loading
DateDecember 9, 2010
SourcePresentation at the NZ Mathematical Society Colloquium 2010, Dunedin, New Zealand, pp.7
Item TypeConference Contribution
PublisherNew Zealand Mathematical Society (nzmathsoc.org.nz)