Chung, H2011-11-142011-11-142010-12-092010-12-09Presentation at the NZ Mathematical Society Colloquium 2010, Dunedin, New Zealand, pp.7https://hdl.handle.net/10292/2541Numerical 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.Auckland University of Technology (AUT) encourages public access to AUT information and supports the legal use of copyright material in accordance with the Copyright Act 1994 (the Act) and the Privacy Act 1993. Unless otherwise stated, copyright material contained on this site may be in the intellectual property of AUT, a member of staff or third parties. Any commercial exploitation of this material is expressly prohibited without the written permission of the owner.Flexural wave propagation in a semi-infinite floating plate under an edge loadingConference ContributionOpenAccess19374