The scattering of waves by an elastic floating body on water of variable depth : a thesis presented in partial fulfillment of the requirement for the degree of Master of Science in the subject of Mathematics at Massey University, Albany, New Zealand
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Date
2000
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Massey University
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Abstract
For many years polar scientists and offshore engineers have studied the behavior of a floating body in the presence of ocean waves. A large floating structure, such as a floating runway or an ice sheet, is sufficiently thin so that elasticity is important. The solution of the motion can be found by coupling the water and elastic plate equations. However these solutions have only been calculated when the water is of constant depth. In this thesis we shall present a solution for wave scattering by an elastic body on water of variable depth. Our solution method involves partitioning the problem domain into finite and semi-infinite regions. In the semi-infinite region the solution is obtained using an integral equation. A boundary element method together with a Green's function for the thin plate is used to solve for the finite region. The separate solution are then coupled to give the solution for the full problem.
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Mathematical models, Elastic plates and shells, Floating bodies, Water waves, Scattering (Physics)