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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dc.contributor.authorDarsono, Synthia Dewi
dc.date.accessioned2018-08-28T21:49:08Z
dc.date.available2018-08-28T21:49:08Z
dc.date.issued2000
dc.description.abstractFor 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.en_US
dc.identifier.urihttp://hdl.handle.net/10179/13633
dc.language.isoenen_US
dc.publisherMassey Universityen_US
dc.rightsThe Authoren_US
dc.subjectMathematical modelsen_US
dc.subjectElastic plates and shellsen_US
dc.subjectFloating bodiesen_US
dc.subjectWater wavesen_US
dc.subjectScattering (Physics)en_US
dc.titleThe 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 Zealanden_US
dc.typeThesisen_US
massey.contributor.authorDarsono, Synthia Dewi
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorMassey Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Science (M. Sc.)en_US
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