The linear wave response of a single and a periodic line-array of floating elastic plates: a thesis presented in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University, Albany, New Zealand

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dc.contributor.authorWang, Cynthia Dewi
dc.date.accessioned2010-09-07T23:22:43Z
dc.date.availableNO_RESTRICTIONen_US
dc.date.available2010-09-07T23:22:43Z
dc.date.issued2004
dc.description.abstractWe propose an improved technique to calculate the linear response of a single and multiple plates models due to ocean waves. The single plate model is the basis for the multiple plates model which we take to be a periodic array of identical plates. For the single plate model we solve the plate displacement by the Finite Element Method (FEM) and the water potential by the Boundary Element Method (BEM). The displacement is expanded in terms of the basis functions of the FEM. The boundary integral equation representing the potential is approximated by these basis functions. The resulting integral operator involving the free-surface Green's function is solved using an elementary integration scheme. Results are presented for the single plate model. We then use the same technique to solve for the periodic array of plates problem because the single and the periodic array plates model differ only in the expression of the Green's function. For the periodic array plate model the boundary integral equation for the potential involves a periodic Green's function which can be obtained by taking an infinite sum of the free-surface Green's function for the single plate model. The solution for the periodic array plate is derived in the same way as the single plate model. From this solution we then calculate the waves scattered by this periodic array.en_US
dc.identifier.urihttp://hdl.handle.net/10179/1625
dc.language.isoenen_US
dc.publisherMassey Universityen_US
dc.rightsThe Authoren_US
dc.subjectPlates modelen_US
dc.subjectFinite element methoden_US
dc.subjectBoundary element methoden_US
dc.subjectGreen's functionen_US
dc.subject.otherFields of Research::230000 Mathematical Sciences::230100 Mathematicsen_US
dc.titleThe linear wave response of a single and a periodic line-array of floating elastic plates: a thesis presented in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University, Albany, New Zealanden_US
dc.typeThesisen_US
massey.contributor.authorWang, Cynthia Dewi
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorMassey Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophy (Ph.D.)en_US
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