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Diffraction of hydro-elastic waves by vertical cylinders

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SIPW05 - SIP Follow on: Mathematics of sea ice in the twenty-first century

Three-dimensional linearized problem of hydro-elastic wave interaction with a vertical cylinder of non-circular cross section in an ice cover of infinite extent is studied using an asymptotic method combined with the vertical mode method. This cylinder can be considered as a leg of an offshore platform which is used for exploration of oil and gas from under the seabed. Hydro-elastic waves propagate in the ice cover towards the cylinders which are assumed to be frozen to the ice plate and fixed to the sea bottom. The ice deflection is described by the equation of a thin elastic plate of constant thickness. The flow under the ice is described by the linear theory of potential flows. Strains along the contact line, where the ice plate is clamped to the vertical cylinder are investigated for nearly square and elliptic cross sections of the vertical cylinders. In addition to that, the problem of ice loads acting on multiple vertical cylinders of circular cross-sections frozen in an ice cover of infinite extent is studied by an iterative method. Wave forces acting on a configuration of four identical circular cylinders are investigated for different ice thicknesses. This research was funded by joint project TUBITAK (Scientific and Technological Research Council of Turkey)-RFBR (Russian Foundation for Basic Research) “Loads on engineering structures in sea ice” with project no: 119N361 (TUBITAK), 20-58-46009 (RFBR).   Disibuyuk, N.B.1,*, Yilmaz, O.2, Korobkin, A.A.3, Shishmarev, K.4, Khabakhpasheva, T.5   1 Department of Mathematics, Dokuz Eylul University, Izmir, Turkey 2 Department of Mathematics, Izmir Institute of Technology, Izmir, Turkey 3 School of Mathematics, University of East Anglia, Norwich, United Kingdom 4 Altai State University, Barnaul, Russia 5 Lavrentyev Institute of Hydrodynamics SB RAS , Novosibirsk, Russia

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