Mathematics of sea ice in the twenty-first century, Cambridge, İngiltere, 19 - 30 Eylül 2022, ss.1
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).