Hydro-elastic wave loads on multiple vertical cylinders
International Workshop on the Mathematics of Sea Ice and Ice Sheets, Toowoomba, Australia, 10 - 12 November 2021, pp.1, (Summary Text)
- Publication Type: Conference Paper / Summary Text
- City: Toowoomba
- Country: Australia
- Page Numbers: pp.1
- Dokuz Eylül University Affiliated: Yes
Abstract
The problem of ice loads on multiple vertical cylinders of circular
cross section in an ice cover of infinite extent is studied. Hydro-elastic
waves propagate in the ice cover towards the cylinders which are fixed to the
sea bottom. It is a three-dimensional linearized problem with finite water
depth. The problem is solved by the hydrodynamic interaction theory of Twersky
(1952) and the vertical mode method (Korobkin
et al. (2019)). The ice plate is frozen to the cylinders which is
modelled by clamped edge conditions. 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. Evanescent waves are included in the solution
of the problem which correspond to the complex roots of the dispersion relation
for hydro-elastic waves. The present results for the forces acting on a
configuration of four identical circular cylinders is compared with the
numerical results of Ren et al. (2018).