Hydro-elastic wave loads on multiple vertical cylinders

The problem of ice loads on multiple vertical cylinders of circularcross section in an ice cover of infinite extent is studied. Hydro-elasticwaves propagate in the ice cover towards the cylinders which are fixed to thesea bottom. It is a three-dimensional linearized problem with finite waterdepth. The problem is solved by the hydrodynamic interaction theory of Twersky(1952) and the vertical mode method (Korobkinet al. (2019)). The ice plate is frozen to the cylinders which ismodelled by clamped edge conditions. The ice deflection is described by theequation of a thin elastic plate of constant thickness. The flow under the iceis described by the linear theory of potential flows.  Evanescent waves are included in the solutionof the problem which correspond to the complex roots of the dispersion relationfor hydro-elastic waves. The present results for the forces acting on aconfiguration of four identical circular cylinders is compared with thenumerical results of Ren et al. (2018).