Steady-State Motion of a Load on an Ice Cover with Linearly Variable Thickness in a Channel

The paper considers the visco-elastic response of ice cover in a channel under an external load moving with constant speed along center line. has rectangular cross-section finite depth and width. fluid is inviscid incompressible its motion potential. covered by thin sheet frozen to walls. thickness varies linearly symmetrically across channel, being lowest at highest Ice deflections strains are independent time coordinate system load. problem solved numerically using Fourier transform method normal modes channel. series coefficients for determined truncation resulting infinite systems linear algebraic equations. plate investigated compared case mean thickness. It shown that even small variation significantly changes characteristics hydroelastic waves