Vibrations of a circular cylinder submerged in a fluid with a non-homogeneous upper boundary

The results of solving a linear problem on steady vibrations of a horizontal cylinder submerged in a fluid, whose upper boundary is partially closed by a solid lid, whereas the rest of the surface is free, are presented. Multipole and eigenfunction expansion methods are used. Reciprocity relations are derived. The added-mass and damping coefficients and the wave amplitudes on the free fluid surface are calculated.