Computation of the Hydrodynamic Forces Induced by General Vibration of Cylinders
The hydrodynamic pressures created by the arbitrary deformation around the girth of a two-dimensional section are computed in a form suitable for finite-element structural analysis. The computations are based on the panel method developed by Frank (1976) for determining the hydrodynamic forces on rigid sections. In this method the section is approximated by straight-line segments on each of which source singularities of constant strength are distributed. The source strengths are determined by matching the kinematic boundary condition at the center of each panel. Frank's method is extended to treat nonrigid-body deformations of an infinite cylinder, including deformations which are also periodically varying in the longitudinal direction. The results show that these hydrodynamic pressures are quite dependent on the shape of the deformation pattern and are extremely sensitive to the longitudinal periodicity.