A Study on the Non-Linear Hydrodynamic Forces for Two-Dimensional Floating Body Heaving with Large-Amplitude

Abstract

This paper provides a numerical calculation method for the first-second-and third-order hydrodynamic forces acting on two-dimensional floating body heaving with large amplitude. The procedure of the calculations is based on the theory in which it is assumed that the free surface elevation are small and that the interval of impulsive motions are small enough too but the amplitude of the oscillation is so large. So that the non-linear hydrodynamic problem can be formulated using the impulse response function and the problem can be solved by memory effect function which is given from the wave amplitude ratios in the frequency domain. Numerical calculations are made for a circular cylinder and the results are compared with Yamashita's experiments and the numerical results which are calculated by Chapman's method. It is observed that the calculated value are in fairly good agreement with those experiments.