Influence of Whipping on Long term Vertical Bending Moment

This paper is concerned with estimating the response value corresponding to a long return period, say a twenty years. Time domain simulation is required to obtain the nonlinear response, and long time series are required to limit the statistical uncertainty in the simulations. It is crucial to introduce ways to improve the efficiency in the calculation. A method to determine the long term extremes by considering only a few short term sea state is applied. Long term extreme values are estimated using a set of sea states which have a certain probability of occurrence, known as the contour line approach. Effect of whipping is included by assuming that the whipping and wave induced response are independent, but the effect of correlation of the long term extreme value is also studied. Numerical calculations are performed using a nonlinear, hydroelastic strip theory as suggested by (Xia et al 1998). Results are presented for the S-175 container ship, (15th & 16th ITTC Seakeeping Committee 1983). The analysis shoes that whipping increases the vertical bending moment and that the correlation is significant