Added mass of whipping modes for ships at high Froude number by a free surface boundary element method coupled with strip theory

Abstract

Accurate prediction of the whipping response of a ship's structure following a wave impact is fundamental to both the prediction of instantaneous local stresses and global fatigue life assessment. In particular the added mass effect of the surrounding water has a profound effect on the modal frequencies. "Strip theory", routinely used for analysis of rigid body motions of ships in waves, is extended in this paper to include ship flexure. Moreover, the theoretical foundation of the method is discussed and it is shown that, although the theory becomes invalid for rigid body motions of high-speed vessels,