The Simplified Formulas to Predict the Coefficients of Added Mass and Yaw Added Moment of Inertia of Ship in Shallow Water

Abstract

To know precisely the transient motion in a harbor maneuver ， it is important not only to estimate individually the hydrodynamic coefficients of added mass forces etc ． acting on ships but alsQ to reflect the influence of water depth and of ship type on the coefficients to maneuvering simulator convenient 正 y ． In the previous paper ， it has been demonstrated that a potential flow calculation method is available to estimate the added mass coefficients ． The present work gives simplified formulas for the ratio Qf the added 皿 ass and moment of inertia in shallow water to in deep water at the base of the results of some series calculations ． The simplified formulas are represented as follows ． Kx （ Surge＞，Ky （ Sway ） ， K 。z （ Yaw ） ＝ 1 十 α ｛ 〔 P ' diH ） − 1 ｝ Coefficients of α and β change accordi to the mode of ship nlotion and ship form coefficients such as draft − breadth ratio ， the block coefficients ， etc ． In order to obtain the added mass etc ． from the above formulas practically ， authors also suggest the forrnulas for each coefficient of Surge ， Sway and Yaw in deep water ． The predicted results using the simplified formulas show good agreement with the computational results and experimental results ，