where M and are the mass matrix and acceleration vector of the body motion. FRes. , FF K. . , and are the restoring, Froude-Krylov(FK) and hydrodynamic forces, respectively. Furthermore, Fothers. means all other external and/or internal forces such as force due to appendage(s) or sloshing-induced force in liquid cargo. Linear pressure on the body surface can be written as follows: