Modern Windships; Phase 2 Appendix 5. Calculation of Ship Motions and AccelerationsAccording to DNV, Volume 1, Pt. 3, Ch. 1, Sec. 4Ship design factors given from the ship designers: Ship design factors given from the ship designers: L=210 m Surge, sway/yaw and heave accelerations: {B300} The surge acceleration is given by:
The combined sway/yaw acceleration is given by:
The heave acceleration is given by:
Roll motion and acceleration: {B400} Roll angle is given by: The period of roll is given by: z = distance from the baseline to the roll axis of rotation
The tangential roll acceleration at the height, h above the baseline is given by:
Pitch motion and acceleration: {B500} Pitch angle is given by: The period of pitch is given by:
The tangential pitch acceleration at the length, l from the A.P. is given by: Combined vertical acceleration: {B600} Combined transverse acceleration: {B700} Since we want to have a_{ry} given as an angular acceleration and a_{y} is small compared to the other terms, the transverse acceleration is calculated as: Forsat Combined longitudinal acceleration: {B800} Forsat
Combination between acceleration in different directionsVertical and transverse force: {C500} Vertical force: Transverse force: Vertical and longitudinal force: Vertical force: Longitudinal force:
