4. ANALYSIS OF QUASI-STATIONARY HYDRODYNAMIC FORCES
An expression by a mathematical maneuvering model for stationary hydrodynamic forces XH, YH and NH corresponds to another expression for experimental results of hydrodynamic forces acting on a ship hull in stationary maneuvering motion. Then quasi-stationary hydrodynamic forces obtained by harmonic captive tests mentioned above are also expressed by a mathematical model. The most popular mathematical model is well known as the polynomial expression proposed by Abkowitz [5] with kinematic variables that occur in straight course maneuvering motion. In order to analyze and predict various aspects of maneuvering behaviors, e.g. harbor maneuvering, this paper adopts a component-type mathematical maneuvering model derived from a vortex system (see Appendix). This model can analyze the quasi-stationary hydro-dynamic forces that occur in harmonic captive tests in conventional water tanks as well as stationary hydrodynamic forces that occur in stationary straight-line and circular tests in wide water tanks.
Fig 5. |
Quasi-stationary hydrodynamic forces analyzed and extrapolated in harmonic pure-yaw motion test compared with the results of pure-turn towing test. |
Fig. 6. |
Quasi-stationary hydrodynamic forces analyzed in harmonic combined motion test and extrapolated in pure-sway and pure-yaw motion compared with the results of oblique and pure-turn towing tests. |
(a) pure-sway
(b) pure-yaw
|