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Practical Ship Hydrodynamics

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170 <strong>Practical</strong> <strong>Ship</strong> <strong>Hydrodynamics</strong><br />

The main manoeuvres in sea trials are:<br />

1. Turning circle test<br />

Starting from straight motion at constant speed, the rudder is turned at<br />

maximum speed to an angle υ (usually maximum rudder angle) and kept at<br />

this angle, until the ship has performed a turning circle of at least 540°. The<br />

trial is performed for both port and starboard side. The essential information<br />

obtained from this manoeuvre (usually by GPS) consists of (Fig. 5.4):<br />

Advance<br />

(at 90° change of heading)<br />

Tactical diameter<br />

(at 180° change of heading)<br />

Transfer (at 90° change<br />

of heading)<br />

Turning<br />

radius<br />

Rudder execute<br />

Approach course<br />

Drift angle<br />

Path of centre<br />

of gravity<br />

Figure 5.4 Definitions used on turning circle<br />

– tactical diameter<br />

– maximum advance<br />

– transfer at 90° change of heading<br />

– times to change heading 90° and 180°<br />

– transfer loss of steady speed<br />

Typical values are tactical diameter of 4.5–7L for slender, 2.4–4 for short<br />

and full ships. Decisive is the slenderness ratios L/ 3p r,wherer is the<br />

volume displacement.<br />

Fast displacement ships with Fn > 0.25 may feature dangerously large<br />

heel angles in turning circles. The heel is always outwards, i.e. away from<br />

the centre of the turning circle. (Submarines and boats with dynamic lift<br />

like hydrofoils are exceptional in that they may heel inwards.) The heel<br />

is induced by the centrifugal force m Ð u Ð r acting outwards on the ship’s<br />

centre of gravity, the hull force Yvv C Yrr acting inwards, and the much<br />

smaller rudder force Yυυ acting outwards. For manoeuvring predictions

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