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Chapter 3 - Dynamics of Marine Vessels

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10<br />

3.2.4 Ballast Systems<br />

Example (Semi-Submersible Ballast Control, Continues): The water flow<br />

model corresponding to the figure is:<br />

<br />

V̇ 1 −p1<br />

V̇ 2 −p3<br />

V̇ 3 p2 p3<br />

V̇ 4 p1 − p2<br />

Tṗ p satp d <br />

V1<br />

V2<br />

V3<br />

V4<br />

̇ Lp<br />

, p <br />

p1<br />

p2<br />

p3<br />

, L <br />

−1 0 0<br />

0 0 −1<br />

0 1 1<br />

1 −1 0<br />

p 1<br />

+<br />

V 1<br />

P P<br />

V 4<br />

O<br />

y b<br />

P<br />

P<br />

x b<br />

p 2<br />

+<br />

+<br />

V 2<br />

P P<br />

V 3<br />

p 3<br />

Ivar Ihle – TTK4190 Spring 2006

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