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Examination of the intact stability and the seakeeping behaviour

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6 Detailed examination<br />

The evaluation discussed in chapter 5 discloses, that fur<strong>the</strong>r investigations are necessary for <strong>the</strong><br />

better underst<strong>and</strong>ing <strong>of</strong> <strong>the</strong> high transversal acceleration problem. For this reason <strong>the</strong> following<br />

detailed examinations are carried out.<br />

At rst, <strong>the</strong> inuence <strong>of</strong> <strong>the</strong> ship's <strong>stability</strong> on <strong>the</strong> transversal accelerations is analysed. Fur<strong>the</strong>rmore<br />

it has to be examine, if <strong>the</strong> large vessels, Vessel No. 11 <strong>and</strong> Vessel No. 15, are also<br />

endangered to encounter high acceleration <strong>and</strong> rolling angle values in a loading condition similar<br />

to <strong>the</strong> one <strong>of</strong> Vessel No. 14 (Chicago Express) when it experienced severe ship motions in<br />

accident.<br />

6.1 Variation <strong>of</strong> <strong>the</strong> GM values<br />

In this chapter <strong>the</strong> inuence <strong>of</strong> <strong>the</strong> initial <strong>stability</strong> (namely GM) on <strong>the</strong> occurring transversal<br />

acceleration for three out <strong>of</strong> <strong>the</strong> 15 examined vessels is determined. In order to consider <strong>the</strong><br />

probable inuence <strong>of</strong> <strong>the</strong> ship's size, a small, a mid-sized <strong>and</strong> a large vessel are chosen.<br />

Based on <strong>the</strong> ballast arrival loading condition, <strong>the</strong> value <strong>of</strong> GM solid is varied by changing <strong>the</strong><br />

vertical center <strong>of</strong> gravity KG <strong>of</strong> <strong>the</strong> vessel. The calculations are performed without considering<br />

<strong>the</strong> inuence <strong>of</strong> free surfaces, for <strong>the</strong> reasons named in chapter 3.6. The displacement as well as<br />

<strong>the</strong> ship's trim <strong>of</strong> <strong>the</strong> analysed ballast arrival condition are kept constant. For each GM value<br />

all three accident situations according to chapter 3.12 are simulated.<br />

In addition it is estimated, if such a GM solid or respectively KG value is achievable from a<br />

technical point <strong>of</strong> view. For instance a total ship's center <strong>of</strong> gravity KG at height <strong>of</strong> <strong>the</strong> inner<br />

bottom is not realistic. The feasible minimum KG depends on <strong>the</strong> light ship's vertical center <strong>of</strong><br />

gravity, <strong>the</strong> position <strong>and</strong> lling <strong>of</strong> <strong>the</strong> ballast water <strong>and</strong> fuel oil tanks in <strong>the</strong> lower part <strong>of</strong> <strong>the</strong><br />

ship as well as cargo in <strong>the</strong> holds.<br />

A shifted GM directly aects <strong>the</strong> <strong>seakeeping</strong> behavior. Hence to represent well <strong>the</strong> dierences,<br />

a new set <strong>of</strong> transfer functions (RAOs) according to chapter 2.1.1 has to be calculated for each<br />

GM value.<br />

6.1.1 Small vessel<br />

Vessel No. 13 was chosen as smallest vessel for <strong>the</strong> detailed <strong>stability</strong> analysis. Its relevant data<br />

are listed in table 6.1. More main dimension data <strong>of</strong> this vessel can be found in <strong>the</strong> appendix A.13<br />

on page 71. The GM is varied around <strong>the</strong> ballast arrival GM solid = 6.98 m within a range <strong>of</strong><br />

about GM ∼ = 3 ... 12 m.<br />

In gure 6.1 <strong>the</strong> resulting transversal accelerations on <strong>the</strong> bridge are shown related to <strong>the</strong><br />

dierent GM solid values. All three accident situations result in a comparable curve slope. In<br />

accident situation 1 <strong>and</strong> 2 <strong>the</strong> highest accelerations occur for <strong>the</strong> GM value <strong>of</strong> <strong>the</strong> ballast arrival<br />

loading condition. In accident situation 3 <strong>the</strong> highest acceleration occurs for a higher GM <strong>of</strong><br />

about 8 m. With a higher or a lower <strong>stability</strong> <strong>the</strong> vessel would experience signicantly smaller<br />

accelerations. Though just a GM solid value <strong>of</strong> 8 ... 9 m is realistically reachable for this vessel by<br />

e.g. lling ballast water in tanks in low positions. Higher values in this simulation can only be<br />

reached by decreasing <strong>the</strong> vertical center <strong>of</strong> gravity <strong>of</strong> <strong>the</strong> lightship weight, which is considered<br />

being impossible for an existing vessel.<br />

47

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