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is another problem related to lacking standardisation of seakeeping simulations. Currently,<br />

there is neither an international standard defining minimum requirements for numerical<br />

seakeeping co<strong>des</strong> employed for the assessment of dynamic ship stability, nor any<br />

standardised procedure for the set up of environmental conditions to be used for the<br />

simulations. For the practical application of a simulation-based criterion this would mean that<br />

first a basic standard for numerical seakeeping simulations had to be established.<br />

Taking all this into account, a regulation directly and solely depending on numerical seakeep-<br />

ing simulations today will hardly be accepted as a standard procedure for the assessment of<br />

the intact stability of ships. This results in the need for introducing an alternative approach<br />

additionally to the simulation based ISEI-approach. The simplified approach shall be able to<br />

address the same phenomena as the direct one with comparable reliability and with<br />

consistent results, employing the experiences and findings made during the simulations.<br />

A simplified, deterministic criterion always addresses only a clearly specified and limited set<br />

of phenomena or failure mechanisms. Thus, its applicability must be always limited to a<br />

certain set of operating conditions in which the ship is endangered by exactly those<br />

phenomena covered by the criterion. Failure mechanisms in head and following seas are<br />

quite different. Although they are related to the dynamic change of righting levers in waves,<br />

the failure scenarios are quite different. In head seas the ship can be excited in a certain<br />

range of encounter periods. This results in large roll amplitu<strong>des</strong>, often leading to severe<br />

damage to the ship and the cargo on board. As the encounter frequency in head seas is<br />

larger than in following seas, the resonance conditions are usually met at larger GM values<br />

than in following seas. Additionally the time, the ship faces low stability while sitting on the<br />

wave crest position is much shorter than in following seas. Thus, simplified criteria for head-<br />

and following sea situations must assess different failure scenarios. Our simplified insufficient<br />

stability event index (ISEIs) targets following and stern quartering sea cases only, as these<br />

scenarios more often lead to the total loss of a ship as head sea incidents and thus have the<br />

highest priority to be covered by a suitable criterion. This is supported clearly by the charts in<br />

Fig. 3, which contain statistical data on intact stability accidents sorted by wave encounter<br />

direction.<br />

Fig 8: Statistical distribution of capsizing accidents after encounter angle of waves<br />

One important requirement for the simplified criterion is that it has to be consistent with the<br />

simulated approach. This means that the simulated values for the ISEIfollowing shall be directly<br />

comparable with those obtained by the ISEIs approach. For this reason the simplified<br />

approach is based on the same formulas as the simulated one. The only difference can be<br />

found in the way<br />

41<br />

δP risk is calculated. Again we use the failure coefficient C instead of the<br />

p fail . As for the simulated approach this failure coefficient takes the value 1 for all wave<br />

heights exceeding a certain limiting wave height. Here the significant limiting wave height H1/3<br />

is replaced by a regular wave of the same height, denoted as "equivalent significant wave<br />

height" (H).

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