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194 Smart Technologies <strong>for</strong> Safety Engineering<br />

Figure 5.37 Two-dimensional model of collision: initial state and resulting de<strong>for</strong>mation<br />

in the cavities will be fixed and equal to 100 % in the front cavity, 50 % in adjacent cavities<br />

and 10 % in others. In all considered examples, the initial inflation of the chambers will be<br />

executed during 200 ms and the ship will impact the structure directly afterwards.<br />

5.5.2.1 Minimization of Ship Acceleration<br />

The first objective of the pressure adjustment is to decrease ship accelerations. In the case<br />

of an inflatable torus, the equivalence of acceleration and pressure minimization problems<br />

is disrupted due to the influence of an initial change in the chamber volume, <strong>for</strong>ces arising<br />

during rubber de<strong>for</strong>mation and a change in the contact area between the ship and the inflatable<br />

structure during collision. In the simplest semi-active case, only the initial pressure is<br />

adjusted so after the inflation phase, the mass of the gas in the chambers remains constant. A<br />

minimal ship acceleration of 58.84 m/s2 (cf. Figure 5.38, dark line) is obtained <strong>for</strong> the highest<br />

admissible initial pressure (3 atm), which is the consequence of the significant expansion of<br />

the front chamber after inflation.<br />

A more sophisticated type of semi-active system includes the exhaust valves, the opening of<br />

which can be adjusted <strong>for</strong> a particular impact scheme, but it remains constant during the impact<br />

Pressure in the front cavity [MPa]<br />

0.80 60.00<br />

0.60<br />

0.40<br />

0.20<br />

Ship acceleration [m/s2]<br />

50.00<br />

40.00<br />

30.00<br />

20.00<br />

10.00<br />

0.00<br />

0.00<br />

0.00 0.20 0.40 0.60 0.80<br />

0.00 0.20 0.40 0.60 0.80<br />

Time [s] Time [s]<br />

(a) (b)<br />

Figure 5.38 Semi-active adaptation without pressure release (dark line) and with pressure release<br />

(bright line): (a) pressure in the front chamber, (b) corresponding ship acceleration

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