## Proceedings of the ... International Conference on Offshore Mechanics and Arctic Engineering, Volume 1, Parts 1-2American Society of Mechanical Engineers, 2004 - Arctic regions |

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Page 942

( 2 ) The

small for all the heading angles . ( 3 ) The overall increase to the total bending

moment ( RMS ) from the

all ...

( 2 ) The

**nonlinear**contributions to the low frequency , wave induced bending issmall for all the heading angles . ( 3 ) The overall increase to the total bending

moment ( RMS ) from the

**nonlinear**, sum - frequency excitation is under 12 % forall ...

Page 1099

) + Bu + Ht , ( 25 ) 2016 6 , ] + [ 15708 = [ 106 ] ( 33,34 ) 4935 wave y = Cz Das ) ] -

[ nes ) + where f ( z ) is

**Nonlinear**model The**nonlinear**equation of motion can be written as ż = Az + f ( 2) + Bu + Ht , ( 25 ) 2016 6 , ] + [ 15708 = [ 106 ] ( 33,34 ) 4935 wave y = Cz Das ) ] -

[ nes ) + where f ( z ) is

**nonlinear**part 0 0 f ( 2 ) = ( 26 ) -M - K ( x ) – M - ' D ( x ) ...Page 1100

Control gains for extreme sea ( Initial J = 4.14e + 7 )

Final J CL control - 3.58e + 5 - 2.04e + 6 N / A 3.06e + 6 OCL control - 6.57e + 5 -

7.92e + 5 -0.7257 3.80e + 5 of Riccati solution ( Tables 6 ) . In addition ...

Control gains for extreme sea ( Initial J = 4.14e + 7 )

**Nonlinear**G ( 1,1 ) G ( 1,2 ) LFinal J CL control - 3.58e + 5 - 2.04e + 6 N / A 3.06e + 6 OCL control - 6.57e + 5 -

7.92e + 5 -0.7257 3.80e + 5 of Riccati solution ( Tables 6 ) . In addition ...

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added amplitude analysis angle applied approach ASME barge bending body boundary cable calculated coefficients combined component computed connection considered Copyright corresponding damage damping deck depth determined developed diffraction direction displacement dynamic effect element Engineering equation factor fatigue field Figure floating force FPSO free surface frequency function given heading heave height horizontal hull iceberg impact increase installation integration interaction International jacket joint length limit linear load mass maximum mean measured Mechanics method model tests mooring mooring lines motion natural nonlinear numerical obtained Offshore operation parameters performed period pile platform position possible potential predicted presented pressure problem range response riser ship shown shows simulation solution Spar stiffness stress structure surface Table tank tension tests values velocity vertical vessel wave wind