Motion Calc
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Motion Criteria Roll A n gle 25° Roll period T r 10s Pitch Ang le 15° Pitch period T p 10s Heave h e 0.2 Evaporator Weight and COG Weight of Evaporator W E 4984.5kN Transverse distance form COF to COG y 4.47m Longitudinal distance form COF to COG x 36.175m Verti cal dist a nce fr om COF to C OG z 8.33m Gravity Compon ents of Weight due to Pitch and Roll Ang les For Downward Heave Roll: Vertical V Rpg 1 h e W E cos ( ) 5420. 99 kN Sway SW Rpg 1 h e W E sin ( ) 2527.85 kN Pitch: Vertical V Ppg 1 h e W E cos ( ) 5777.59 kN Surge SU Ppg 1 h e W E sin ( ) 1548.1 kN For Upward Heave Roll: Vertical V Rng 1 h e W E cos ( ) 3613. 99 kN Sway SW Rng 1 h e W E sin ( ) 1685.23 kN Pitch: Vertical V Png 1 h e W E cos ( ) 3851.73 kN Surge SU Png 1 h e W E sin ( ) 1032.07 kN
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motion calculations for modules on barge
Transcript of Motion Calc
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Motion Criteria
Roll Angle ? 25??
Roll period Tr 10s??
Pitch Angle ? 15??
Pitch period Tp 10s??
Heave he 0.2??
Evaporator Weight and COG
Weight of Evaporator WE 4984.5kN??Transverse distance form COF to COG y 4.47m??Longitudinal distance form COF to COG x 36.175m??Vertical distance from COF to COG z 8.33m??
Gravity Components of Weight due to Pitch and Roll AnglesFor Downward Heave
Roll:
Vertical VRpg 1 he?? ? WE? cos ?( )? 5420.99 kN????Sway SWRpg 1 he?? ? WE? sin ?( )? 2527.85 kN????
Pitch:
Vertical VPpg 1 he?? ? WE? cos ?( )? 5777.59 kN????Surge SUPpg 1 he?? ? WE? sin ?( )? 1548.1 kN????
For Upward Heave
Roll:
Vertical VRng 1 he?? ? WE? cos ?( )? 3613.99 kN????Sway SWRng 1 he?? ? WE? sin ?( )? 1685.23 kN????
Pitch:
Vertical VPng 1 he?? ? WE? cos ?( )? 3851.73 kN????Surge SUPng 1 he?? ? WE? sin ?( )? 1032.07 kN????
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Linear Accelerations
Maximum Angular Accelerations
due to Pitch ?p ?2?Tp
???
???
2? 0.1 rad
s2????
due to Roll ?r ?2?Tr
???
???
2? 0.17 rad
s2????
Linear Accelerations
due to Pitch
Vertical aPv ?p x? 0.38 g????
Surge aPsu ?p z? 0.09 g????
due to Roll
Vertical aRv ?r y? 0.08 g????
Sway aRsw ?r z? 0.15 g????
Inertia Forcesdue to Pitch
Vertical VPI aPvWE
g? 1900.37 kN????
Surge SUPI aPsuWE
g? 437.6 kN????
due to Roll
Vertical VRI aRvWE
g? 391.37 kN????
Sway SWRI aRswWE
g? 729.33 kN????
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Load Combinations
1. Positive Roll + Downward Heave
Sway SWRpg SWRI? 3257.18 kN????
Heave VRpg? VRI? WE?? ?? 827.86? kN????
2. Positive Roll + Upward Heave
Sway SWRng SWRI? 2414.56 kN????
Heave VRng? VRI? WE?? ?? 979.14 kN????
3. Negative Roll + Downward Heave
Sway SWRpg? SWRI? 3257.18? kN????
Heave VRpg? VRI?? ?? WE?? ?? 45.12? kN????
4. Negative Roll + Upward Heave
Sway SWRng? SWRI? 2414.56? kN????
Heave VRng? VRI?? ?? WE?? ?? 1761.88 kN????
5. Positive Pitch + Downward Heave
Surge SUPpg? SUPI? 1985.7? kN????
Heave VPpg? VPI? WE?? ?? 2693.46? kN????
6. Positive Pitch + Upward Heave
Surge SUPng SUPI? 1469.66 kN????
Heave VPng? VPI? WE?? ?? 767.59? kN????
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7. Negative Pitch + Downward Heave
Surge SUPpg SUPI? 1985.7 kN????
Heave VPpg? VPI?? ?? WE?? ?? 1107.28 kN????
7. Negative Pitch + Upward Heave
Surge SUPng SUPI? 1469.66 kN????
Heave VPng? VPI?? ?? WE?? ?? 3033.14 kN????
