Motion Calc

Post on 05-Nov-2015

11 views 0 download

description

motion calculations for modules on barge

Transcript of Motion Calc

  • 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????

  • 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????

  • 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????

  • 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????