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amplitude analysis applied approach ASME barge caisson calculated coefficient compared comparison computational configuration considered Copyright corresponding coupled cylinder damage damping deck depth determined developed diameter direction displacement distribution domain draft drag dynamic effect element Engineering equation experimental fatigue field Figure flow fluid force frequency function given Guide heave height higher hydrodynamic increase installation International jacket kips length limit linear load lower maximum mean measured Mechanics method mode mooring motion noise nonlinear obtained Offshore operation parameters peak performed period pipe platform position Predicted presented pressure probability production random range ratio relative represent respectively response riser roll shown shows simulation soil solution spudcan steel stress structure surface Table tension term transverse upper values velocity vertical vessel vibration wave