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amplitude analysis applied approach ASME barge caisson calculated coefficients 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 excitation experimental factor fatigue field Figure flow fluid force FPSO frequency function given heave height higher increase installation International jacket kips length limit linear load longitudinal lower maximum mean measured Mechanics method mode mooring motion nonlinear obtained Offshore operation parameters peak performed period pipe platform position predicted presented pressure probability problem production random range ratio relative represent respectively response riser roll shown shows simulation soil solution spudcan steel stiffness stress structure surface Table tension term transverse values vertical vessel vibration wave