. Dynamic response of an ocean construction barge to various sea states. . z L sin art; w - uu cos at (49) B4 Roll Excitation Only two components of the roll excitation will be considered since the dampit ^ excitation is known to be quite small. The effect of head-on waves has been neglected. The only inertial component that will be included is due to the shift of the center of buoyancy from the a ± y direction creating a mo- ment arm for the buoyancy of each section as the wave passes. The hydrostatic component used was derived by Muga . The general expression for beam-on waves is:

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. Dynamic response of an ocean construction barge to various sea states. . z L sin art; w - uu cos at (49) B4 Roll Excitation Only two components of the roll excitation will be considered since the dampit ^ excitation is known to be quite small. The effect of head-on waves has been neglected. The only inertial component that will be included is due to the shift of the center of buoyancy from the a ± y direction creating a mo- ment arm for the buoyancy of each section as the wave passes. The hydrostatic component used was derived by Muga . The general expression for beam-on waves is: _ _ 2 / 2ttH K =-puu a exp - —— YCBSdX + B 12 sin( —=r- - out) dx V2X (50) where: Y is the motion of the center of buoyancy in the y-direction and S is the sectional area under the wave. Integration of equation (50) gives: K - - p uu a exp —NLa^r— *-—sin-=—- B cos-=- ou X JI 2n L2rr J2X J2\ B Jh. _ . nL + tt: ^r~ 2 sin -=- 12 Pit fix 1 sin uut J (51)

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Keywords: ., bookcentury1900, bookcollectionamerican, booksubjectoceanography