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dc.contributor.advisorFalzarano, Dr. Jeffrey M.en_US
dc.creatorMoideen, Hishamen_US
dc.date.accessioned2012-02-14T22:18:15Zen_US
dc.date.accessioned2012-02-16T16:12:51Z
dc.date.available2012-02-14T22:18:15Zen_US
dc.date.available2012-02-16T16:12:51Z
dc.date.created2010-12en_US
dc.date.issued2012-02-14en_US
dc.date.submittedDecember 2010en_US
dc.identifier.urihttp://hdl.handle.net/1969.1/ETD-TAMU-2010-12-8692en_US
dc.description.abstractThis research was done to develop tools to predict parametric roll motion of ships in regular and irregular sea and provide guidelines to avoid parametric roll during initial design stage. A post Panamax hull form (modified C11 Hull form, Courtesy of MARIN) was used to study parametric roll in ships. The approach of the study has been to simplify the roll equation of motion to a single degree of freedom equation so as to utilize the tools available to analyze the system retaining the non-linear character of the system. The Hill’ equation is used to develop highly accurate stability boundaries in the Ince-Strutt Diagram. The effect of non-linear damping has also been incorporated into the chart for the first time providing a simple method to predict the bounded roll motion amplitude. Floquet theory is also extended to predict parametric roll motion amplitude. Forward speed of the vessel has been treated as a bifurcation parameter and its effects studied both in head and following sea condition. In the second half of the research, parametric roll of the vessel in irregular sea is investigated using the Volterra Quadratic model. GM variation in irregular sea was obtained using transfer functions of the Volterra model. Heave and pitch coupling to roll motion was also studied using this approach. Sensitivity studies of spectral peak period and significant wave height on roll motion amplitude were also carried out. Forward speed effects were also evaluated using the Volterra approach. Based on the study, the Hill’s equation approach was found to give more accurate prediction of parametric roll in regular sea. The boundaries in the stability chart were more accurately defined by the Hill’s equation. The inclusion of non-linear damping in the stability chart gave reasonably accurate bounded motion amplitude prediction. The Volterra approach was found to be a good analytical prediction tool for parametric roll motion in irregular sea. Using the Volterra model, it was found that there is a high probability of parametric roll when the spectral modal period is close to twice the natural period of roll.en_US
dc.format.mimetypeapplication/pdfen_US
dc.language.isoen_USen_US
dc.subjectparametric rollen_US
dc.subjectMathieu's equationen_US
dc.subjectHill's equationen_US
dc.subjectnon-linear dampingen_US
dc.subjectInce-Strutt diagramen_US
dc.subjectVolterra seriesen_US
dc.titlePrediction of Parametric Roll of Ships in Regular and Irregular Seaen_US
dc.typeThesisen
thesis.degree.departmentCivil Engineeringen_US
thesis.degree.disciplineOcean Engineeringen_US
thesis.degree.grantorTexas A&M Universityen_US
thesis.degree.nameMaster of Scienceen_US
thesis.degree.levelMastersen_US
dc.contributor.committeeMemberKim, Dr. Moo H.en_US
dc.contributor.committeeMemberKalmàr-Nagy, Dr.Tamàsen_US
dc.type.genrethesisen_US
dc.type.materialtexten_US


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