简介：Theextendingofacantileverandtransversemovingofadrillingfloorenablethejack-uptooperateinseveralwellpositionsaftertheJack-uphaspitched.Thecantileverallowableloadnephogramisthecriticalreferencewhichcanevaluatethejack-up’sdrillingability,designthecantileverstructureandinstructajack-upmanagertomaketheoperationssafe.Theintentofthispaperistoexploretheinterrelationshipsbetweenthecantileverposition,drillingfloorandtheloadsincludingwindforce,thestandset-backweightetc.,throughanalyzingthestructureandloadcharacteristicsofthex-typecantileverandthesimplifiedmechanicsmodelwiththerestrictionofthemaximummomentcapacityofthecantileversinglesidebeam.Referringtoseveraltypicalpositiondesignsloadvalues,thecantileverallowableloadnephogramisobtainedbyusingthesuitableinterpolationmethod.Thepapergivesamethodforcantileverallowableloaddesign,whichisprovedreliableandeffectivebythecalculationexample.

简介：Acomplianttowerismodeledasapartiallydry,partiallytapered,dampedTimoshenkobeamwiththesuperstructuremodeledasaneccentrictipmass,andanon-classicaldampedboundaryatthebase.Thefoundationismodeledasacombinationofalinearspringandatorsionalspring,alongwithparallellinearandtorsionaldampers(Kelvin-Voigtmodel).Thesuperstructureaddstothekineticenergyofthesystemwithoutaffectingthepotentialenergy,therebyreducingthenaturalfrequencies.Theweightofthesuperstructureactsasanaxialcompressiveloadonthebeam,reducingitsnaturalfrequenciesfurther.Theemptyspacefactorduetothetruss-typestructureofthetowerisincluded.Theeffectofsheardeformationandrotaryinertiaareincludedinthevibrationanalysis;withthenon-uniformbeammode-shapesbeingaweightedsumoftheuniformbeammode-shapessatisfyingtheendcondition.TheweightsareevaluatedbytheRayleigh-Ritz(RR)method,andverifiedusingfiniteelementmethod(FEM).Theweightofthesuperstructureactsasanaxialcompressiveloadonthebeam.Kelvin-Voigtmodelofstructuraldampingisincluded.Apartofthestructurebeingunderwater,thevirtualaddedinertiaisincludedtocalculatethewetnaturalfrequencies.Aparametricstudyisdoneforvariousmagnitudesoftipmassandvariouslevelsofsubmergence.ThecomputationalefficiencyandaccuracyoftheRayleigh-Ritzmethod,ascomparedtotheFEA,hasbeendemonstrated.Theadvantageofusingclosed-formtrialfunctionsisclearlyseenintheefficacyofcalculatingthevariousenergycomponentsintheRRmethod.