A new expression for the direct calculation of the maximum

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1、ARTICLEINPRESSOceanEngineering34(2007)1706–1710www.elsevier.com/locate/oceanengAnewexpressionforthedirectcalculationofthemaximumwaveforceonverticalcylindersGiuseppeBarbaroDepartmentofMechanicsandMaterials,ViaGraziellaLoc.FeodeVito,89060ReggioCalabria,ItalyReceived19April2006;a

2、ccepted5October2006Availableonline14February2007AbstractHere,aneasyanalyticalsolutionforthedirectcalculationoftheinstantinwhichthemaximumwaveforceonasupportofanoffshoreplatformisrealized,andforthedirectestimationoftheaforementionedmaximumforce.Thesolutionisobtainedthankstoanar

3、tifice.Theinstantisexpressedtmofthemaximumforceaslimitsofasuccessiontm0,tm1,tm2;...;anditisprovedthatincasesofpracticalintereststhesuccessionsconvergeveryquickly:tm¼tm1,lessthannegligibleerrors.Thesolutionallowstheestimateofusefulsynthesistobearrivedatinthepreliminaryphaseofthe

4、project.Infact,itallowsonetoimmediatelyappreciatetheeffectsofvariationsoftheparametersinplay:thesectionsofthecylinder,thedepthoftheseafloorandthecharacteristicsofthewaves.r2007ElsevierLtd.Allrightsreserved.Keywords:Force;Cylinder;Wave1.Introduction5oKEo20wheretheasymptoticvalue

5、sofcinareshowntobelessthan1.85andtheasymptoticvaluesofcdgareTheverticalcylindersintheseatypicallyfunctionasashowntobegreaterthan0.62.support.Itisconcernedwith,inthelargemajorityofcases,Theinstantaneoushorizontalforceonthecylinderiscircular-sectioncylindersthatrepresentthefunda

6、mentalobtainedbytheintegrationoftheunitaryforce(suppliedcomponentsofthesupportstructureofoffshorejettiesorbyMorison’sformula)betweentheseafloorandtheplatformswithareticularstructure.surfaceofthewater(this,naturally,forcylinders,astheyEitherduetothesupportofcylindersortothesuppo

7、rtareingeneralthesupports,whichprotrudefromthe(leg)ofthereticularplatforms,theKeulegan–Carpentersurfaceofthewater).Themaximumofthisforceisrealized(KEÞnumberisusuallygreaterthan2sothattheforaninstantbetweenthezero-upcrossingandthecrestofcalculationoftheforcecanbeundertakenwitht

8、hethewave,thatisinthephaseinwhichthecomponentofformulaofMoris