ON THE PROBLEM OF WIRE ROPE MODEL GENERATION WITH AXIAL LOADING

ON THE PROBLEM OF WIRE ROPE MODEL GENERATION WITH AXIAL LOADING

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1、MathematicalandComputationalApplications,Vol.15,No.2,pp.259-268,2010.©AssociationforScientificResearchONTHEPROBLEMOFWIREROPEMODELGENERATIONWITHAXIALLOADING12C.ErdemĐmrakandCengizErdönmez1DepartmentofMechanicalEngineering,IstanbulTechnicalUniversity,34394Gumu

2、ssuyu,Istanbul,Turkey.imrak@itu.edu.tr2InformaticsInstitute,ComputationalScienceandEngineeringProgram,IstanbulTechnicalUniversity,34469Maslak,Istanbul,Turkey.erdonmez@be.itu.edu.tr,Abstract-Independentwireropecore(IWRC)isoneofthefundamentalcomponentsofcomple

3、xwireropes.Itisacomplexgeometryandconstructedbywrappingwirestrandsoverastraightwirestrand.TheouterwiresoftheIWRCaredoublehelicalshapedfeaturewhichcanbeonlymodeledusingspecialtreatment.TheaimsofthispaperaretointroduceanewtechniqueofmodelingwireropewithIWRCand

4、tocomparenumericalresultsobtainedfromthismodelwithavailableresultsintheliterature.Thereforethemodelgenerationforasimplestraightstrandisexplainedandaccuracyofthismodelisvalidated.Furthermorethismodelingprocedureisadaptedtowholewireropestructureconsideringdoub

5、lehelicalgeometryconcept.Theproposedropemodelgivesremarkableresultsbymeansofwirebywireanalysisscheme.Thismodelisfoundeasierandmoreeffective.Theresultsshowgoodagreementwithotheravailableresultsbutwithasimplerandmorepracticalapproach.KeyWords-Independentwirero

6、pecore,doublehelicalgeometry,relativerotation,modelingwirerope1.INTRODUCTIONTheoryofwireropeisbasedontheequilibriumequationsintroducedbytheLoveinawell-knownclassicaltreatise[1].Mostoftheanalyticalstudiesarereliedonthesolutionsoftheequilibriumequationswithout

7、frictionaleffectsduetothedifficultyofthetheory.Eventhegeometryofthewireropehasacomplicatednatureandtheequilibriumequationsbecomenonlinearanditisdifficulttosolvewithoutlinearizationprocessesmostly.Abasicandsimplermodelconsideredforanalyticalapplicationsisasim

8、plestraightstrand.Itiscomposedofastraightwiresurroundedwithsixsinglehelicalwires.Thissimplestraightstrandisusedasacorestrandwhileconstructingcomplicatedwireropes.Anindependentwireropecore(IWRC)i

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