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1、InternationalJournalofMechanicalSciences42(2000)63}86Aconcise"niteelementmodelforthree-layeredstraightwireropestrandW.G.Jiang!,*,J.L.Henshall!,J.M.Walton"!DepartmentofMechanicalEngineering,BrunelUniversity,Uxbridge,Middlesex,UB83PH,UK"Bridonplc,Doncaster,DN48DG,UKReceived14May1998;receivedinrevis
2、edform12October1998AbstractAconcise"niteelementmodel(FEM)ofthree-layeredstraighthelicalwireropestrandunderaxialloads(tensileandtorsional)ispresentedinthispaper.Three-dimensionalsolidelementswereusedforstructuraldiscretization.Thehelicalsymmetryofthestrandwasusedtoestablishaccurateboundaryconditio
3、ns.Contact,frictionandplasticyieldingwerealsotakenintoaccount.Fortheglobalbehaviourofwireropestrand,i.e.loadvs.strainandloadvs.torque("xed-end)orloadvs.strandtwistrate(free-end),the"niteelementresultsshowedbetteragreementwiththeexperimentalresultsofUttingandJones(JournalofStrainAnalysisforEnginee
4、ringDesign1988;23(2):79}86)thanthosecalculatedusingtheanalyticalstrandmodelofCostello(TheoryofWireRope,2nded.NewYork:Springer,1997).Inaddition,theFEmodelallowsthelocalisedstressdistributiontobedetermined.Inparticular,thismodelrevealsthenon-uniformstressdistributionintheouterlayerhelicalwirescause
5、dbythetrellispointcontact.Thisisparticularlyrelevantinthe"xed-endcase,wherethepresentanalysispredictsanaxialtensilerigidityingoodagreementwiththeexperimentalobservations(UttingandJones),whereasCostello'smodelpredictsasigni"cantlyhigherrigidity.(1999ElsevierScienceLtd.Allrightsreserved.Keywords:Wi
6、rerope;Strand;Contactstress;Helicalsymmetry;FiniteelementmodelNotationAareaofcross-sectionofwire"nR2EYoung'smodulusFaxialforceonthestrandGshearmodulus*Correspondingauthor.Tel.:#441895274000ext.2748;fax:#441895256392;e-mail:wen-guang.jiang@brunel.ac.uk.0020-7403/00/$-seefrontmatter(1999ElsevierSci
7、enceLtd.Allrightsreserved.PII:S0020-7403(98)00111-864W.G.Jiangetal./InternationalJournalofMechanicalSciences42(2000)63}86G@bendingmomentcomponentaboutbinormalaxesHtwistingmomentaboutaxisofhelicalwireImomentofinertiaofh
