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1、InternationalJournalofMechanicalSciences41(1999)143Ð161AconciseÞniteelementmodelforsimplestraightwireropestrandW.G.Jiang!,M.S.Yao!,J.M.Walton"!DepartmentofMechanicalEngineering,BrunelUniversity,Uxbridge,Middlesex,UB83PH,U.K."Bridonplc,DoncasterDNA8DG,U.K.Received3November1997;andinrevisedform27
2、March1998AbstractDuetoitscomplexgeometry,awireinaropeissubjectedtothecombinede¤ectsoftension,shear,bending,torsion,contact,frictionandpossiblelocalplasticyieldingwhenloaded.InthispaperanaccurateandgeneralstrandmodelusingtheÞniteelementmethod(FEM)ispresented.Themodeliscapableoftakingintoaccounta
3、lltheabovee¤ectsandhasbeensuccessfullyusedtopredicttheglobalbehaviourofsimplestraightwireropestrandaswellasthestressdistributionwithinthewiresunderaxialloads(tensileandtorsional).InsimplifyingtheÞniteelementmodel,preciseboundaryconditionsweredeveloped.TheÞniteelementanalysisresultsshowedexcelle
4、ntagreementwiththeanalyticaltheoryofCostelloandtheexperimentalresultsofUttingandJones.Byusingthemodeldevelopedinthispaper,localisedhighlynon-linearphenomenasuchascontactstress,residualstress,frictionandplasticdeformationcanbestudiede¤ec-tively.(1998ElsevierScienceLtd.Allrightsreserved.Keywords:
5、wirerope;strand;contactstress;residualstress;ÞniteelementmodelNotationAareaofcross-sectionofhelicalwire("pR2)hAareaofcross-sectionofcentrewire("pR2)ccEYoungÕsmodulusFaxialforceonthestrandGshearmodulusG@bendingmomentcomponentaboutbinormalaxesHtwistingmomentaboutaxisofhelicalwirehstrandlengthImom
6、entofinertiaofhelicalwirecross-section("nR4/4)hJpolarmomentofinertiaofhelicalwirecross-section("nR4/2)hJpolarmomentofinertiaofcentrewirecross-section("nR4/2)ccMtorqueactingonthestrandmnumberofhelicalwires0020-7403/99/$Ðseefrontmatter(1998ElsevierScienceLtd.Allrightsreserved.PII:S0020-7403(98)00
7、039-3144W.G.Jiangetal./InternationalJournalofMechanicalSciences41(1999)143Ð161N@wirebinormalshearingforceonahelicalwireppitchlengthofthestrandr,rNinitialandÞnalhelicalwirehelicalradiir,h,znodalcoordinatesinradial,circumferentialan
