Analytical procedure for modelling recursively and wire by wire

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1、InternationalJournalofSolidsandStructures45(2008)5503–5520ContentslistsavailableatScienceDirectInternationalJournalofSolidsandStructuresjournalhomepage:www.elsevier.com/locate/ijsolstrAnalyticalprocedureformodellingrecursivelyandwirebywireqstrandedropessubjectedtotractionandtorsion

2、loadsH.Usabiaga*,J.M.PagaldayIkerlanKoopJoseMaria,ArizmendiarretaPasealekua,2,Arrasate,Gipuzkoa,SpainarticleinfoabstractArticlehistory:TheaimofthisarticleistointroduceanewtheoreticalprocedureformodellingwireropesReceived16January2008subjectedsimultaneouslytotensileandtorsionalloads

3、.TheprocedureisbasedupontheReceivedinrevisedform25March2008beamassumptionandtakesaccountwirebywireofthedoublehelicalwiresonthebasisAvailableonline26April2008ofgeneralthinrodtheorydevelopedby[Love,A.,1944.MathematicalTheoryofElasticity.DoverPublications,NewYork].Theproposedkinematic

4、sarebasedontheassumptionthatwiresareun-lubricatedandthereforethatnorelativeslidingbetweenadjacentwiresKeywords:happens.WireropeÓ2008ElsevierLtd.Allrightsreserved.StrandedropeWiresStressStrainGeneralthinrodtheoryResistanceofmaterials1.IntroductionTensionresistingelementslikewirerope

5、sareverycriticalelementsincountlessapplicationsrangingfromliftingtocivilworkamongothers.Themainadvantageofthewireropeliesinitscapacitytosupportlargetensileforceswithcompara-tivelysmallbendingandtorsionalstiffness.Thispropertybecomesparticularlyusefulforeasingthestoringandtranspor-t

6、ationofropesanditisindispensableinapplicationslikeliftingorminingwherelargelytensionedelementshavetobebentrespectivelyoversheavesordrums.Thesourceofsuchapeculiarmechanicalpropertyoftheropehastobefoundinthelocalrelativemovementsbetweenadjacentwiresoftheropewhenthelatterissubjectedto

7、tensileandbendingand/ortorsion.Becauseofitscriticality,someapplicationsdoveryoftenrequireaquantitativeevaluationoftherelevantmechanicalparametersoftheirwirerope.Empiricalrulesbaseduponanextensivenumberofexperimentaltestshavebeenconductedinparticularapplicationstopredictthemechanica

8、lresponseoftherope.However