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1、AdvancesinEngineeringSoftware42(2011)305–315ContentslistsavailableatScienceDirectAdvancesinEngineeringSoftwarejournalhomepage:www.elsevier.com/locate/advengsoftComputermodellingofwirestrandsandropesPartI:Theoryandcomputerimplementationabca,⇑E.Stanova,G.Fedor
2、ko,M.Fabian,S.KmetaFacultyofCivilEngineering,TechnicalUniversityofKosice,Vysokoskolska4,04200Kosice,SlovakRepublicbFacultyofMining,Ecology,ProcessControlandGeotechnology,TechnicalUniversityofKosice,ParkKomenskeho14,04200Kosice,SlovakRepubliccFacultyofMechani
3、calEngineering,TechnicalUniversityofKosice,Letna9,04200Kosice,SlovakRepublicarticleinfoabstractArticlehistory:Inthispaperthemathematicalgeometricmodelsofthesingle-laywirestrandsanddouble-laywireropesReceived17February2011withdefinedinitialparametersarepresent
4、ed.Thepresentgeometricmodelsfullyconsiderthesingle-Accepted18February2011helixconfigurationofindividualwiresinthestrandandthedouble-helixconfigurationofindividualAvailableonline26March2011wireswithinthewoundstrandsoftheropes.Themathematicalrepresentationofthes
5、ingleanddoublehelixesisinformofparametricequationswithvariableinputparameterswhichdeterminethecentrelineKeywords:ofanarbitrarycircularwireoftherighthandlayandlefthandlaystrandsandropesoftheLanglayandSingle-laywirestrandsregularlayconstruction.Theconcreteform
6、softheparametricequationsarederivedandpresented.TheDouble-laywireropesapplicationofthederivedgeometricanalyticalmodelisillustratedbynumericalexamples.TechniquesSingleanddoublehelixesGeometricparametricequationsfortheimplementationofthederivedmathematicalmode
7、lsinCATIAV5softwareandproceduresforComputermodellingthegenerationoftheropemodelarebrieflypresented.CorrectnessofthederivedparametricequationsRopemodelandaperformanceofthegeneratedropemodelarecontrolledbyvisualizations.Theapplicationofthederivedmathematicalmod
8、elandthedevelopmentofafiniteelementmodelforthenumericalsimulationofthemulti-layeredstrandundertensiontestsaretreatedinthesecondpartofthepaper[1].Ó2011ElsevierLtd.Allrightsreserved.1.Introductiong
