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1、OrigamiModelingofFunctionalStructuresbasedonOrganicPatternsTaketoshiNojimaDept.ofEngineeringScience,GraduateSchoolofKyotoUniversity,Sakyo-ku,Kyoto,Japan606-8501,nojima@kuaero.kyoto-u.ac.jpShape-changeableorigamimodelsandrigidcoremodelsareanalyticallydesignedbyfoldingorcreas
2、ingaflatsheetorathinplateintoa3-dimentionalshape.Theformermodelsaredesignedbyanalyzingandmimickingthehelicalpatternsorstructuresoftenfoundinlivingorganisms,becausesuchhelicalstructuresareeasilydeployedduetothepresenceoffewerdynamicrestraints.Modelspresentedhereincludefoldab
3、le/deployablethincylinders,conical-shapedmembranes,circularsheetswhichmaybefoldedorwrapped,foldable3-Dstructuressuchasellipticalorsphericalshell,andatwistedtubeandcone.Someofthesemodelsareusedtointerpretthemechanicsoftheunfoldingofflowerbudsandinsectwings.Ultra-lightweight3
4、-Dcoremodelsmimickingabeehive’shoneycombstructureandspongetypecorearealsopresentedforuseinbuildingaerospacestructures.1.IntroductionInanattempttoestablishfuturelow-costdeployableaerospacestructures,inflatabletechniques１forerectingthesestructuresweretestedbySpartan207satelli
5、tein1996.Inthefuture,launchingsoflightsailsconsistingofahugemembraneareplanned.Tostowsuchlargestructuresefficientlyinrockets,thedevelopmentoffolding/deployingtechniquesandultra-lightweightstructuresareofprimeimportance.Analyticalorigamimodelingmayprovideapowerfultooltosatis
6、fythesedemands.Inthephyllotaxisofleavesorflowers,andinsomeflowerbudsandinsectwings,helicalpatternsoftenappear.ItiswellknownthatDNAandproteinssuchascollagenconsistofhelicalstructureswhichincorporateingeniousfoldingmechanism.Thesehelical-typestructuresmayrelatetochangesuchasd
7、eformation,growthorevolution.Byanalyzingthesehelicalpatterns,easilydeployable２）structurescanbedeveloped.However,thistypeofanalyticalworkisasyetinitsinfancy,andvery３～７）fewanalyticalmodelshavebeenreported.Thisresearchaimstodevelopthefunctionalabilityoforigamistructureswithfol
8、dability/deployabilityandtodeviserigid,lightcoresbymimickingandimprovinguponorgani
