Finite element based form-finding algorithm for tensegrity structures

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1、InternationalJournalofSolidsandStructures46(2009)3235–3240ContentslistsavailableatScienceDirectInternationalJournalofSolidsandStructuresjournalhomepage:www.elsevier.com/locate/ijsolstrFiniteelementbasedform-findingalgorithmfortensegritystructuresab,*M.Pagit

2、z,J.M.MiratsTuraDepartmentofEngineering,UniversityofCambridge,TrumpingtonStreet,CambridgeCB21PZ,UKbInstitutdeRobòticaiInformàticaIndustrial(CSIC-UPC),C/LlorensiArtigas4-6,Barcelona08028,SpainarticleinfoabstractArticlehistory:Thispaperpresentsanovelform-find

3、ingalgorithmfortensegritystructuresthatisbasedonthefiniteReceived31October2008elementmethod.Therequireddatafortheform-findingisthetopologyofthestructure,undeformedReceivedinrevisedform16February2009barlengths,totalcablelength,prestressofcablesandstiffnessofb

4、ars.Theform-findingisdonebymod-Availableonline3May2009ifyingthesinglecablelengthssuchthatthetotalcablelengthispreservedandthepotentialenergyofthesystemisminimized.Two-andthree-dimensionalexamplesarepresentedthatdemonstratetheexcel-Keywords:lentperformanceof

5、theproposedalgorithm.TensegrityÓ2009ElsevierLtd.Allrightsreserved.Form-finding1.Introductionfoundthattheresultingshapeswerenotidenticaltothecorre-spondingpolyhedrasothatitbecamenecessarytodevelopnewAtensegrityisastructurethatmaintainsitsshapebyusingaform-fin

6、dingmethods.Acomprehensivereviewabouttheform-discontinuoussetofcompressiveelements(bars)thatarecon-findingoftensegritiescanbefoundinTibertandPellegrinonectedtoacontinuousnetofprestressedtensileelements(cables),(2003).Existingform-findingalgorithmscanbeclassi

7、fiedintoPugh(1976).Hence,thewordtensegrityisanabbreviationforten-kinematicalandstaticalmethods:sileintegrity,Fuller(1962).AlthoughtensegritieswerefirstcreatedKinematicalmethodsincrease(decrease)thelengthofbarswithintheartcommunity,Snelson(1965),theyhavebeenr

8、apidly(cables)untilamaximum(minimum)isreachedwhilethelengthappliedtootherdisciplinessuchasarchitecture,Hanaor(1992),ofcables(bars)iskeptconstant.Forexample,ConnellyandTerrelandspaceengineering,Tibert(2003).Fi