JournalofBuildingStructures3211201111Vol.32No.11Nov.20110201000-6869201111-0162-071211.1500902.100045、。。。———。。。。。TU32AForm-findinganalysisandengineeringapplicationofbranchingstructuresWUYue1ZHANGJianliang2CAOZhenggang11.SchoolofCivilEngineeringHarbinInstituteofTechnologyHarbin150090China2.BeijingInstituteofArchitecturalDesignBeijing100045ChinaAbstractBranchingstructuresareappliedincreasinglyincivilengineeringduetotheirnovelandbeautifulconfigurationsandreasonableforce-bearingcharacteristics.Asacomplexspaceframesystemdeterminationofthepatternofbranchesnamelyform-findinganalysisisanimportantstepinthedesignprocessofbranchingstructures.Inotherwordstherationalityofbranchpatternwillinfluencethemechanicalbehaviorofbranchingstructuresdirectly.Basedontheconceptofform-activestructuresandtheanalysisofthegeometricandmechanicalfeaturesofbranchingstructuresanewform-findingmethodforbranchingstructurewhichwascalledinverse-hangrecursivemethodwasproposed.Theprimaryideaofthismethodcanbeillustratedasfollowfindingtheload-bearingcentersofthebranchroofsateachlevelthenletbranchesofeachlevelpointtotheircorrespondingcenterstogeneratethegeometricformofbranchingstructuresprogressively.Accordingtothisideatheimplementingprocedureandsomeproblemsthatdeserveattentionwerediscussedindetails.Atlasttheinverse-hangrecursivemethodwasappliedintheform-findinganalysisofapracticalbranchingstructure.Itcanbeseenthatallthemembersofbranchingstructureswhicharegeneratedbytheproposedmethodwillonlybearaxialforceslikeform-activestructuresmoreovertheproposedmethodiseasytocarryoutandhasmorepracticabilitythanpreviousmethods.Keywordsbranchingstructurestructuralmorphologyform-findingreversehangingmethodform-activestructure1972—。E-mailwuyue_2000@163.com201162610FreiOtto2060。1。、。Stuttgart2、Stansted、Detroit、Bonn。、3。1Fig.1Sometypicalformsofcolumn2Fig.2StuttgartAirportGermany3Fig.3NewChangshaTrainStation。、。Neureither14a。Kolodziejczyk24b。34c。。4Fig.4Sometypicalformfindingmethodsofbranchingstructures。vonBuelow3。Hunt44d361。。。1、5。、。5。、。。5Fig.5Geometriccompositionofbranchingstructure6。。。6Fig.6Loadingpathofbranchingstructure22.1GaudiIsler6。。、。。180°。7Isler7。ab7IslerFig.7ShellbyIsleranditsphysicalmodel。6180°8a461。12、8b12。。。8Fig.8Reversehangingmodel2.2。。。O9a。OO'9b。45°。、。9cA、B、C、D9d。9e9f。9g9h。99Fig.9Processofreversehangingrecursivemethod。18m0.2kN/m2。ANSYSLINK8BEAM44。101.163N·m。2.31。。830°~60°。。2。。。561aNbN·m10Fig.10Stresscontourofbranchingstructure3。。。。33.1511a5。K8PTFE。318m24m18m32411.6m15.6m12.4m158.4m12.4m8.8m。3.25。。ab11Fig.11Atoll-stationgate。3。5m36.0m、8.0m、10.0m11.5m8。。123。。A、B、C、D12a。A、BC、D6.0mA8.0mB10.0mC11.5mD。12b。AA1、A2、A3。。。12c3。135。3.33ANSYS。1000×20661abc123Fig.12Reticulatedshelldivisionsontopofthe3rdtree13Fig.13Perspectiveviewofstructure500×18180×8159×5。“1.2+1.4”14。。。aNbN·m143Fig.14Stresscontourofthe3rdtree41。———。、。2。1NeureitherM.RechnerischegenerierungvonbaumstrukturenR.Vol.4SFB230.StuttgartUniversittStuttgart.VerzweigungenNatürlicheKonstruktionen-LeichtbauinArchitekturundNatur199257-63.2KolodziejczykM.VerzweigungenmitfdeneinigeaspektederformbildungmittelsfadenmodellenR.Vol.4SFB230StuttgartUniversittStuttgart.VerzweigungenNatürlicheKonstruktionen-LeichtbauinArchitekturundNatur1992101-126.3vonBuelowP.AgeometriccomparisonofbranchingstructuresintensionandcompressionversusminimalpathsC//IASS2007.VeniceItalyUniversityIUAVofVenice2007252.7614HuntJHaaseWSobekW.AdesigntoolforspatialtreestructuresJ.JournaloftheInternationalAssociationforShellandSpatialStructures20095013-10.5.J.20102531-4.ChenJunZhangQilinXieBuying.Researchandapplicationofdendriticcolumninlong-sapnspatialstructureJ.SteelConstruction20102531-4.inChinese6.J.20086527-30.YUANZhongwei.Form-findingstudyfromgauditoArataIsozakionreasonableformofexplorationJ.TheArchitect20086527-30.inChinese7MotroROlivaJGS.WhoisthedesignerJ.JournaloftheInternationalAssociationforShellandSpatialStructures2010513207-216.8GB50017—2003S.2003.GB50017—2003CodefordesignofsteelstructuresS.BeijingChinaPlanningPress2003.inChinese861