树状结构找形分析及工程应用

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-mail]201162610FreiOtto2060。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．StuttgartUniversittStuttgart．VerzweigungenNatürlicheKonstruktionen-LeichtbauinArchitekturundNatur199257-63．2KolodziejczykM．VerzweigungenmitfdeneinigeaspektederformbildungmittelsfadenmodellenR．Vol．4SFB230StuttgartUniversittStuttgart．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