剪力墙分析方法的研究

-2-JGJ3-20025.1.4TLSAPSATWEANSYS-3-STUDYOFR.CSHEARWALLBYFINITEELEMENTAbstractThemethodtosolveshearwallstructurebyfiniteelementisacceptedbymoreandmoreengineersonthedesignoftallbuildingstructure,especiallyontheshearwallstructurewithholes.Andtheholeontheshearwallwillcausemagnitudecells,thencalculationtimebecomelongandtheefficencycannotsatifythedesign.Eventheholeisveryneartheboundary,theelementcompartmentalizingwithreasonwillbecomeextraordinarydifficult,whichsometimescausesheavycalculationandbringsondefeat.Shearwallstructureisoneofimportancetallbuildingforms,butthekeyofthecalculationwithreasonisapropermodelofshearwall.Panelisoneofthethreemodelsrecommendedinthenewtechnicalspecificationforconcretestructuresoftallbuilding(5.1.4/JGJ3-2002).TheModifiedquadrangleshearwallelementwasimprovedfromPanelandWallelement.Therectangleplanestresshighexponentialelementcansubstitutetheagglomerateseedframeworkwhenitwasproperlymodifiedandprogrammedinshearwallstructure.Thiselementcanovercometheelementcompartmentalizingdifficultyoftheshearwall.Becausethismodifiedquadrangleelemententirelyaccordwiththetraitofshearwallwithholesandhasfewdegreeoffreedom.Soitsdependabilityishigheratthetimeofadequacyprecision.AmodelaboutthisisprogrammedandcombinedinTLSAP.BycomparingthestaticresponsewithSATWE,andtheseismichistorywithANSYS,itisverifiedthatthismodifiedmethodhasfinedevelopmentfuture,becauseofitsbrifeness,applicationandhighefficencyonthedesignofbuildingstructure.KeyWordsR.Cshearwall,shellelement,wallelement,finiteelement-1-_________________________________________________________-1-11.1()[1][2][3][4][5][6][7]-2-1.21.2.11.2.21.11.1Fig1.1EquivalentTrussElementModel1.2.31984Kabeyasawa[8](Three-vertical-line-elementModelTVLEM)1.2K1K2K3KvKb-3-K2KbKVK3K11.2Fig1.2Three-vertical-line-elementModel1.2.4TVLEMVulcano[9](Multi-component-in-parallelModel)1.3TVLEM1.3Fig1.3Multi-component-in-parallelModel1.2.5[10]LayeredshellElementModel1.4-4-(u)ζξηConcretlayerSmearedsteellayerY(ν)XZ(ω)Shellmid-surface1.4Fig1.4LayeredShellElementModel1.2.6[11]1.11.1Table1.1ComparisonoftheMeritsandDemeritsonShearWallElementModel-5-1.2.7[12][13]1.31.2.TLSAPTLSAP3.ANSYSSATWETLSAPTLSAP-6-22.1TLSAP2.1.1X-Y−=−=−=−=−=−=−=−=−==123213122133121323113223132123321332211,,,,,,11121xxcyybyxyxaxxcyybyxyxaxxcyybyxyxayxyxyxA(2.1)12312311223300010002bbbBbbbAcbcbcb=(2.2)eTTmAKBDBtdxdyBDBtA==⋅⋅∫(2.3)Dt2211(1)EEDEEGµµµµ=−−(2.4)X-Y-7-=yxcbacbacbaALLL121333222111312(2.5)221212221212211223314222BbbbbJccccAbcbcbc=−(2.6)123123123BLLLLLLLLLL=222211313133222223232233111111113232313112122323313440022()()220044()()004422002244(35)(35)()()(3)(3)()()353BbcbcbcbbccbcbcbcbbccbcbcBbcbcbcbcbbccbbccbbccbbccbbc−−−−−−−−−−−−−−−−=−−−−−−+−+−−−−−+−+−−−−+112122323313112125333()3()cbbccbbccbbccbbcc+++−−−−−−−(2.7)212eTTTpBBBJBBBAKTBALDLdLdLBT=∫(2.8)1515eemepKKK×=(2.9)-8-111221221515cccOccKKKKK×=(2.10)2.1.212.1iuiviθλθ∆+∆+∆=∆0(2.11)θ3θ2θiiiνuονuuνθ4θ1ο(a)(b)(a)TheFoursquarePlaneStressElement(b)TheStressElementDisplacementPattern2.1Fig2.1TheAbroadHarmonyPlaneStressElement{}()4,3,2,1,,==∆ivuTiiiiθ(2.12)0UUUUθλ=++(2.13)[]000TUUV=,40010oiiioiiUNOuUVONv===∑(2.14))1)(1(41ηηζζiioiN++=(2.15)-9-iiηζηζUθiθ(1,2,3,4)i=41uiiiviuNUVNθθθθθθ===∑(2.16)()()()()()()[]()()()()()()[]++−+++−−=++−+++−=ζζζηηηηηζζζζζηηηηηζζθθiiiiiiiviiiiiiiuaaaaNbbbbN111181111181322312322312(2.17)iiiiiiiiiixaxaxaηζηζ∑∑∑======413412411414141iiiiiiiiiiybybybηζηζ∑∑∑======413412411414141iiyx,(1,2,3,4)i=λU==21λλλλλλλNOONvuU(2.18)()()2211ηξλ−−=N12λλ[]=ivoiiuoiiNNONONNθθ{}[]{}(){}λδερBBe+=(2.19)1eTKKKKKδδλδλλλδ−=−(2.20)-10-1111TKtBDBJddδδξη−−=∫∫(2.21a)1111TKtBDBJddλδλξη−−=∫∫(2.21b)1111TKtBDBJddλλλλξη−−=∫∫(2.21c)t2TLSAP2.22.2.1PKPMSATWE2.2.24Hermit[14]2.2.3-11-(a)TLSAP(b)SATWE(c)ANSYS2.2Fig2.2ComparisonofShear-wallElementWithHoles[12]2.352.2(a)-12-3214123452.3TLSAPFig2.3Shear-wallElementWithHolesofTLSAP1SSH2BLBR3α=0.8+0.2Min(BL/BR,BR/BL)4β=(S-SH)/S5βαξ=6eeKKξ=2.32.3.11.{}[]{}{}{}[]111222333444,,,,,,,,,,,,,TxyxyTBuvuvuvuvεδεεεγδθθθθ===(2.22)2.4[12]-13-θ3θ2uνθ4θ1ο12342.4Fig2.4TheRotationDisplacementsofMembraneElementwith4Nodes2.XYXY+=000yxxyyxyxyxRREEγεεσσ(2.23)Xααασ+=000000ααββαααγεεσRE(2.24)[][]==xyyxyxTTγεεγεεσσσααββααα,000(2.25)[]2222,cos,sin2222csscTscsccsscsccsααα=−==−−(2.26)(2.26)(2.25)(2.24)-14-[][][]+=00000αααααγεεσσRTTETTxyyxTyx(2.27)−+=−+−−=)2(41)1(0)1(1121212211221222121121221EEEEGRRGEEEEEEµµγεεµµµµτσσ(2.28)XYXyxxytgεεγθ−=−121(2.29)(2.28)θ(2.27)XY(2.28)[][][]+−−=0)1(112122212112RRTTGEEEEEETTxyyxTxyyxθθθγεεµµµµτσσ(2.30)[][][][]()[]{}[]{}{}()+=+=∑∫∫∫∑∫∫∫dvRRBRdvBDDBKshTeshTe(2.31)2.3.21.-15-[15]2.5a[16]