DOC

Tensile

By Christopher Elliott,2014-07-24 03:29
13 views 0
TensileTensil

    Tensile

rprestressedconstructionoftensionstructures

    ;XinZHUO1

    ;,

    ;Guo.faZHANG,KoichiroISHIKAWA2

    ;,

    ;Dao.anLOU3

    ;(DepartmentofCivilEngineering,ZhejiangUniversity,Hangzhou310027,China) ;(eDepartmentofArchitectureandCivilEngineering,FukuiUniversity,Fukui910.8507,Japan)

    ;(SZhejiangZhanchengConstructionGroupCo.,Ltd.,Hangzhou310005,China) ;E-mail:zhuoxin@zju.edu.cn

    ;ReceivedNov.27,2007;revisionacceptedJune2,2008

    ;1201

    ;嚣磐

    ;Abstract:Factorssuchaserrorsduringthefabricationorconstructionofstructuralcomponentsanderrorsofcalculationas.

    ;sumptlonorcalculationmethods,areverylikelytocauseseriousdeviationofmanystrings’actualprestressingforcesfromthe

    ;designedvaluesduringtensionstructureconstructionorserviceperiod,andfurthertothreatenthesafetyandreliabilityofthe

    ;structure.Aimingatrelativelylargeerrorsoftheprestressingforceofstringsinatensionstructureconstructionorserviceperiod,

    ;thispaperproposesanewfiniteelementmethod(FEM),the”tensileforcecorrectioncalculationmethod”.Basedonthemeasured

    ;prestressingforcesofthestrings.thisnewmethodappliesthestructurefromthezeroprestressingforcestatusapproachtothe

    ;measuredprestressingforcestatusforthefirstphase,andfromthemeasuredprestressingforcestatusapproachtothedesigned

    ;prestressingforcestatusforthesecondphase.Theconstructiontensileforcecorrectionvalueforeachstringcanbeobtainedby

    ;multi—iterationwithFEM.Usingtheresultsofcalculation,thestrings’tensileforcecorrectionbygroupandinbatchwillbe

    ;methodic,simpleandaccurate.Thisnewcalculationmethodcanbeappliedtotheprestressedcorrectionconstructionsimulation

    ;analysisfortensionstructures.

    ;Keywords:Tensionstructures,Prestressedconstruction,Highprecision ;doi:10.1631/jzus.A0720090Documentcode:ACLCnumber:TU3;TU7

    ;INTRODUCTION

    ;Tensionstructures.suchasprestressedspatia1

;gridstructuresandsuspend.dome.etccombinethe

    ;rigidbeamsorrodswiththeflexiblestrings.The ;structuralefficienciesofsuchnewtypesofstructural ;systemsareenhancedbecausethestructuralrigidityis ;increasedandthedistributionofforcesinthewhole ;structureisimprovedbythestring’sprestressing

    ;force.Scholarshavestudiedtheanalysistheoriesand ;calculationmethodsforthisstructuresystem(Saiton ;Pf,.,1993;Kawaguchieta1.1993;ChenandLi, ;2005;Zhangeta1.,2004;2005).However,there

    ;searchtopicsconcerningthemechanicsanalysisin ;thecourseofconstructionwerejustbegunafewyears ;Project(No.50678157)supportedbytheNationalNaturalScience ;FoundationofChina

    ;ago.Somestudiesputemphasisoninvestigationof ;experiments(Tagawaeta1.,1994;Yamagataeta1., ;l994;KawaguchiandAbe,l999;Miyasatoeta1., ;1999).SomestudiesfoCUSontheanalysistheories ;andthecalculationmethods(Saitoneta1..2001: ;Dongeta1.,2003:ZhuoandIshikawa,2004;Zhuo ;andYuan,2004;Zhuoeta1.,2004;LuandShen, ;2005).Thekeyforconstructingtensionstructuresis ;theprestressedconstructionofmanystrings.Itis ;unabletocalculateaccuratelythestring’sprestressing

    ;forceoftensionstructuresinthestructuraldesignor ;constructionsimulationanalysis,becausesuch ;non.idealfactorsastheerrorsofcalculationassump

    ;tionorcalculationmethods.theerrorsoffabrication ;orconstructionofstructuralcomponents,theeffects ;ofconstructionortemperatureloads,andtheeffects ;Ofthematerialdeformationorfrictionofstructural ;components,etc.,areunavoidable.Thesenonideal

    ;

    ;1202Zhuootal/JZh~iangUnivSciA20089(9):12011207

    ;factorsareverylikelytocausetheactualprestressing ;forcesofmanystringsdeviatingseriouslyfromthe ;designedvaluesduringatensionstructureconstruc- ;tioncourseorserviceperiod,andthusthesafetyand ;reliabilityofthestructurewouldbethreaten.Inorder ;toachievehighprecisioncontroloftheprestressing ;forcesofthetensionstructure,theworkofconstruc- ;tioncorrectionisabsolutelynecessary.

    ;Themechanicsanalysisoftensionstructuresin ;thecourseofconstructionhasbeenahotresearch

    ;topicinrecentyears.Researchhasbasicallysolved ;theissueofmechanicsanalysisandcalculation ;methodoftensionstructuresinthecourseofintro. ;ducinginitialprestressingforcesconstructionfSaiton ;Pfal.,200l;Dongelal.,2003;ZhuoandIshikawa, ;2004;ZhuoandYuan,2004;Zhuoela1.,2004;Luand ;Shen.2005).butnottheissueofanalysisandcalcu. ;1ationmethodofhighprecisioncontrollingof ;prestressingforcesfortensionstructuresbasedon ;measureddataduringconstructionorserviceperiod. ;Aimingatthetensionstructureswithbigerrorsin ;prestressingtorceduringconstructionorservicepe. ;riod,anewcalculationmethod,so.called”tensile

    ;forcecorrectioncalculationmethod”.isputforward

    ;inthispaper.Basedonthevaluesofthestrings’

    ;measuredprestressingforces,thetensileforcecor. ;rectionvalue,whichmeansthestring’stensileforce

    ;controlvaluesinactualconstructioncorrectionof ;eachstring,canbeobtainedbythiscalculation ;method.Thecalculationresultsshowedthatthe ;string’stensileforcecorrectionconstructionworkby

    ;groupandinbatchismethodic.simpleandaccurate. ;PRINCIPLE0FTENSILEF0RCEC0RRECT10N

    ;CALCULAT10NMETH0D

    ;Manystrings’measuredprestressingforcesina

    ;tensionstructurehavelargeerrors.andshouldbe ;carriedoutbygroupandinbatchconstructioncor- ;rectionmethod.Here,thegroup,asaspaceparameter, ;reterstosomestringstensionedatthesametime,and ;thebatch,asatimeparameter,referstothesequence ;olthestringstensioned.Thegroupsandthebatches ;shouldbedecidedonthedistributionofthestringsin ;thestructureandtheactualconstructionconditions. ;1neprestressedconstructioncorrectionanalysis ;isdividedintotwophases.Inthefirstphase,the ;analysisisstartedatthe”zeroprestressingforce

    ;status”ofthestructure.andendedatthe”measured

    ;prestressingforcestatus’’ofthestructurewith

    ;prestressingforceerrors.Thesubsistenttensileforce ;calculationvaluesofeachstringareforcedtomeet ;themeasuredvaluesthroughstructuralfiniteelement ;analysis.Inthesecondphase,thestartingpointof ;analysisisthe”measuredprestressingforcestatus”.

    ;andtheendingpointistheideal”designed

;prestressingforcestatus”ofthestructure.Theerror

    ;statuscontinuouslyapproachesandfinallyreaches ;theidealstatusthroughstructuralanalysisandcal- ;culation,sotheconstructiontensioncorrectionvalues ;ofeachstringcouldbeobtained.

    ;Thetraditionalconceptofprestressingforce ;shouldbechangedandfractionized,becausethe ;constructioncorrectionofstring’sprestressingforces

    ;inatensionstructureincludesthefactorsoftimeand ;space.Assumengroupsofstringsinatensionstruc. ;turetensionedinnbatches.Theparametersarede. ;finedasfollows:fl1constructioncontroltensileforce ;()lheprestressingforceconstructioncontrol- ;lingvalueoftheithstringinthejthbatchtensioning ;construction;(2)subsistenttensileforce(,m)I

    ;theprestressingforcevalueoftheithstringinthejth ;batchtensioningconstruction;(3)targettensileforce ;P()inthefirstanalysisphase,itistheprestressing ;forcemeasuredvalueoftheithstringafterthestruc. ;tureconstructioncompletedorintheserviceperiod; ;inthesecondanalysisphase,itistheprestressing ;forcevalueoftheithstringwhichshouldmeet,i…e

    ;theprestressingforcedesignvalueofthestring. ;Wheremisthestepofanalysisphase,=l,2:kisthe ;stepofiteration,k=-l,2,3,…;freferstotheithstring,

    ;f=l,2,3….,n;jisthetensionconstructionsequence

    ;number,J=l,2,3….,n.

    ;Thetensileforcecorrectioncalculationusesthe ;iterationapproximationmethods.Thesecondphase ;analysisiscarriedoutafterthefirstphase.Theca1. ;culationprinciplesandmethodsofthetwoanalysis ;phasesarebasicallythesame.Theanalysismethods ;andthecalculationprocedurescouldbesummarized ;asfollows:

    ;(1)Forthefirstiteration.thestructuralgeomet. ;ricalnonlinearfiniteelementmethod(FEM1analysis ;isperformedintermsoftheconstructiontensioning ;sequence.Whencalculatingthestringsofthe,th ;groupinthebatchoftensioning

    ;,theconstructiOn

    ;

    ;Zhuoota1./JZhejiangUnivSciA200899):12011207

    ;controltensileforcesofstringsareforcedtobeequal ;tothetargettensileforces,i.e.,(1,)=Pi(m),and

    ;thesubsistenttensileforces(1,m)ofotherstrings ;whichhavebeentensionedinstructurearecalculated ;atthesametime.Allofthesubsistenttensileforcesof ;eachbatchofstringshavechangedexceptthatofthe ;lastbatchstringswhencalculatingthenthgroupof ;thelastbatchofthestrings.Thevalueoftensionforce ;changeofeachgroupofstringsis?(2,)=(1,)

    ;(1,).

    ;(2)Fortheseconditeration,theconstruction ;controltensileforcevalueofeachgroupofstringsin ;thefirstiterationismodifiedbycompensatingthe ;valueoftensionchange.Theconstructioncontrol ;tensileforceofthestringsintheseconditerationis ;(2,)=(1,)+A(2,).

    ;Theconstructioncontroltensileforcesofthe ;stringsareforcedtoequalto(2,m)andthesubsis

    ;tenttensileforcesofotherstringstensionedinstruc

    ;ture(2,m)arecalculatedatthesametime.After ;calculatingthenthgroupofthelastbatchofthe ;strings,thetensileforcechangeofeachgroupof ;stringsisA(3,)=(2,)(2,).

    ;Theresultsofiterationsk=3,4….canbeob—

    ;tainedintermsofthesameprinciple.

    ;(3)Attheendofthekthiteration,ifPi(m)

    ;Yi)?,i…ethedifferencebetweentheactual

    ;valueandthedesignedvalueofthestring’stensile

    ;forceislessthanacertainvalue.theiterationcouldbe ;terminated.Theflowchartofcalculationmethodis ;showninFig.1.

    ;Theresultsofthekthiterationinthefirstanaly

    ;sisphasearelistedinTable1.Thesubsistenttensile ;forcesofthelastrow,F1”(1),”1),

    ;(1),…,(1),equalthemeasuredtension

    ;valuesofeachstring,PI(1),P2(1)….,(1)….,(1).

    ;Theresultsofthekthiterationinthesecond ;analysisphasearelistedinTable2.Theresultsonthe ;diagonals,(2),T2(,2),…,(,2),…,”(2),

    ;aretheconstructioncontroltensileforcevaluesofthe ;stringsofgroupsl,2,…,n.Thesevaluesarethe

    ;constructiontensioncorrectionvaluesofactualcon

    ;structioncorrectiontensioningbygroupandinbatch, ;whicharethemajorresultsthatthenewcalculation ;methodinthispaperseeksfor.Thelastrow,F1”(2),

    ;F2”(,2)….,(,2)….,(,2),presentsthefinal

    ;subsistenttensileforcevaluesofthestringswhichare ;equaltotheirdesignedtensionvalues,Pl(2),P2(2)….,

    ;Pf(2),…,P”(2),respectively,withtheconstruction

    ;1203

    ;correctiontensioningmethodbygroupandinbatch. ;Thisisthefinaltargetofthecalculationmethodin ;thispaperaswellasthehighprecisioncontrolof ;prestressedconstructionfortensionstructures. ;Fig.1Flowchartoftensileforcecorrectioncalculation ;method

    ;Table1Resultsofthefirstanalysisphase

    ;Table2Resultsofthesecondanalysisphase ;

    ;1204Zhuoetal/dZhejiangUnivSciA20089(~.12011207

    ;ILLUSTRATIVEEXAMPLEANDDISCUSSIONS

    ;Overviewoftheproject

    ;Aprestressedspatialgridstructureprojectwith ;27mspan,24mlengthand24mheightisshownin ;Fig.2.Thedistancestothefirstquarterplaneandthe ;lastquarterplaneareboth2m.Thenodesareofbolt ;sphericalnodetype.Therodsaretwotypesofsteel ;tubeswith216.3mmx7.0mmandll4.3mmx6.0mm ;circularhollowsections(CHSs),andtheYoung’s

    ;modulusofthesteelwas200GPa.Wallstringsof ;groups1-6withmaximumprestressingforceof500 ;kN,symmetricallydistributedattwosidesofthe ;structure,aretopotentiatethesidewallsofthespatial ;gridstructure.Stringsconnectedtothelowernodeof ;thegridstructurearefortensioninginconstruction. ;Roofstringsofgroups712withmaximum

    ;prestressingforceof650kN,aretoreinforcethetop ;ofthestructure.Thestring’sgroupnumbersare

    ;showninFig.2a.

    ;ARertheintemalforcetestsofthestructure ;carriedouttheprestressedconstruction,largeerrors ;betweentheactualprestressingforcesandthede

    ;signedvalueswerefoundinmanystrings.andcon. ;structioncorrectionontheprestressingforcesofthe ;stringsshouldbecarriedout.TheactualvaluesP(11 ;andthedesignedPi(2)valuesoftheprestressing ;fcIrcesofactivewallstringsandroofstringsare ;showninTable3.

    ;Analysisofcalculationresults

    ;Whenapplyingthetensioningconstructioncor

    ;rectionmethodbygroupandinbatch,thetensioning ;sequencenumberwassetthesameasthestringgroup ;number.Twosymmetricalwallstringsconstitutedone ;groupandweretensionedinsequencefrom1to6. ;androofstringsweretensionedinsequencefrom7to ;12.Theconstructionsimulationanalysisofthe ;structureappliedthetensileforcecorrectioncalcula. ;tionmethodsubmittedinthispaper,andfouritera. ;tionsweredoneintermsofthecalculationprocedure ;andformulaeofthefirstandthesecondanalysis ;phases.Duetothelimitedspaceofthispaper,onlythe ;strings’calculationresultsoffouriterationsinthefirst ;andsecondanalysisphaseswerelistedinTable4and ;Table5,respectively,showingthat:

    ;(1)Attheendofthefirstanalysisphase.the ;calculationvaluesofprestressingforcesofallstrings ;inTable4havemettheirmeasuredvaluesinthe ;fa1

    ;Fig.2Structuralsketchandstring.(a)Perspective ;view;(b)Frontview

    ;iP1)(kN)P2)(kN)iPi(1)(kN)Pi(2)(kN)

    ;1123.003007323.00450

    ;2209.263008209.26450

    ;3325.673009425.67450

    ;4340.5830010409.58450

    ;5292.5030011492.50450

    ;6243.0030012343.00450

    ;Note:iisthestring’snumber;Pf(1)isthemeasuredvalueofthe

    ;prestressingforceofthefthstringafterthestructureconstructionis

    ;completedorintheserviceperiod;2)isthedesignvalueofthe ;prestressingforceofthefthstring.

    ;structurestatuswiththeprestressingforceerrors.And, ;attheendofthesecondanalysisphase,thecalculation ;valuesofprestressingforcesofallstringsinTable5 ;havemettheirdesignedvaluesintheidealstructure ;statuswithoutanyerrors.

    ;f21Theinitialsubsistenttensileforcesofall ;stringslistedinTable3,123.00,209.26,325.67, ;340.58,292.50,243.00,323.00.209.26,425.67, ;409.58,492.50,343.00kN,arethemeasuredtensions ;inTable4whenkis4.Thesubsistenttensileforcesof ;allstringsmeettheirtargettensileforcesafteranaly. ;sisandcalculationbyapplyingthecalculation ;methoddescribedinthisPaDer.Accordingtothese

;quencefrom1to12whichisidenticaltothecalcula.

    ;tlon,applyingthecalculationresultsof

    ;

    ;Zhuoeta1./JZhejiangUnNSciA20089(9):1201?1207

    ;Table4Calculationresultsinthefirstanalysisphase ;kjString’stension(kN)

    ;i=12345678910l1

    ;112:QQ

    ;2l10.15209.26

    ;3103.07200.40325.67

    ;499.41194.423l1.29409.58

    ;5102.80195.46306.67401.11292.50

    ;6108.05198.06304.09395.44277.16243.00

    ;7127.58214.183l1.01398.51274.01236.31323.00

    ;8138.28218.75315.96401.66273.76234.27301.62209.26 ;9146.19227.09322.76410.33279.99239.17288.85189.67425.67 ;10148.99231.86330.71416.93288.93248.66285.06180.42401.72409.58 ;l1143.38230.74338.28429_32301.84276.64295.60184.62388.73384_30492.50 ;12137.58227.95341.00435.60317.41294.57305.95190.96384.56373.12457.17343.0

    0

    ;1108.42

    ;296.72190.57

    ;389.97182.13310.34

    ;486.55176.53296.86383.56

    ;589.64l77.48292.59375.81267.59

    ;693.78179.53290.59371.33255.48191.43

    ;.7114.34196.50297.88374.57252.16184_39340.05

    ;8126.00201.47303.27378.00251.89182.17316.80227.56 ;9134.67210.63310.73387.51258.72187.53302.80206.09466.78 ;10137.73215.83319_38394.69268.46197.87298.66196.01440.72446.04 ;l1131.72214.63327.50407.96282.28227.84309.96200.51426.79418.96527.83 ;12125.922l1.84330.22414.23297.83245.71320.29206.82422.63407.79492.56343.00

    ;11Q:1

    ;293.95188.00

    ;387_30179.68305.78

    ;483.92174.14292.47378.90

    ;586.96175.07288.28371.31262.24

    ;691.04177.09286.31366.89250_32188.72

    ;7111.77194.20293.67370.15246.97181.62342.78

    ;8123.55199.23299.11373.62246.69179.38319.26230.01 ;9132.27208.44306.61383.20253.57184.78305.17208.39469.82 ;10135.34213.67315_31390.40263.35195.16301.02198.28443.66447.82 ;l1129.33212.46323.42403.67?

Report this document

For any questions or suggestions please email
cust-service@docsford.com