9
PUR SWrucWural Analysis of HisWorical ConsWrucWions – Jerzy Jasieńko (ed) © 2012 DPNH ProcławH PolandH ISSN 0860-2395H ISBN 978-83-7125-216-7 pfMriATflN ANa bumbofMbNTAi obpbAoCe lN bNbodY afppfmATflN BbeAsflo lc alr-dlNd vuan gianli N , phi ving O ABpToACT aou-dong Ebracket setF is a unique timber component in traditional Chinese building. fn this research the representative bracket sets in vingxian timber pagoda are selected as the investigating objectI and physical model testing method is adopted to ascertain the load transfer mechanism and deformation character of aouJdong. By means of horizontal low cyclic loading test under the vertical load actionI the hysteresis curves and skeleton curves of the bracket set models have been obtained. qhe research result indicated the lateral displacement stiffness of the bracket set is increase with the vertical load increaseI the friction and shear on interface between members of the bracket set is a main means to energy dissipation. According as the mechanical and geometrical parameters extracted from physical modelI a finite element model based on energy dissipation of aouJdong has been proposed. fn this cb model the dimensional bracket layer substructure is adopted to incarnate the connecting rule of structural configurations of aouJdongI and “contactJtarget” pair is set on the interface between aou Ebracket blockF and dong Ebracket armF to carry out the function of energy dissipation by friction and shear. A typical cb model of aouJdong has been constructed by program AkpvpI and the whole loading processes of the corresponding physical model test have been simulated and analyzed. qhe analysis result proved that this cb model with perfect simulation function for frictionJshear actionI and can be applied to seismic behavior study for the traditional Chinese timber building. heywords: aouJdong Ebracket setF, Model test, ioad transfer mechanism, crictionJshear function, bnergy dissipation, qraditional Chinese timber building NK fNTolarCTflN aou-dong Ebracket setF is a unique structural component in traditional Chinese timber building. According to the historical literatur es xNzI aouJdong had been set up the top of column to bear overhanging roof in ancient building as early as the initial stage of uiJwhou aynasty Earound NMSS B.C.F. Because of the various functions on prettified building’s appearanceI transferred overhanging loadI and dissipated earthquake energyI aouJdong was widely used in ancient significant Chinese buildingsI such as palacesI pagodasI and temples. vingxian timber pagoda built in A.a.NMRS is the highest wooden pavilion style structure in China. qhe exquisite bracket sets totaled QQM are the most remarkable components of the pagoda Ecig. NF xOz. rndergone numerous strong earthquakes and weather erosion nearly a thousand yearsI vingxian timber pagoda is severely damaged and needs to be repaired urgently xPz. fn this research the representative bracket sets in vingxian timber pagoda are selected as the investigating objectI and physical model testing method is adopted to ascertain the load transfer mechanism and deformation character of aouJdong. And combined with the application of program AkpvpI the practical generation method of finite element model of aouJdong based on energy dissipation by friction and shear is discussed. N mrofessorI Architectural pcience and bngineering CollegeI vangzhou rniversityI ChinaI yjl]yzu.edu.cn O draduate ptudentI Architectural pcience and bngineering CollegeI vangzhou rniversityI ChinaI syPQMOTOURV]NSP.com

pfriATflabumbofbNTiobpboel bbodafppfmflN besflolcalrdld · 2015. 11. 15. · PUV= st==horizonta=isplacement û e I=th=decrease=o=bea=capacit=o=th=mode=ar=no=obviou=alon= wi==as==y=meI=whi==aoJd====bilit==energ=

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Page 1: pfriATflabumbofbNTiobpboel bbodafppfmflN besflolcalrdld · 2015. 11. 15. · PUV= st==horizonta=isplacement û e I=th=decrease=o=bea=capacit=o=th=mode=ar=no=obviou=alon= wi==as==y=meI=whi==aoJd====bilit==energ=

PUR=

SWrucWural Analysis of HisWorical ConsWrucWions – Jerzy Jasieńko (ed) © 2012 DPNH ProcławH PolandH ISSN 0860-2395H ISBN 978-83-7125-216-7

pfMriATflN ANa bumbofMbNTAi obpbAoCe lN bNbodY afppfmATflN BbeAsflo lc alr-dlNd vuan gianli N, phi ving O ABpToACT aou-dong=Ebracket=setF=is=a=unique=timber=component=in=traditional=Chinese=building.=fn=this=research=the=representative=bracket=sets=in=vingxian=timber=pagoda=are=selected=as=the=investigating=objectI=and=physical= model= testing= method= is= adopted= to= ascertain= the= load= transfer= mechanism=and= deformation=character=of=aouJdong.=By=means=of=horizontal=low=cyclic=loading=test=under=the=vertical=load=actionI=the=hysteresis=curves=and=skeleton=curves=of=the=bracket=set=models=have=been=obtained.=qhe=research=result =indicated =the =lateral =displacement =stiffness =of =the =bracket =set =is =increase =with =the =vertical =load =increaseI =the =friction =and =shear =on =interface =between =members =of =the =bracket =set =is =a =main =means =to =energy=dissipation. According= as= the= mechanical= and= geometrical= parameters= extracted= from= physical= modelI= a= finite=element= model=based= on= energy=dissipation= of=aouJdong= has= been=proposed.= fn= this= cb= model= the=dimensional= bracket= layer= substructure= is= adopted= to= incarnate= the= connecting= rule= of= structural=configurations= of= aouJdongI= and= “contactJtarget”= pair is =set =on =the =interface =between =aou =Ebracket =blockF=and=dong=Ebracket= armF= to=carry=out= the=function=of= energy=dissipation=by=friction=and=shear.=A=typical=cb= model=of=aouJdong=has= been=constructed=by=program=AkpvpI=and= the=whole=loading=processes= of= the=corresponding=physical= model= test= have=been= simulated= and=analyzed.= qhe=analysis=result=proved=that=this=cb=model=with=perfect=simulation=function=for=frictionJshear=actionI=and=can=be=applied=to=seismic=behavior=study=for=the=traditional=Chinese=timber=building.==heywords: aouJdong Ebracket setF, Model test, ioad transfer mechanism, crictionJshear function,

bnergy dissipation, qraditional Chinese timber building NK fNTolarCTflN aou-dong= Ebracket= setF= is= a= unique= structural= component= in= traditional= Chinese= timber= building.=According =to =the =historical =literatur =es =xNzI =aouJdong =had =been =set =up =the =top =of =column =to =bear =overhanging= roof= in= ancient= building= as= early= as= the= initial= stage= of= uiJwhou= aynasty= Earound= NMSS=B.C.F.=Because=of= the=various= functions=on=prettified=building’s=appearanceI= transferred=overhanging=loadI= and= dissipated= earthquake= energyI= aouJdong was= widely= used= in= ancient= significant= Chinese=buildingsI=such=as=palacesI=pagodasI=and=temples.=vingxian=timber=pagoda=built=in=A.a.NMRS=is=the=highest=wooden=pavilion=style=structure=in=China.=qhe=exquisite= bracket= sets= totaled= QQM= are= the= most= remarkable= components= of= the= pagoda= Ecig.=NF=xOz.=rndergone= numerous= strong= earthquakes= and= weather= erosion= nearly= a= thousand= yearsI= vingxian=timber=pagoda=is=severely=damaged=and=needs=to=be=repaired=urgently=xPz.=fn =this =research =the =representative =bracket =sets =in =vingxian =timber =pagoda =are =selected =as =the =investigating= objectI= and= physical= model= testing= method= is= adopted= to= ascertain= the= load= transfer=mechanism=and=deformation=character= of=aouJdong.= And=combined=with=the=application=of=program=AkpvpI= the= practical= generation= method= of= finite= element= model= of= aouJdong= based= on= energy=dissipation=by=friction=and=shear=is=discussed.=

=

================================================N=mrofessorI=Architectural=pcience=and=bngineering=CollegeI=vangzhou=rniversityI=ChinaI=yjl]yzu.edu.cn=O=draduate=ptudentI=Architectural=pcience=and=bngineering=CollegeI=vangzhou=rniversityI=ChinaI=

syPQMOTOURV]NSP.com=

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PUS=

== ==

===============EaF=vingxian=timber=pagoda============================EbF=Bracket=sets=under=the=eaves=

cigK N Bracket=sets=in=vingxian=timber=pagoda=

=OK ClNcfdroATflN CeAoACTbo lc alr-dlNd OKNK Main types of aou-dong aouJdong= is= usually= set= between= column= and= floor= or= roof= in= ancient= wooden= structures.= aou= is=a=quadrate= block= member= with= grooveI= and= dong= is= a= bowed= cantilever= arm= member.= Based= on= the=construction= rule= these= block= members= and= cantilever= arm= members= are= tiered= vertically= and=horizontally=to=form=a=bracket=system.=qhe=number=of=layers=of=the=bracket=system=is=depended=on=the=overhanging=length=of=the=roofI=and=is=restricted=by=the=feudalistic=grade=of=the=traditional=buildings.=According= to= the=Construction oule in pong aynasty xQzI= aouJdong=is=mainly=classed= to=three= types=based=on=the=positions=of=bracket=set=and=columnsI=that=isI=Bracket=set=on=columnI=Bracket=set=between=columnsI=and=Bracket=set=on=corner=column.=qhe=representative=bracket=sets=in=vingxian=timber=pagoda=are=showed=in=cigure=O=xOz.==

=

cigK O=Bracket=sets=in=vingxian=timber=pagoda=xOz= OKOK Basic configuration of aou-dong cigure P= shows= the= basic= configuration= and= member= denomination= xQz= of= aouJdong= based= on= the=Construction oule in pong aynasty.=qhe=big=block=located=underlayer=of=aouJdong=is=Cap=blockI=the=Cap=block=with=cross=groove=for= placement= of= Axial=arm=and=clower= arm.= crom=bottom=layer= to= top=layerI=Axial=armI=iong=armI=lval=armI=and=oegular= arm=are=arranged=along=the=vertical=ordinate=of=building.= CorrespondinglyI =clower =armI =pecond =flower =armI =kose =armI =Angled =armI =and =pmall =tieJbeam=are=arranged=along=the=horizontal=ordinate=of=building.=qhe=bracket=arm=layers=are=supported=and=fixed=by=blocks=such=as=Connection=blockI=Center=blockI=and=bnd=block.=fn=the=one=layer=of=aouJdongI=two=crossed=bracket=arms=are=connected=by=means=of=mortise=and=tenonI=and=the=blocks=are=fixed=on=the=bracket=arms=by=wooden=dowel.=

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PUT=

======== = = ==

====================EaF Assembled=model=of bracket=set EbF=aisassemble=model=of bracket=set =

cigK P=Basic=configuration=of=aouJdong.=N.=Cap=blockI=O.=Axial=armI=P.=clower=armI=Q.=iong=armI=R.=lval=armI=S.=pecond=flower=armI=T.=lval=armI=U.=iong=armI=V.=oegular=armI=NM.=kose=armI=NN.=Angled=armI=NO.=iong=armI======NP.=oegular=armI=NQ.=kose=armI=NR.=pmall=tieJbeamI=NS.=Connection=blockI=NT.=Center=blockI=NU.=bnd=block=

PK MbCeANfCAi molmboTY TbpT lc alr-dlNd PKNK Test scheme of physical model of aou-dong

PKNKNK aesign and fabrication of physical model qhree =typical =bracket =sets =at =the =key =positions =of =vingxian =timber =pagodaI =that =isI =Bracket =set =on =columnI =Bracket =set =between=columnsI =and=Bracket =set =on=corner =column=Ecig. =OFI =are =made=into=the=physical= models= on= the= scale= of= NWP= Ecig.= QF.= bach= physical= model= is= SVM= mm= tallI= the= detailed=dimensions =can =be =find =in =the =literatures =xSI =Tz.qhe =timber =of =model =is =red =pineI =and =the =assembled =units=are=listed=in=the=qable=N.==

=== === ====EaF=Bracket=set=on=column=============EbF=Bracket=set=between=columns======EcF=Bracket=set=on=corner=column=

cigK 4=mhysical=model=of=aouJdong=

Table N Assembled=units=of=physical=models=

jember=number= Bracket=set=on=column=

Bracket=set=between=columns=

Bracket=set=on=corner=column=

=alr=

Eblock=memberF=

Cap=block= N= N= N=Center=block= Q= Q= Q=bnd=block= NP= ON= PQ=Connection=block= T= T= NN=qotal= OR= PP= RM=

==dlkd=

Earm=memberF=

clower=arm= Q= U= Q=Axial=arm= N= N= O=iong=arm= P= P= S=lval=arm= Q= Q= U=oegular=arm= N= N= =qotal= NP= NT= OM=

PKNK2K ioading scheme qo= understand= the= load= transfer= mechanism= and= energy= dissipation= behavior= of= aouJdongI= the=horizontal=low=cyclic=loading=test=with=the=vertical=load=action=is=adopted.=According=to=the=cb=analysis=

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PUU=

to=deadweight=load=of=main=floors=of=the=pagoda=xSzI=three=vertical=loadsI=NR=kkI=OO.R=kkI=and=PM=kkI=are= put= on= the=physical= modelI= which= are= corresponding= to= the= deadweight= loads= act= on= the= top= of=columns=at=fourth=floorI=third=floorI=and=second=floorI=respectively.=eorizontal=low=cyclic=test=is=controlled=by=displacement=act=on=the=Cap=block=of=the=model.=qhe=initial=value=of=the=displacement=is=PmmI=then=an=increment=of=P=mm=each=step=is=applied=up=to=NUmm.=qhe=cyclic=load=repeats=P=times=at=each=step=of=displacementsI=and=the=loading=speed=is=M.NR=mmLs.==PKNKPK ioading equipment and measure method qest=equipment=and=instruments=consist=of=cqp=servo=loading=test=systemI=hydraulic=pressure=jackI=and=displacement=sensors=Ecig.=RF.=fn=the=test=process=the=physical=model=is=upendedI=that=is=the=Cap=block=is=located=on=the=top=layerI=which=is=convenient=for=loading=and=fixation=of=the=model.=qhe=vertical=load=k=is=acted=on=the=geometric=center=of=bottom=side=of=Cap=block=and=loaded=by=hydraulic=pressure=jack.=qhe=vertical=displacementI siΔ I= is=measured=by=displacement= sensors=put=on=the=upside=of=every= layer.=qhe=horizontal= load= m= is=acted=on= the= lateral= side=of= Cap=block=and= loaded=by=cqp= servo=loading=test=system=along=the=horizontal=ordinate=of=model.=qhe=horizontal=displacementI eiΔ I=is=measured=by=displacement=meters=put=on=the=lateral=side=of=every=layer==Ecig.=RF.==

=== ==

===============EaF=bxperiment=equipment===============================EbF=pketch=map=of=load=and=measure=method==

cigK R=ioad=and=experiment=equipment==

PKOK Test result of physical model of alr-dlNd

PK2KNK aeformation and damage process of physical model auring=the=horizontal=low=cyclic=testI=the=block=members=of=the=modelI=such=as=Connection=blocks=and=bnd=blocksI= are= sliding=along= the=direction=of= horizontal= load.= Along=with= the= increase=of= horizontal=loadI=the=slippage=of=block=members=are=increaseI=some=flexual=deformations=and=small=cracks=can=be=found=in=the=arm=membersI=and=the=model=has=a=whole=turn=deformation.=then=the=control=horizontal=displacement eΔ is=around=NRmmI=the=obvious=cracks=can=be=found=in=arm=members=located=the=upper=layer=of=the=models.=qhe=test=is=stopped=with=the=horizontal=split=at=the=weak=internal=groove=of=Axial=arm=Ecig.=SF=when=the=control=horizontal=displacement eΔ reached=NU=mm.=qhe=Axial=arm=is=a=severe=damaged=member=in=each=physical=model=during=the=test.=Because=the=Axial=arm=borne=the=vertical=pressure=k=and=horizontal=shearing=force=m=transferred=from=Cap=blockI=and=the=extrusion=force=me transferred=from=clower=arm.=qhe=complicated=stress=condition=Ecig.=TF=induced=the=failure=that=horizontal=split=along=the=weak=internal=groove=of=Axial=arm.==

========= =

cigK S=eorizontal=split=of=Axial=arm================================cigK T=ioads=act=on=Axial=arm= PK2K2 eysteresis curve and skeleton curve of physical model qhe= emk Δ-- =hysteresis= curves= of= each= physical= model= under= three= vertical= loads= are= showed= in=figure=U.=qhe=energy=dissipation=property=of=aouJdong=can=be=concluded=from=cig.=UWNF=under=the=each=

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PUV=

step=of=horizontal=displacement eiΔ I=the=decreases=of=bear=capacity=of=the=model=are=not=obvious=along=with= the= increase= of= cyclic= timesI= which= indicated= aouJdong= has= a= steady= capability= for= energy=dissipation.=OF=under=the=same=step=of=horizontal=displacement eiΔ I= the=frictionJshear= force=is= increase=with=the=vertical=loadI=so=the=horizontal=load=m=acted=on=the=alrJdlkd=is=increase=correspondingly.==cigure= V= shows= the= skeleton= curves= of= models= at= three= vertical= load= conditionsI= which= are= drawn=according=as=the=outline=of=corresponding=hysteresis=curve=in=figure=U.=By=comparison=of=these=skeleton=curves=in=figure=VI=it=can=be=found=the=lateral=displacement=stiffness=of=aouJdong=is=increase=with=the=vertical=load.=fn=additionI=the=lateral=displacement=stiffness=is=proportional=to=the=total=member=number=of= aouJdong= Esee= also= from= qable= NFI= in= stiffness= ascending= sequence= is= Bracket= set= on= columnI=Bracket=set=between=columnsI=and=Bracket=set=on=corner=column.==

== == ==

EaF=Bracket=set=on=column==

== == ==

EbF=Bracket=set=between=columns==

== == ==

EcF=Bracket=set=on=corner=column==

cigK U= eΔmk -- =hysteresis=curves=of=bracket=sets=under=horizontal=low=cyclic=loading===

==

==EaF=ioad=condition=N=Ek Z=NRk=kF====EbF=ioad=condition=O=Ek Z=OO.R=kkF======EcF=ioad=condition=P=Ek Z=PM=kkF==

cigK V=pkeleton=curves=of=bracket=sets=

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PVM=

4K obpbAoCe ANa dbNboATflN lc cb Mlabi lc alr-dlNd 4KNK pimplification of structure of aou-dong qhe=structural=configuration=of=aouJdong=is=comparative=complex.=fn=order= to=generate=a=practicable=cb= analysis= modelI= it= is= necessary= to= simplify= the= structure= of= aouJdong= based= on= the= mechanical=property=and=connection=configuration=of=the=structural=members.=According= to= the= mechanical= character= of= aouJdong= that= vertical= load= transfer= by= the= cantilever=bracketsI= the=aouJdong= can=be= regarded= to= a= dimensional= multilayer= bracket= set= Ecig.= NMaF.= fn= this=bracket= setI= Cap=block=and=Center= blocks= located= on= the=vertical=central=axis= as= the=central=standingJpillarI= the=arm=member= as= the=cantilever= fixed=the=central= standingJpillarI= and=Connection=block=and=bnd=block=as=the=stowJwood=fixed=on=the=cantilevers.=Based =on =the =assembling =rule =of =aouJdong =tiered =the =block =and =arm =members =layer =by =layerI =each =bracket= layer=can=be=regarded=as=a=substructure=of=the=dimensional=multilayer=bracket=set.=qhe= ledge=joints=are=set=between=two=substructures=on=the=position=of=blocks= to= incarnate=the=function=of=energy=dissipation=by=friction=and=shear=Ecig.=NMbF.=qhe=ledge=joint=can=transfer=the=vertical=pressureI=shearing=force=and=horizontal=frictionI=but=can=not=transfer=the=pull=force=and=bending=moment.==

========================== ============================EaF aimensional=structure=of=bracket set ===EbF iayer substructure=of=bracket=set =

cigK NM pketch=map=of=simplified=structural=model=of=bracket=set =4KOK Material parameter of cb model qo=obtain=reasonable=material=parameter=of=the=cb=model=of=aouJdongI=it=is=important=to=consider=that=the= timber= is= a= typical= anisotropic= material.= qhe= main= material= parameters= to=be= ascertained= are= as=followsW=NF=aensity=and=moisson=ratio=of=the=timber.=OF=qhe=compressive=strength=and=elastic=modulus=at=across=grain=direction=of=timber.=PF=qhe=compressive=strength=and=elastic=modulus=at=parallel=grain=direction= of= timber.= QF= criction= coefficient= between= the= wooden= membersI= such= as= static= friction=coefficient=and=dynamic=friction=coefficient.=qhe=timber=of=physical=model=is=red=pineI=with=the=density=of=RQU=kgLmPI=and=the=moisson=ratio=is=M.NT.=qhe=compressive=strength=and=elastic=modulus=is=measured=by=axial=compression=test.=cigure=NN=shows=the=σ – ε==curve=of=timber=samples.=qo=simplify=the=hysteresis=behavior=analysis=of=cb=modelI=the=stress=–= strain=behavior= of= the=timber= is= described=by=bilinear= kinematic=hardening=model.= At= across=grain=direction=of=timberI=the=yield=stress=is=N.ST=jmaI=elastic=modulus=is=ONS=jmaI=and=hardening=modulus=is =P.U =jma. =At =parallel =grain =direction =of =timberI =the =yield =stress =is =OP.MU =jmaI =elastic =modulus =is =VMT=jmaI=and=hardening=modulus=is=QQ.T=jma.

============ ==

=======================EaF=Axial=compression=to=across=grain========================EbF=Axial=compression=to=parallel=grain==

cigK NN=σ – ε=curve=of=timber=under=axial=compression=

Page 7: pfriATflabumbofbNTiobpboel bbodafppfmflN besflolcalrdld · 2015. 11. 15. · PUV= st==horizonta=isplacement û e I=th=decrease=o=bea=capacit=o=th=mode=ar=no=obviou=alon= wi==as==y=meI=whi==aoJd====bilit==energ=

PVN=

qhe =friction =coefficient =of =timber =is =an =important =parameter =to =the =cb =model =based =on =energy =dissipation=by=frictionJshear.=Considering=the=relative=displacement=between=members=engendered=by=the=practical=horizontal=load=is=smallI=as=well=as=the=contact=interface=of=members=is=not=carefully=madeI=the= static= friction= coefficient= is= adopted= in= the=cb= model= for= structural= analysis.= qhe= static= friction=coefficient= of= timber= used= in= the= physical= models= is= measured= based= on= two= practical= contact=conditions=of=interfaces=xSzI=for=the=contact=condition=of=across=grain=to=parallel=grain=is=jr=Z=M.RNVI=and=for=the=contact=condition=of=parallel=grain=to=parallel=grain=is=jr=Z=M.QRR.==4KPK blement type of cb model fn=order=to=simulate=the=character=of=energy=dissipation=by=friction=and=shearI=it=is=necessary=to=adopt=three=dimension=solid=element=and=set=“contactJtarget”=pair on=the=contact= interface=between=members=for= the= generation= of= cb= model= of= aouJdong.= fn= this= simulation= and= analysis= investigationI= the=program= Akpvp= is= adoptedI= three= dimension= solid= element= plifaQR= is= used= to= generate= block=members=and=arm=membersI=and=contact= element=ClkqANTP=and=target= element=qAodbNTM=are=set=on=every=contact=interface=between=block=member=and=arm=member=Ecig.=NOF.=qhe= contact= element= ClkqANTP= should= be= set= along= inner= surface= of= block= member.= qhe= target=element =qoAdbNTM=can=be=set =on=the=possible =slip =area=of =arm=member=to=reduce=the=total =element =number= of= the= model= and= increase= the= analysis= efficiency.= According= to= the= observation= value= from=physical= model= test= and= considering= a= moderate= slippage= incrementI= the= double= covered= length= of=block =EOiFI =that =is =a =covered =length =EiF =superadd =the =respective =half =length =EiLOF =at =foreside =and =backside=of=blockI=is=adopted=as=the=length=of=slid=area.==

= =cigK NO=petting=of=contact=element=and=target=element=

=RK AmmifCATflN lc cb Mlabi lc alr-dlNd RKNK deneral situation of cb model of aou-dong fn= this= research= the= Bracket= set= on= column= is= selected= as= the= example= to= generate= cb= modelI= and=program=Akpvp=is=adopted=to=simulate=the=mechanical=behavior=according=as=the=progress=of=physical=model=test=introduced=in=above=paragraphs.=qhe=cb=model=of=Bracket=set=is=composed=of=four=substructure=layers=Ecig.=NPF.=ft=is=generated=by=three=dimension=solid=element=plifaQRI=with=total=NQOISVP=mesh=elements=when=the=mesh=size=level=of=S=is=set.=qhe=contactJtarget=pairI=composed=of=contact=element=ClkqANTP=and=target=element=qAodbNTMI=is =defined =on =the =every =contact =interface =between =block =member =and =arm =memberI =with =total =RISOQ =mesh=elements=in=the=cb=model.==RKOK cb analysis and simulation to physical model test fn=order=to=simulate=the=practical=loading=condition=of=physical=model=test=Ecig.=RFI=the=cb=model=is=still=upended=and=the=freedoms=of=fourth=layer=at=xI=y=and=z=direction=are=restricted.=qhe=vertical=load=and=horizontal= load=are=acted= on= the=Cap=blockI= and= the=concentrated= load= is= converted= into= the=uniform=load=to=avoid=the=occurrence=of=stress=singularity=point.=qhree=vertical= load=conditionsI= ENF=k=Z =NR =kkI =EOF =k=Z= OO.R= kk=and= EPF= k=Z =PM =kkI =are =used =in =cb =analysis=and=simulation=by=Akpvp.=rnder=each=condition=the=horizontal=load=is=increased=step=by=step=to= the= scheduled= displacementI= and= the=corresponding= horizontal= load=and=energy=dissipation=area= of=the=cb=model=at=each=control=displacement eΔ are=checked.=cigure=NQaJNQc=show=the=hysteresis=curves=of=cb=model=under=three=loading=conditions.=Along=with=the=increase= of= vertical= load= kI= the= horizontal= load= m= acted= on= the= model= to= reach= the= control=

Page 8: pfriATflabumbofbNTiobpboel bbodafppfmflN besflolcalrdld · 2015. 11. 15. · PUV= st==horizonta=isplacement û e I=th=decrease=o=bea=capacit=o=th=mode=ar=no=obviou=alon= wi==as==y=meI=whi==aoJd====bilit==energ=

PVO=

displacement eΔ is=increaseI=and=plump=degree=of=hysteresis=curve=of=the=model=is=also=increaseI=which=indicates= this= cb= model= is= similar= to= the= physical= model= of= aouJdong= on= the= function= of= energy=dissipation=by=friction=and=shear.=qhe=horizontal=loads=need=to=be=acted=on=the=cb=model=and=physical=model= to=reach=the=same=control=displacement=are=listed=in=qable=O=respectivelyI=and=the=calculated=energy=dissipation=values=according=as=the=area=of=hysteresis=curve=are=listed=in=qable=P.=qhe=comparison=of=analysis=value=and=test=value=is=demonstrated= that= this= cb= model= can= be= effectively= used= to= analyze= and= simulate= the= mechanical=behavior=of=aouJdong.===

========== == =========================================EaF=mhysical=model=======================================EbF=cb=model==

cigK NP=jodel=of=Bracket=set=on=kolumn==

===== ===== ==========EaF=sertical=load=k Z=NR=kk=============EbF=sertical=load=k Z=OO.R=kk==============EcF=sertical=load=k Z=PM=kk=

cigK N4=eysteresis=curves=of=cb=model=of=Bracket=set=on=column==

Table O=eorizontal=loads=acted=on=Bracket=set=on=column=at=control=displacementsI=kk==

= ioad=condition=

Control=displacementI= eiD =S=mm= V=mm= NO=mm= NR=mm= NU=mm=

mhysical=model=Eeorizontal=load==L=kkF=

(N)= R.NQ= S.NQ= S.QT= S.VU= did=not=test=

(O)= R.QQ= S.VM= T.VR= U.OQ= U.UT=

(P)= S.OO= T.PQ= U.OO= U.TU= V.PV=

cb=model=Eeorizontal=load==L=kkF=

(N)= Q.TQ= S.MO= S.SQ= S.VN= T.PS=

(O)= R.TN= T.NU= T.VR= U.PO= U.SU=

(P)= S.PT= T.TQ= U.PS= U.ST= U.US==

Table P=bnergy=dissipation=value=of=Bracket=set=on=column=at=control=displacementsI=kkJmm==

= ioad=condition=

Control=displacementI= eiD =S=mm= V=mm= NO=mm= NR=mm= NU=mm=

mhysical=model=Ebnergy=dissipation==L=kkJmmF=

(N)= NRP.RR= PVP.VU= TPT.QM= NNQQ.QM= did=not=test=

(O)= NRV.NM= QMT.TN= TRU.SV= NOQP.RV= NVVS.MT=

(P)= NSM.VR= QQQ.NS= UQN.QQ= NPUU.QO= ONVV.RT=

cb=model=Ebnergy=dissipation==L=kkJmmF=

(N)= QU.NM= OON.UR= SNM.RM= NNNS.TO= NVMM.SV=

(O)= RN.UM= OSM.NM= SUO.MU= NOSO.QS= ONNM.UV=

(P)= RS.QP= OVM.TM= TSV.NO= NPQN.MV= OPOM.VV=

Page 9: pfriATflabumbofbNTiobpboel bbodafppfmflN besflolcalrdld · 2015. 11. 15. · PUV= st==horizonta=isplacement û e I=th=decrease=o=bea=capacit=o=th=mode=ar=no=obviou=alon= wi==as==y=meI=whi==aoJd====bilit==energ=

PVP=

SK ClNCirpflN =qhis= research= ascertained= the= load= transfer= mechanism= and= deformation= character= of= aouJdong= by=physical= model= test.= rnder= the= action= of= horizontal= low= cyclic= load= and= vertical= loadI= the= lateral=displacement= stiffness=of= the=aouJdong= is= increase=with= the=vertical= loadI= the=combination=of=whole=turn=and=relative=slide=between=layers=is=the=main=deformation=character=of=aouJdongI=and=the=friction=and=shear=on=interface=between=members=of=aouJdong=is=an=important=means=to=energy=dissipation. According=as=the=mechanical=character=and=construction=rule=of=aouJdongI=this=research=proposed=the=practical= generation= method= of= cb= model= of= aouJdong.= fn= this= cb= model= the= dimensional= bracket=layer= substructure= is= adopted= to= incarnate= the= basic= character= of= loads= transfer= of= aouJdongI= and=“contactJtarget”=pair is =set =on=the=interface=between=block=member=and=arm=member=to=carry=out =the=function=of=energy=dissipation.==A=typical=cb=model=of=Bracket=set=on=column=has=been=generated=by=program=AkpvpI=and=the=whole=loading= processes= of= corresponding= physical= model= test= have= been= simulated= and= analyzed.= qhe=analysis=result=indicated=that=this=cb=model=with=perfect=simulation=function=for=frictionJshear=actionI=it=is= effectively= to=describe= the=mechanics=behavior= of= the=aouJdong=under= the=action=of= vertical= load=together= with= horizontal= cyclic= loadI= and= can= be= applied= to= seismic= behavior= study= for= the= timber=structure=of=traditional=Chinese=building.=

AChNltibadbMbNTp =qhis=research=are=supported=by=fnternational=Cooperation=mroject=of=pinoJftalian=pCq=goint=Commission=EOMMSJORkF=and=kation=katural=pcience=coundation=of=China=ERNMTUPOPF.= obcbobNCbp xNz= ifr=aunzhen.= ENVUQF=eistory=of=Ancient=Chinese=Architecture=Esersion=ffF.=China=Architecture=

C=Building=mressI=Beijing. xOz= Cebk=jingda.=EOMMNF=qhe=vingxian=qimber=magoda.=Cultural=oelics=mressI=Beijing.=xPz= if=qieyingI=et=al.=EOMMRF=Appraisal=on=the=ptructure=of=the=vingxian=tooden=qower.=China=Civil=

bngineering=gournalI=sol.=PUEOFW=RNJRU.=xQz= bdit=by=ii=gieI=Calibrate=by=wou=nichan.=EOMMSF=vfkdJwAlJcAJpef=EConstruction=oule=in=pong=

aynastyFI=qhe=meople=mressI=Beijing.=xRz= ur= Boan.= ENVUUF= aouJdong.= bncyclopedia= of= China= EArchitecture= solumeFI= bncyclopedia= of=

China=mublishing=eouseI=Beijing.=xSz= tAkd=gue.=EOMMUF=qhe=kumerical=pimulation=and=pecurity=Appraisal=of=qensioning=–=replacement=

jethod= for= qorsional= and= fnclined= aeformation= of= vingxian= tooden= qower.= aissertation= of=vangzhou=rniversityI=China.=

xTz= Cebk= tei.= EOMNMF= jechanical= mroperty= and= pimplified= Analysis= jodel= of= aouJdong= of=vingxian=tooden=qower.=aissertation=of=vangzhou=rniversityI=China.=