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Nonlinear earthquake response analysis and energy calculation for seismic slit shear wall structures


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bNalNEERING

ANI)FN“IKFFRING VIBR,trl0N

Artide lD:】67卜j664f2002)02 0217

Nonlinear earthquake respOnse analysis and energy calculation

fbr seismic slit shear wall structures
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NumcricaI model
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万方数据  

22S

EARTIIOUAKE ENG仆jEERlNG AND ENGlNEERING VIBRAlION

rL口resellf

fhe ccIlcmj wall

naIIel.wilile fhc 110rizoll【aI the shear stlfhlcss
ls

caIl

be Iaken

ln“)accOullt

i11 this mode

‘plln竺al Ihe 11eighI ol rh

repre‘cnIs

rhe relalive rota“on()jLhe waIllnembcr bc‘lI¨und thc poiill su【tt【ble


i11tended

L(1

A placcd r|s

on

the cenlruld axis
on



alue“)r

assumcd

Ihe ha如s ul'1}1e The hc

expc“e“cut'va“1rc di叫rihuIion aIon2 the hei2ht hv‘terclIc chdractens【lcs lllo~e of of Ihis model
can

Llescnhed bY Thls
axls

thc sheal'sDI_ing and axial har follhc nuctualloll of ihc neu【ral when lne】a札lc heh|lviot_takcs

mo血l
t订L11e
111

acct)un【s cluss

scct【on

phce

1hc waIf,whiIe this important phcnonlenon is in lhc equlvalenI beafll In model uLlhzed 1hc By mea¨~oJ sIiffness denved
as

dlsrcⅡardcd wIdely
ln

en£mecrin卫

p J'acIice.

a(1 djtinn,

1he prjncJp】c 0r lhe

or、JrluaJ、vork clcmenI
can

lhc he

1111era“10n a11d

helween thc bendlllg
oII

and shear behavioL
t J1e

matnx

wall

Ihe crk“of』Ixial“)rce

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fhc w副J

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2 4

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t。f,‘ 4 ^,f 』

dlhIallce helwecn【he mIh ve九ica】truss eIemenI and lhe
ce n{rtlⅢax沁a11d IruKh


J{hc

(21

clc¨1e11t

T11c dihplacemenf maIrix coIrespolldmg

t。掣
☆df ^dr

1¨1hc ah()Vc HIjjl'ness matrix whcre
vc

1~t,.,、1,.甘。.“,,V,,efj
ho“z【)nIaj
aI

&df一 4

ff,、

1’.,

H.

ib

t11e

dlspIacement, 1he nh nude
on

r【lca】d【s口】acenlenI.and rulalion

lhc cPflfjl¨d axfs,rc^pec“ve}v fhc ri2hI mree {he

fe¨nH arc

where七d
diK“paLiull

js

the曲c盯 f wall eIelnent

n垂d】fy听fhe
lhc The len譬【h of

cn。rgy
crnsx

dj叩laccnlentK o九h。,Ih Ilode.In

past apPli。atioll

devlce.a11d

the

nr thjh

n1州e J.111e
1ach

parameIer is



defiⅢng Ihe pOs…on of alTlbiouou s hardlv
anv

secIioll()r 1hc

d18pl跗emell¨na”ix

Lhc reklllve t_()la“11£cenIer mr“1e

To

acc()unL

Il川'hcrc
in

are

poInts

0f

器舞种…k灿…“仃”…””h沁
3 Constitut.ve mf,dcls 3?I Shear force-shear dcf‘Ⅲfnation hystere“c

c‘)11Iratlexure
【110nlent lI caIl

l№sa【11e
IhaI


sf01.v

bcc趴lse

lIle hendinc

chaIlges slowIy a】(1“g the heighl of shcar wall, eqLlaIs O.5 tln【hc basis of the dIsInbuIlon(Jian2 and

bc LIerlved

c【s轧11111)11()n‘)1 I u,J Ihe

cve【1

curvatuIc

moⅡCI I”past“pplicalion
hen ding of

998) JJle erml‘c洲be decJeased bv jnc"a3iI】g of
numhcr ()【 Ⅵa11 elelⅥents in the calculation

MVl FM,the
was

Inkrac【lun

S…11larly.iu【he Ilg ht of【h。princlpIe of virIual work, 【hc sIlfnles‘111atrlx ur lhe (Ic¨ved ns“川nws
enelgv

bcLween蚰ear and门exuw de』。mlaci。n
s。paraIcly aild In calcu】aIed

ne91ected.a11d 1he

s11ear order

dlIKlpallon device

d曲)rma“on
to

weIe Ihis

I‘

overcomc
as a

sllurlc。fllil培,Ihe wall panclis slmpllned

nlenlhrane

万方数据  

!!!!
clemenl in Ihc

些鲨旦!型竺竺型::垒竺!!!!兰!塑!g!!堕!!!鬯!兰!!!!翌!!竺竺!竺!些!!!望!!型!坐!!!!曼
lhe calculation or
are

!翌

shear

defomlati()n.men
【o

3.2

HJstere廿c Due
Io

mod“for axialbars

oquatlolls

e刚ahli幽cd
of forccs,

ac∞rding
for

Ihc of Ihe

oquiIibnum

condiIions

001llpa“bilItv

insumclcncy of elperimenlal data for

dc如mlafIon,and【he
undeo p】a11e sIrain oi
truss strcss

constimtive Iaws

collcrete

axia】baB under cvc】记JL口ds,fhe ca】cu】alin2 n10deI based
on

condlIions

Rv equatlng【he ve九ical that of thc vcnica】
Ot

lhc maIerial constltutive laws is ad‘)DLed here.
c(1ncrele

nlelllhrane clcmc【11 wiIh JOcaIed
af

which takes the action 0f
In“) account

and

rein“)Wcmellt
effecIs stcel lhc of

elemcnt

the

ccnuoid

the

wall

re8pcctively. cfacked
arc

The

intcracdon a11d 把阳1s

eIement,Ihe

c‘)mpaIibiliiv 0f
are

deformaIi()n
accoullt

between The shcar
curve

between

Lhe
n!

“mcrete ;n

Ihcsc twu eJe nlents iorce
versus

takcn inlo

rclnjorceIne s“’am 3 2l The

consjd删d

ave魍ee

shcar

deformafinll

skclcLon

is

obtained
can
are

bv|Ier甜i()n口mcedure,The deIailcd瑚elhod elsewherc(Jiall旦and Lu,l 998)There cnaracIerⅢlo p()ln幢 crac“ng p01nf and
rlle cracki“g polnL corresponds
to

strcs螂ram

cuⅣefor c咖crete under

cy呲

be found twu

loads
curve is shown in Rg 3(Wu and 996,.1he fensile sfiflenjn2 js accoun ced i(jr In Ihis modcL me bond and刚讪be【weell concreIe and

The slress—strain l

yleI di“g point
sIaIe

thc

Lu

that the

maxlmunl principalten刚k sL心ss reaches
concreie.Tbe Vje】dm卫polnl that thc honzonta】 shear
to Io

thc crackin£sfress of corresponds relnfoIcelnent lhe

reinforcement“renected in and
avera2e

tems【)f
in

state

sIrain

F0r thc

c∞crete

average stress rhe houndarv
concrete

ylcl出ir shear fajlure happens prior
scate

coIumns.thc

stress—sIlain

curve

for connned

订cxumI f“Iure,ofhcrwise,【o lhe fIexural陀mfoIceInenI at山c Iensi】e rcinjorceJI】ent skcleloll

that Ihc venical

centroid of the venical
To sj J】1DJjfv fhc is idealizcd in
t rilineal- as one

(Sco“#,“^,l 982)诂adopced heI℃,and I皓hysIeI℃tjc 1aws are assumed lo hc me same as for unc【)nnncd

vje】ds
curve

calculaIlOn,thc

form.and the 110刚yieIdin#stiffness
percenl

js协ken

ol_山e

elaslic stiffness

The shear hvsteretlc
/ /

一M4£Ⅲ,40l【1

model adopted 1s

as曲own in Fig 2(Gunev and Murat. 1989).A defajled dcsorj【)!jon 0f fhh m()dc】c彻be
tound

elsewhere(Jiang and Lu,1999)The nlain laws
as

aI℃suInInarized

folh)ws:


/ , 月^mn。)‘ F19 1

。,一# k。
DI£。o)



_眨。
(1)r}1e
curve

Ihe时rex¨hLra】n

curve

fol concrete under cvc¨c

1(】a山

3 2 2

Thc sLrcss—s仃aill cyclic

curves

f01 Idnfbrcemcn【LLnder

10a出

A bmnear aVerage is used hcrc,wbere【he

sti肫ning
are

stress—stmin m()dcl(see Fig.4 J ef危ct due to c()ncrcte
considered

aIld Ihe yieldi“g hardcning u11loads aIong the backbone jf 3.3

curve

Hysteretic model for energy d.ssipation device
The characte—stlc points
ln

both ol lhe two crackmg has noI happened in dIreccionK II unIoa出in me direc“()n t‘)山e adverse cracking point if lhc crackin鹭lOad is exceeded whilc Ihc

the skeleIon

curve

can

be

yield…g

yieldm呈load has nol hccn surpassed.If rhe l【)ad ls exceeded,Ihe unloadin譬sc譬menl is
tw()parIs.where l}1e cIackinR 10ad
ls

bas幅()f thc Lheorv for Diles embcdded in cohesive soil and the 小e盯一fric【lon rh。0‘y The delajlcd mc山od can be fbuI州eIsewhere
on

obtalned

the

(Lu and 1hc

divlded into demarcaIi011

thc

skele【on

Jiang,1998)110 be cnnvcnIcm 10r analvsls. curve is simplined in tnlincar“)rm
to

(2)The reIoading s。gment
ls

1s

dlvided inIo two pans

Accordlng

thc

expenInenIal

dala

obIamed,

the

“)rcncc¨he pinch phenonlenon ancr山e y】eJdln譬】o丑d excecdcd,where

hysteretlc model is (see

establi出cd by mealls of re2Iession

me


cracking

load

ls

also【he is smallcr.
account

demaIca【ion

Thc札lflness of

Ihe nrsf

F培5) The main Iaws arc as i0IIows【Jlang a11d Lu,1999):1he unloading stjfhess deErades“cording
t‘)thc dennlte laws a“ef Ihe crackinP load reaches:thc
curve

nart

where lfle efkcI of【he

xIaJ Ioad is laken“lto

reIoa出in Lhc dlrccIion

Lo

Ihe LlllloadiIl2 po㈨

万方数据  

E^K【HOL:AKF

FNGlNEERINu

AND

FNGIKEERIN0

VlHRATl0N

w11‘1se【lIKnldccmcnL

ll

maxjmum i1 Ihc crackine 10ad

ha妯een cxceedcd
1【1 】【1

whlk 111e

vie㈨n2】()ad l叭l|IlIhe

|c-】=“m J+口k1 cf=2m,m,f毒,co,一髻,(【),)/(∞,2一∞J 2) 卢=2(考,∞,一{J∞J)/(m,!一mf!J
whcrc<.aI】d眚,arc
【11‘)de and lhc 1hc danlpjJ】g

(4

loddln#hlI【¨iv:if Ihe vlc】dIn£load ha‘heen cxcccd“I lhe IoddIn#¨~【orY.10 1e门cc【Lhc pinch 1)hellomcnon t11e h~meret¨ twn
curve

(S

111e

rel()adm2

sP2Inelll

1s

di、ld州…Io
dclll。1rcⅢI()11

na rI‘.whcre

Ihe crack…口l‘1ad is

I№

(6

J.aiif)∽ll”jlh
taking thc aIld

fLh

1110de,

1exnccIivclv.


:lg J 11、c qleE、_、lrd川c L1rvcf【'J.rc…“’rcc¨lc『1I u¨de LⅥ’1ic h、:l Ll、

ctm【nbLIlioll 01 the ruhhcr bc儿s i11Io

account:d):



nm【hc“¨u』ar n℃quencv oI£heⅢI fIlo‘ie and fhc
constanI

,【h mode,rcspcc【lvely.Irlle
aIe

muluplieI【z and



delermjllcd based iIl“1is

oIl

t11e fir趾tw('moLk daInning 111 ca【cuIalltln()I IateI,lJ

rallos

111vcsti2赳jun

stlllncss collde J1safion()f stillncss is 2ene】.allv nccdcd II】ordel_m rcduce llle comDuIati(mal wurk.accoIdm2 l()Lhe nf 1he

denlllIlon of latcral hLllfIless t11e

1.eversc

maI^x

ncxihlmv 11ⅢI lx.州fnlcss maIn^.is oblamed
s盯ucIulc
hu

a11e rIl】e laIeraI dlIDlacemellI of Ihe
Io

h{ecIed
lo

LmlI load

ls

calcu】dted N Lmlcrical 1nlegral i q uKcd equafinnH y equajs

s01vc ihc dyn c【Inlc

:)dopIed hc”.Ⅵhcm
0.25

Ncwmark—b I¨ethod i‘ f0 0 5 and口cLfuajs{‘)

A computcr pro#r㈨1 llas bee『1 devel()pcd lor【}1e nulllillear l…1e…stolv analvhl、or【hls sm shear w“l s“。uccum unLfPr
seIsnlic

acti()11



Solution to ene。gy cquations
wIth 111e resncc(tt)thc
tlnle

山splaceme nI moiloll

.1.…。g“。.。‘!II!c啤¨3 1j r 1rom
exclIflIlOn sfarts

rc‰ive
grt)und

lhaI

Ihe

』扛)T【M聃x)+』缸}T【cⅡdz}+』扛y LK№r} =一J{l】_。i?m阳x)
l he IhlId
lel-rn

(71 com n‘)sed nf lhe
enerQY

of thc ahovc cuLIalion Of 1he wdlI

ls

I№c0【1lrihution

clcmcnLsⅫd

dIxNlpauon devices}ll“he¨”nre,1he cncrgv dlhsIpaIed hv thc wall clcnlenIs is Ihe sI¨11 ofIhnse hv Ihc vcrliLaI
【ru~s

ejemenIs
call

and ihc obfallled Lhe

shcar~pnIl龄
in dircctlv hv



hel℃f0悒111i^
Ik lwmeIct”
as



S('Iution to dynamjc equations
The dynam¨

Lc rIn

be

cakul。【【lng

e11veIoped

arcaⅢ

Iorce—defoImatjon
can

。小J1libriLⅢ1

。quail【ms

ol

Ihe

curVe.1 Ilell Ihe

ene”gy equatlon

bc cxpre~scd

、【nlcluIc。lrc

a‘n)ll()wK:

m取}+[C肛)+k似)=一m仲扛。
wllere g

£,(f)=E}(,)+£。(j)+f。(,)+E,,{『】
(3

(8

IMl Is t11e mass malnx;lCl is 1he dampln# 11mlnx:IK】l、lhe lalera】sIⅢIless nlalnx: 置 1s Ihe

rLⅢnd“cckⅢi㈣:备}.仁}.and忙}盎℃“1e
nf htlrlz‘)nL:“relalive‘1isp】acenlcn{,vcl【'cItv. sI‘)rv.rebDecIivelv The 10【al co【1ccnLmled('n accelerilt“1n of cach

E,(f1-一』"j。旧如r}
E。(f)=f忸)1 m聃x} E。n)=f仁)T【c怕z}

9a

¨1 c】1rlx

ajId

9h

nlu‘s‘1I'cach、‘?。y11~apploxlmulcly

Ihc‰‘1L

t№n

1肼l
ls

is actua【1v



diag()naI

mHmx In

9c

o:I【“Jl。】l|o『1 or“1c danlplng R“yIcl#h LI rl【11p1119
1‘

lnaIrix.t11e assulⅥption(】f


ad(’pIcd,j 0f

Lhe dilnlplll卫nlaII‘ix maHs Inatrh and

“1c

】i11car“1111hill“110n

thc

£㈤=』∑f d:

()“

万方数据  

坠!

些坚坐型幽垡!生!型竺坚婴型壁兰:型!:!竺型些!竺型!业坐!!!型坐型型:——三生

£√¨:J∑叫“,
wlle【c£,(,}is 111c 【hc kinc【10 【11c
cncr4Y IL’I c11^elsnljc

c10b) cno嶝y:E‘(,)l'



m。4卜¨+扫川1+
h【川忪,∽)+瓜心,)r

i”p“I

cl】c哗y‘“)1s¨1e(Id¨1川19 enorgy:E。(Ⅲ‘
d】~Kjpa【cd b~IllcⅥa11 ele【11eIlts、.n‘unle(1

sen吖ahfe

1…)

。lddlIlvc

con【n

bLIIiuIls

E¨and
hlrcllll

厶。h

I℃prc~enII“g Ihe n川y 1ec‘)Ycrahk cias【lc dnd lI】c dl、¨pnllve plasIic 11yslerellc 111e cnc‘gy dlsKjPalcd h, 【l】e

e11e。gy

dIE.),2∑c,¨,∽)j,(,,)d,+:【J,¨,)×
山)j+亩㈨(7,)+小-(¨l眠∽1+小,‘¨惝
w11crc…,lsthcmass 0r Lhc J【h ¨1c d.1111pi“g、alue L}1c relaIjve
ve
1n

eno喈y

E盯1

l‘

ene‘gy thc

d】、siptlllon rcmcnlal rcIilll、c

LlPvlcc‘ 111 Icla【nc t11e
t¨¨c

…叭1ry
11¨1c

analysls
elve

1nc

dnpItIL cnlellt.fel cl
l】I

veloclly
aJe

and

ilcccIcral】t111 …e
lncrc

c.IclI

iIl【eI、,:ll

calcu】aled,and
lx

nlclltaI

gr()Lmd

:【coeIer:Illo【1

k110w“
111

AL ctlnllng“)Ihe 。【huvc 1hc
11 LInleriL‘al

Ncwmark—B
LⅥ1、are

mc L}l‘)d a山’pIeLI
tlllle

IJle

i『1tcg『“I n)r 111e

m】I()Ⅵm#as¨l¨lp【l

h1‘“】7y analy~ls. postuldted…Ihe t…1e

ParI记le.%¨f)l、
iI h

¨1Ierval(,,,,.十△¨
f】l l}1e。lccelcrallnn
avcra2c

JociIv

t11e dalllpl“g Ind【rlx, 。J(f‘J of me,th D』l九lck:△r.(,.)
lh

is

c‘)nKInni,【akcn

H~LIlc
f,

t11e incrcmcntal

displaccmcnl:』¥L,f J
the tmnl

I№gr川11d
IhllnⅥt119

v。【luc 0I

Ihe acceIe J'。lIions。lI 111e 111qIant(1f

accelel-aflnll:Ⅳi s the t‘)tal nunlhcr()r Acco“Iln量to Iun r|LIIas
o“n

Lhc DalIlclcs

And

f+Af
(二)Thc

a‘轧ln、供~on.(he

2mLlIld“cclcⅢi∞v。mc、lineal【vⅢth
reItt川n4
^)rces deV】ceh ot'w州】 V;I。y clclllcnts wllll and 111e

be(k—ved:
1 H

llnlc

1])_I}” cncrgy

龃^】=去∑【‘(,H)+F,(,,)峪(r,J(m)
。卢l
l 』

cll~sjpaIh)Il

linearly

rcl cI e Jve dlsnlacenlcllt Accordjllg ()hI。11ncd ¨11ere
t【1

【J1c rirs L 111e

usbuIllpIlL虬

1I】

Ihc


lK

…1clva】《,,,+^『l

f0】l()w¨19

f()rImllas

ho

△£∥)=去∑【R,(,,1)+尺,(,,)脚,(,,)(14b1
,,(,,)
1~¨1e 1℃I101in£fnl℃e
Ih

of

Ihe

nll

0(,。¨1)=圭【2辟(,,)}+沁(,,)}j


HIru“ura】

clcmcn【

△:.【,.)

Ihc

lncrcmcnhl

dc^1rmati‘)n t订1hc Jth s’ructural clcmcm:

K,(f,1

1~

lk

e~10nn卫force of 111e/Ih e11ergY dis≮ipaIlon devlce, l、Ihe lncrcIlleIlt。【l delunn叭IoI】()J tllc,Iil dlsⅢpdtl()n dcvjcc:ⅣjK fhc“)Ial mlmher(1f thc
ls

矗∽¨)}=伽,)L上;臣冲(¨}+性“,)}】川1h)
w11cm
,Irt

凸f,,【,,)
cncr4v

~tIuctljr“l eleInenls:L

fhe tot|ll J1u【】1beI ofthe IO【a【eIlergv ol【hc

cnel2v

{丛i(,i)1
lnillrIx

is

the

…c㈦ncnml
I()

lcla【lvc

dlsslpaLlon devlces
cHn

1 he

s【rL¨Iurc

clcl。ItiL)n

AccoI.dlll2

thc

secnnd

bc 0blamcd by addlng“p【hc
na rIlc】cs

cn。理y dlsslpa【cd hy

。I、H…叫…1…e mll‘1wm旦f0Ⅲ川a

ctm he nha ned:

al|Ihc

i“+~)=t(f,)+——12



甜(,)


fI 2)



△f Ⅵh“c

optimal analysis“)r thc dcs碴n('f cncr鼬

dissipation deVice
△r:(,,J
l】1 1K

me inIerv}“

1ncrcmcnIaI

gr(1und

“ccc Jcf.1110『1

lhc

11【ne

nrget
Lhc九h parLiclc j、

function d1‘sjn:jlioll device 111e“10hI

Fl rsl,lhc

c11cr#v

dl s~jpaIjt)n L1l

c【111sldelc({Thc dvn:u11lc cuulllhriunl cqu』1tl‘)n【)f thc 九11 nl ni Ljc.¨1I“l|I】Ilc【l

S】11ce“1e inlpo王1anI

e11el_£v

ls

hvd一.1、…tc2ratc【l

1n

1hc

conlpnnclll
1s

in oun【ruIl】ng Ihc l℃sp‘)n~c()f【hc
t【1

¨cr、。【1

l,..+△,)wkn

cql(1la),(1lh):lnd(11

、ln wml.h

nccc、saTv

caHY【)u1‘)pnmal a11nh、1‘

扑c儿lhs¨lLIIcdⅢ“1 cu、(9.IJ,(qb),(90)Il"I()lIuwlI啦 “)rf】)l J】;“c。l¨hc dcf_n’c【j:

I【)r ils dcslgn“)()h【ain ihc best 1‘csearch, Ihe Pa—hqlmke

c‘)ntmI enecI ¨1Ⅺ、t
resDoJ】_e.

sucb

“、

dlsDI{IceIllellt.acce】eralioll was£cnerallv Lakcn as【hc

舭,)_屯dfu叫叫¨十;“(f)刈¨【

【甜gcl fun“¨1
st nJcIlll℃s.wjllch

f()r

thc

()D11mal

‘elsmlc

des J£【1

¨r Il

is onlv’uilablc Iur chsIiL anulvHls
lcc()2 n17ed,however_1haI IO

,,,+淞∽J]

has bccn wldclv

lhe c、,eh订

Ktructural damage due
o『1lv n11¨]e

eanhql Jakes dnes
1℃IDOI¨e i【【ld

11眦de衅11d
lhaL
Lhc

『11|lxlIlluIn

“】n】ukjljve

(1aIT】。12e

re吼I】【ln4

lr()111

dlsslnaIcd

万方数据  

二32

EARTHQuAKE ENGINFFRING AND ENGINEERlNG VIBRATTON
should be taken into

hvstereIic

ener2v

accoullt

Thcrclore.Ihe damage index.a lilleal-combinaIiOn of the maxlnl
LInl res"onsc

and

the

accumuIa“ve

A:生±兰!

c18)

d J‘slpaIed
Iar2et

cncrgy【Park and A“昌1985),is taken a“he Ft)r a hlnction slmcful‘al member. iI is
as

∑(F。忧.。)
f=1

exnrcs~ed

f0儿Ows

where目"and丘f
strain energy of (1 5

are

Ihe j【h

11ysIerctiL menlbeL

ene唱y,eiastIc
rcspeclively
io

thc

D:垒+jLfd£。
占。
whcre

Q、6。J



0hv¨)usly,the alnl of thc optinlal the minjmum damage i11dex

analy硝s is

nnd

is thc maxinluIn deformaLlun of the 6.. 刚mcturc Lmder eaⅢhquake, 6,. is the ultima【e defornlat“)n Lmder mon州onic l()adtI】2: 掣v js thc is山e lncremental calcuIaIed vield sIren2lh: d F。 ahs()rhcd hy刚ereIic encogy, follows



Vermcation
example

0f the models and numerical

7.1
ln

Shaking tablc tests
ordcr L0 exaInlne tne slrucIure.



is



non—ncganve s11t

selsmlc口roDe九les shaking tablc
tesIs

0t

t hls

paIallle{eL clpressed

as

shear
oul

wall A

were

c枷ed
¨7+


I巧.scak modej of l(Lscnrv shcar wall

∞3
,d







strucIure




0 3

4p

0 7p

wiIh(he heigh“wldth raliO 0f 5 6 was lestcd

¨

、 降,
U6

0ne甜it was built m the cen忙r()f Lhe shear wall.where


balld oF ruhhcr was nIIed jn and four s【eel bars were
On

where

P/d

is

f/d<l 7);,垴ls
ralIo as a

lhe shear sDan raljo frepJaced hy l 7 lj- lhe nomla¨zcd axial stress

penetrate the mbbcr belt dimensions and deIajls ol inte卜storv reinforcements are shown in Fig 6 Micro—c()ncrcLe and

placed

each们oorlcvel【o

The ovcrall

mild sLeel wires were used model fIhe Thc

in the consInJctiOn of thc venjcallv.sL0ry bv of
stOrV

(roplaced by O 2 if”f)<O and

p。

2):pf is Ihe lo”gitudinal s【eeI peⅣenla嚣(replaccd by 0.75%jf n<0 75%): is fhc connnement r越j() For the Overall
as

model was
of

cast

desiⅡn and cons【rLIction sinlilltude

the modeI meL

t11e

stTu“u陀.h is renTesen记d

requlrcments

Ihe【)rv.The

acceleraIion

follows

record【)f El Centro eanhauake wave.

N—S(194f"was uscd as【he iIlput m che dumIi‘)n which was relation幽ip
A of

D『=∑A,D,
where Dl
Is

(17)

condensed a11d t11e acceleratlon arllDliIude was scaled according m mc similiIude
group

eanhquake waves werc inpuL with fhe following peak Lhe

damage jndex of the fIh meInber;^“

values

or【}le Iab】e

acce】eration(PTA)i11

sequence:

0 2339,0.4669,0.9329,l 29,and l 69 Rubklbcl

l,一
L.J

;4




《l


E__]1

导} 4}
500

@60

[E二兰面
1旷@6【l 80 4x矿
416

S㈣5㈣

14、II,

9“)

Ca、 F。g 6

(b1

fcl nts

1)e㈨IH()re【Ie‘gy

diss‘patlon

shcal.wa】|m‘)del(a)wall pallel,(b)elevatlon ofmodel:(c)1nIer-xt‘’n wall陀l【lforcc T1lc

万方数据  

型!.:

!型!£旦!!翼!!!!!!::!!!!!!!!!!!!!!坚!!!,!!!!!!£!!!!!!!!£型:!!:!!!!!兰型!!!!!竺!!.!!!!!!!!!!!!
Thc dclajIcd

!!:!
exclla【lon was

l“L re~ulls suhiected
cIa刚ic

can

be

fo L】nd e1‘ewhel℃ conclLJsioI博were

肌)dcl
sfudied 1he

Lmdcr E】Centlo To
acc‘)unt

N—S(j94()1

(Lu and

Wu,J996)Thc
ln

lollowillg
t()a

lOr Ille
ttl are

danla2e accurnulati()n()l

oblamed:Ⅶhell

sln刚I carIhuuakc.Ihl5 and hehdvcd lIkc
an

1110de】q】biected

cach car山u L】ake,Ihe internal kent m thc

111n出1
lhc wa¨

was

Itage

mrces.deiomlations
cnd t)l'cach Ⅲpul l he
as

daIa川b

aI

Ille
arc

ordinarv、oljd shear wall sln】cture.w11ich ll”nlied thaI

scisn】lc wave

T|1en.1hese

rec【1rds

c{1c“o】'、crljc州鲥l
was
verv

uI】lhe whcn

j曲训s“mles s
Lo
a 1n

of me
s盯u119

fheⅢJli划、削ucs J(盯l}陀fo】】owjllg eaHhquake of danlage. ¨1c
are

sma】l:
enel gv

subjccLcd

Dr口cess

timc

hislorles Thc

of
LlIllc

earIhqL】ake.fhe

dissination devIccs

Lhc sli



acceleraIioll and dIsnlacelllenI

ohlalncd
a Jld

IinI moⅥ山inI¨ine J扎【ic slaIe.causiI堆a 【_educ{10n 1mposed in latcra】sIl九ncss force《a11d whlcll

sig州“cant Ihe

hist()rlcs(1f thc I_cl“【】vc accelera【ion
on

disnlacelllenI

deoreased

Ihe

IoD

ston l¨1deI.fhe ear“1quakcⅦ儿h Ihc P11A ol II
can

selsllllc

11cw幽car wall mudel djssl口aIcLI seislllic rIlhhe^ defomlatlo n_ thc viclding oI
Denetr。…nn thc l-uhher 11el【,n 1ction and nIbbeI hcl【.i e,11s
ener2v

i“pⅢxeismlc c11c。gy.thc ener口v bv Lhc bars

0.23)£and 1 62。Ifc hhowIli J1 Fi口7to Fig 10 found that t11e c()111pukd wjlh the 1e甜ed
one‘ Js s0

hc

curvcs曲uw 2u叫“2reeIlle【1t
1a”ge that the t11e I he shea『- faIio of

helwccn

concrcIo capaclIv

The aspecI raIio of Ihis Inodel ncxural KsDunse is
lh

dissipatlon

d01nilla

nI

and

w“s Inudl enllanced. cn。曜y d“s‘p址Ion
sf rLlclule 、【】L¨I Llre, ale

rherefore

the【11echanical

and

dc^1rnlaijt)n()r thc wall sheal-def01.nlation
10

rcla【lvcl~s¨1a】l

me曲aIlis【1ls
fi‘)m
seIsIn Jc

0I、111is 11ew shear wall th‘)sc ol t11e urdinarv

the overall latcIal disDlaccmcn【ls

dlffcrcnl I【s

incleaIed witjl lhe i11crea‘e of I】1e PTA whjch rencllcH 7 8%undclLhc 1 6e
strongcsI

aIltl

capaclly

nlpmves

eii【rLhLlLIakeⅦilh llle p IA of
c【1nccnLraks even

¨gnlflcanlly 7.2 N0nI¨near earthquake response analysis Eacll elemenIs piece()f
nne

F1lIthernlnle,Ihe shear defbnnali‘)n

u11【he bOllOm引0rv where Ille s11ear delorInatIOn

a州ves
wall waU

aI

86%()f fhc ttlta】()nc whcn thc bⅢ¨m wal】
geIs¨1to
occurs

wall is d18pcrscd by ek,mellI f(w each啦orv.and
1n10

Ie【1
onc

of Ihe 1110del delorInatioIl

vieldin2

state ls

whjlc

ihc曲car

in each

sloIv

aIllln科idenfical

ele E11ent is divided

six vel【Ical elementK along tho
resllonse

whcn the wall keeDs elasllc~Ia【e

hurizOnIal(1i1℃c{10n

The nonli『1ear

or

the

【J

(1^

(1 4 一 = 5 I 旦 (J 1






【1二 -0 4

.n^

rlg



AcccIern【1(1n【lmc h1 El(”y¨rthcm(1del underl”pu【PTAt)f0 2’39

万方数据  


qf)

!!幽型!!!!堕!!!型!!i!!!型竺型盟旦坠型旦—一———塑旦
^【) “I

3()

^(J

.U【】 7 5


:二

” "




nb】●l【1a㈨I,1㈤nre州l¨)I。㈣£y dls’1pat…

i%、
——

(1 23j I)”^ 【)U 32 】2I)(】

‘J j !H1() 州)1 1(}3 1

4 9 4


:4 6

{9f} 41I) 44j 40 O

H孙H川



w孙婪孙

揣篡
坚!
inpul energy

H钾”川

m聊㈨



!型
7.j Ener叠y calcuIatiI'n C‘眦、hmcdⅥIIh Jjsh


兰!

兰:





竺:



Iime 『110【fcI

11itt(1rV analY hk、Lhc energy L】『1der eacll ITlelllnd(、ee clastic eanhqLlakc T(1bIe is

0【 Thel‘e凡)rc.hy i11c caIculaIiLm rchulIs L11e e11ergy dissipaIion.111e advantages of 1hjs new lype

c订Khcar wd¨arc t)bvi‘)u, 7.4

Jon“LI【I

uf

【he

nIdIlaI州hv【№:lbove

1)The
are

optimal analysis

v。1Iuc、【1f-{he

kjllcI】c and

sIralll

energy

£enc㈨I|v、n≮ma¨comparcd l()111c omcr Ihc、:lrr

IcrIll~111 al

Whcn
11raclical

ullng

lh】s t11e

ncw 1ype

shcal'wall 0f thc

sLrLloILlre

111

11P刚ecteLj
wnh thc

a1

thc

cnd晰1he eanhquakc Fr【’m
ll】“l 1j】e mja J】n})uf lIlc PTA e11eI‘窖Y iH Si¨ce the

design

ruhhcr

a11d

Ihc

t11c【ah】c】l oHl】hc mcrc“sed
e】lcl卫v

see Jl

dJlne”sIo『1s【1f lhe sIeel har‘pellen+a11119 the 11L1hher hP】t
arc

111crcnxc‘)r

u虬lalIv

deLerIuilled

in adva【1ce

l he
drc

wJdth

of 1J1e

d1IslptlIlL’【1【1evlces

and

V1~c()uH

sljl damplng

and t11e am(1unt nunlhcr()f harK che
confro J

ihc va¨ahlcs

tlis5”l沁“litrF
L“hsll】ilIcd 【hc
KIructt
rc II

p}Irt()』【jlc汹p LlI eIlergH the c11ergy h~lhe 111:lin slructurc lK dccrcascd stl【llal

lhal af把cc dcⅥcc

e舱cc

of Ihc

Thcsc

1wt)D盯mHcr、aTc

ac“、umcd

e【le唱y dIIxlpa“on mr 1n mc

p111Iccle‘1…eanhquakc Thc cnc昭y 【11~Hlna【lL’11 dcvloeh d1^、1Datc cIl J11L'K1 hd¨nf Ihe 1nlal

done anal,sls hereln.T11e oPIinlal l【1r【he pr('101yPe of¨1e fjhove jnode【lIl ihe shakl“g

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万方数据  

塑:!
“fh}e feHfx丁hc HJ州ls

幽坚坐!型业生丛:堂!亚竺!竺!!!!堕鉴型!兰塑坐尘!坐璺!竺!!业!!!!!!!!!业竺!坠
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ou

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¨1de、()J lhc~lrucuJle js
sn

cjnlal

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c㈣be


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ot

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bar‘nenclraljng{he
cncrgv

difk【ence
calcllIa“on
1nlcnⅥ【v
are

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re‘ults undcr
are

Thclclorc.Ihe scismio
cuIves

sIi{dcIcrmlne Ihe s“fnless and disslDaIi011 dcvice index“l and
evel.v

sLreIl州h of r11e

a11

ea九hquake w|1h

TheIe is



sin订1c minlIllunl dama2c
dissiDatioll devicc shoLlld

VIIl
11l

ad01Med Thc danla2e i【1dex when thc wld【h ur

curvc

which i111Dlles thal the sIiffness
cncrgv

sh(1Ⅵn

112 11

nle s¨I

is
aIe

slreIl£t11 of the

cullsLant

and 1hc

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of ha】.s nenctratin2 lhe s¨t
cuI吖es are

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efkcl will decrcase
sIlouId be selectcd

vaIi吼1

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11u

lhc

shown

1n

Flg 12

whcll 1he

nlbel-of

hars is

collsIallI

aJld fhe wldIh oI

re』lsonahlv t()【)bIain 111e oDtlmal effect

扎^

Oj4

(1 55

(1 32

{J5


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g¨

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¨24

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【】25 1 4 “ 8 I(J 12 baI s 14 1b

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of

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0 6

O 5‘

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O 4

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BH、cd
011 c

曲car wall
a11()vc analybis. 【he followlng of thc sIIL 【】unle—cal

call

bo

ehⅢl and
I|1e concIuKl【1ns (1 1 T11e

pIedlcIed hy usi“g thc mwro wal】

n()nljnrHr 11as

sprjng
che

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ul

Js

cu】h儿∽iwn

1110deI

advantagcs

cco【jun“c

n(1n】lncar ctlrlh(1uakc re‘pon~e

c【)mpulaLiun and acc。pIable accul'acy,and it is sul{ahlc

m1 e“霉ineell“譬印pljca【lol】

万方数据  

二16

FARTllOUAK匕ENGINEFRlNG AND ENGINEERING VIBR-^lIO卜

(11

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arc

and

encrzY

dl§siD乱ion

l撇31 40—48. J【an苎HJ an【1 Lu XI。(J Thc HvsIerellc

T11echallisnls

di“crcnI belween fhe

pm口oscd slll
Thc shI hv Lhc

shear w削l a『1d“1c()ldinarv~Olid shea T-、vall

999),“CⅢcul aIjng Mefh(,d』ur
uf Shear

CharacIcrisIlch

幽e}Ir w。llJ dlssipates
cncr£v
clac

Walls

scism记e11e12v

111ainly


L11sslfla¨(m deviccs

whik lhe late

hv

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111e 、『el【ical alo嘴 r)irectiol“Chlnebe∥^¨fⅢ“,一,而,?冀,,∞wf,,_fH. 27f61:54l_545

EI州gy

kin兰anLI crush¨12 {3)Thc caIcLIlaIiull of
e11ernv

di‘Hjpalcd in Ihe s【il

sbear

w柚】

model

】s

car『jed

oⅢ!¨

{he

pmn<)scd

Kwan AKH.Lu XL and Chcun2 Analys“【)I sl“S11ear

YK

flq93).“Ela^“c

nleth()d,Accurdinglv.“I‘found that Lhc sll【sheal'wall h“s hctteI eneI_gV dlsslpa“011 c“p:jcifV thal Kcri(Ⅲ~
can

wa¨‘,”m阳眦IfiDn“¨(J“m“h∥
T曲lc


prcvenI

Sf,“rm愕s,13(2)75 92 Lu XL and

(iamage chall【11c【,fdjIjarv shedr wa¨ ‘eisnllc j


Wu
of


XH(1996),”Shak…g Ncw Type Device,” of S11ear

10引

(4)A
collcl_ctc

damagc Ilsed
lfl

mo此l
dlssinalion

for

re¨1f01ced

and ArⅥIvsis SeiKmic niC Ff

Wal】wi【h J, ,,巾

HIl ucLLlres

Ihe()nIlmal a11aIvsh f01. dcvicc I hls
to

Comr01

P,”(PP删,2等,

111e

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tlf Ihc
on

eIler叠v

PancrNo lO.

Inudel is based thc‘truc【u眦b
In;lxIlllulll

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a11

IroIn

eaIthquakc and the

ls

cm】sed

bv

che

Lu XI。and
lcsn()¨sc

Jamg,HJ,(1998),“ResIstance Analysis of
In[erfacc【订SllearⅥhlls DI‘Kipalln坚

ahsorhcd

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,々r如“il ff7 Chillese) Park Yj and

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encr2v

1he

A向5fmm盯(确iHm

4121

24 l 244(in

dlssiD“IioIl

devjcc should

hc()DLmll£ed bv se】ecIlng thcⅦldm of
exanlnle

An叠AH¨985),“Mechanism of Selsmlc

Ihc“ll洲Ll
The
DaIalllelerx

111e nlJmher of叫cc】bars

nLIlncncal

1)eI】e“州Jn譬me刘Jl imDllcs 【hal Ihese 1wo
Therc iK
an

Dama掣Mud—lor ReⅢforced Crmcrcn”^。J,埘fJ/,∥ Sfr“mImf西l譬i艄F rJ,2等.111(4】:722—739
ScolI RD.Park R and of L。w Priesllev C‘mcrctc a11d High

sh()uld be

moderaIe
fH(J

ODlinlaj

c('n}¨ndfjnn of e11eNe ddn]a坚c【ndex

D㈣Inefers

MJN¨982).
CuI】^ned bv

fof che nlininlunl

“S【rcss s盯ain 0ve一“p plng

Behavinr Houps
al

Stl面n RaIcs‘

AC』J E'l¨J1“f.79(11:13一17

Rcftrences S(1989).“Hy‘teretic shcar Mo出I【tH Reillforced Conclc化Mcmbers,”Jf,“,YⅢ,o,Y
GuIley o and

Ⅵ)lcano Mural

A.

Benem Modelillg
饥“ Lu

VV of

and R/c

Colul【l



(】9881.

“AIlalyllcal

SlrucLural

Walls,”

pm‘f甜}H≈s叫 Wu
XH and

砒c

F F,、『l:4l一46. New ConsIi
LuIlvc

S,rwnf“ff Df片i,zPFrfn卫,115(¨:132

148

XL(19961.“A

sInJctIl心u si“g

11ang HJ

and LI】XL(1 998】,“Analy脚s oj'Sj)eaf、Vajj


Model f01.Non】incar FE
under Cycllc

AnaJv蛆s of R C

Shear

Wall
j州

bpe

or

walI E1ement(chmc*c),”

l』(1adj“g,”
on

PmrPPdⅢ舻



E(1“itqHHkF EnRtnee,ing£Hld Enginccing vibrt¨H"}

As江PncUk Cm啦化ncc
Seoul.Korea

c£)}nj川mtmn“Merhnmfx

2.1477一j482

万方数据  

Nonlinear earthquake response analysis and energy calculation for seismic slit shear wall structures
作者: 作者单位: 刊名: 英文刊名: 年,卷(期): 被引用次数: 蒋欢军, 吕西林 State Key Laboratoryfor Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China 地震工程与工程振动(英文版) EARTHQUAKE ENGINEERING AND ENGINEERING VIBRATION 2002,1(2) 1次

参考文献(10条) 1.Guney O;Murat S Hysteretic Shear Model for Reinforced Concrete Members[外文期刊] 1989(01) 2.Jiang HJ;Lu XL Analysis of Shear Wall Structures Using a Type of Wall Element(Chinese)[期刊论文]地震工程与工程振动 1998(03) 3.Jiang HJ;Lu XL Calculating Method for The Hysteretic Characteristics of Shear Walls Dissipating Energy along the Vertical Direction(Chinese) 1999(06) 4.Kwan AKH;Lu XL;Cheung YK Elastic Analysis of Slit Shear Walls 1993(02) 5.Lu XL;Wu XH Shaking Table Test and Analysis of a New Type of Shear Wall with Seismic Control Device 1996 6.Lu XL;JaingHJ Resistance Analysis of Shear-transfer Interface of Shear Walls Dissipating Energy along Vertical Direction(Chinese) 1998(02) 7.Park YJ;Ang AH Mechanism of Seismic Damage Model for Reinforced Concrete 1985(04) 8.Scott BD;Park R;Priestley MJN Stress-strain Behavior of Concrete Confined by Overlapping Hoops at Low and High Strain Rates 1982(01) 9.Volcano A;Bertero VV;Colotti V Analytical Modeling of R/C Structural Walls 1988 10.Wu XH;Lu XL A New Constitutive Model for Nonlinear F.E. Analysis of R.C. Shear Wall under Cyclic Loading 1996

本文读者也读过(10条) 1. 蒋欢军.吕西林.JIANG Huan-jun.LU Xi-lin 新型抗震耗能剪力墙地震耗能计算及优化分析[期刊论文]-同济大 学学报2000,28(4) 2. 蒋欢军.张新华.JIANG Huanjun.ZHANG Xinhua 碳纤维布加固钢筋混凝土梁试验研究[期刊论文]-四川建筑科学 研究2006,32(5) 3. 丁阳.李楠.李忠献 Seismic Analysis for Rigid-Framed Prestressed Reinforced Concrete Bridge in Tianjin Light Railway[期刊论文]-天津大学学报(英文版)2004,10(4) 4. 赵绍文.王凌晖.蒋欢军.秦小玲.卢林.覃广战.Zhao Shaowen.Wang Linghui.Jiang Huanjun.Qin Xiaoling.Lu Lin.Qin Guangzhan 巨尾桉枝叶水浸提液对3种作物种子萌发的影响[期刊论文]-广西科学院学报2000,16(1) 5. WANG Yiqun.TENG Xiangquan.AN Guoting Earthquake Analysis for the System of RC Building with a Steel Tower[期刊论文]-天津大学学报(英文版)2005,11(5) 6. Yang Cheng.Zhao Renda Improved Capacity Spectrum Method Using Structural Inelastic Response[期刊 论文]-西南交通大学学报(英文版)2006,14(3) 7. Ashutosh Bagchi A simplified methd of evaluating the seismic performance of buildings[期刊论文]-

地震工程与工程振动(英文版)2004,3(2) 8. 蒋欢军.吕西林.卢文胜.李帧章.廖旭钊.JIANG Huan-jun.LU Xi-lin.LU Wen-sheng.LI Zheng-zhang.LIAO Xuzhao 广州南航大厦模型地震模拟振动台试验研究[期刊论文]-四川建筑科学研究2001,27(1) 9. Xufeng Mi.Lin Wang.Guobao Zhou Analysis Model for Concrete Infill Slit-Wall[会议论文]-2009 10. Wang Fengxia.Ou Jinping Pushover analysis procedure for systems considering SSI effects based on capacity spectrum method[期刊论文]-地震工程与工程振动(英文版)2007,6(3)

引证文献(1条) 1.陈万山 带缝空心保温RC剪力墙耗能性能试验研究[期刊论文]-地震工程与工程振动 2013(1)

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