Non

linea

r Sim

ulat

ion

of S

uper

N

onlin

ear S

imul

atio

n of

Sup

er

Tall

Build

ings

and

Lar

ge S

pan

Tall

Build

ings

and

Lar

ge S

pan

Brid

ges

Base

d on

Ope

nSee

sBr

idge

s Ba

sed

on O

penS

ees

Xinz

heng

Lu

@ T

sing

hua

Uni

vers

ityLi

nlin

Xie

@ T

sing

hua

Uni

vers

ityYu

liH

uang

@ A

rup

Kai

qiLi

n @

Tsi

nghu

a U

nive

rsity

Che

ng X

iong

@ T

sing

hua

Uni

vers

ityB

o H

an @

Tsi

nghu

a U

nive

rsity

第二

届全国

防灾减

灾工程

学术会

议，哈

尔滨，2013

Out

line

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Pred./Test

Out

line

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Ope

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TBI B

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Gra

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TBI B

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Ope

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U.z

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TBI B

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Chi

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ing

2

El-C

entro

& N

orth

ridge

El-C

entro

PG

A=10

00ga

l

-1.2

-0.9

-0.6

-0.30

0.3

0.6

0.9

1.2

05

1015

2025

3035

4045

Tim

e/s

Top disp/m

Mar

cO

penS

ees

Nor

thrid

ge P

GA=

1000

gal

-2.8

-2.1

-1.4

-0.70

0.7

1.4

2.1

2.8

05

1015

2025

3035

4045

Tim

e/s

Top disp/m

Mar

cO

penS

ees

Nor

thrid

ge P

GA

=100

0gal

051015202530354045

00.

751.

52.

253

Drif

t ang

le/%

Floor

Mar

cO

penS

ees

El-C

entro

PG

A=10

00ga

l

051015202530354045

00.

51

1.5

2

Drif

t ang

le/%

Floor

Mar

cO

penS

ees

Dow

nloa

d U

RL:

http

://w

ww

.luxi

nzhe

ng.n

et/d

ownl

oad/

Ope

nSee

sTH

U.z

ip

F. P

laza H=3

15.4

7m, 6

2 st

orie

s

46,0

28 n

odes

31,5

56 fi

ber e

lem

ents

37,1

60 s

hell

elem

ents

F. P

laza

Gra

vity

and

vib

ratio

n pe

riod

Mar

cO

penS

ees

Rel

ativ

e Er

ror

T 1（

X tra

nsla

tion）

4.99

254.

9261

1.33

%

T 2（

Y tra

nsla

tion ）

3.29

403.

3290

1.06

%

T 3（

Tors

ion）

1.05

11.

061

0.95

%

Gra

vity（

ton）

4.90

894×

105

4.90

894×

105

0%

F. P

laza

Non

linea

r tim

e hi

stor

y an

alys

is

El-c

entr

o PG

A=10

00ga

l

-1.6

-1.2

-0.8

-0.40

0.4

0.8

1.2

1.6

05

1015

2025

Tim

e/s

Top disp/m

Mar

cO

penS

ees

El-c

entro

PG

A=1

000g

al

010203040506070

00.

20.

40.

60.

8

Dri

ft an

gle/

%

Story

Mar

cO

penS

ees

Sha

ngha

i Tow

er (上

海中心

)

H=6

32m

, 121

sto

ries

53,0

06 N

odes

48,7

74 fi

ber b

eam

ele

men

ts

39,3

15 M

ulti-

laye

r she

ll el

emen

ts

Gra

vity

and

vib

ratio

n pe

riod

Mar

cO

penS

ees

Rel

ativ

e Er

ror

T 1（

X ）

9.65

259.

5238

1.33

%

T 2（

Y ）

9.55

119.

4518

1.04

%

T 3（

Tors

ion）

4.79

164.

6847

2.23

%

Gra

vity（

ton）

5.10

738×

105

5.10

738×

105

0%

Sha

ngha

i Tow

er (上

海中

心)

Sha

ngha

i Tow

er (上

海中心

)

Tim

e hi

stor

y an

alys

is

PGA=

400g

al

-1.2

-0.8

-0.40

0.4

0.8

1.2

010

2030

40

Tim

e/s

Disp/m

Ope

nSee

sM

arc

PGA=

400g

al

020406080100

120

140

00.

050.

10.

150.

20.

250.

30.

35D

rift a

ngle/

%

Story

Ope

nSee

sM

arc

Qio

ngzh

ouS

trait

Brid

ge

Qio

ngzh

ouS

trait

(琼州

海峡

)B

etw

een

Gua

ngdo

ng P

rovi

nce

and

Hai

nan

Isla

nd.

Wid

th=3

0km

.

Ave

rage

dep

th 4

4m. M

axim

um d

epth

144

m.

Qio

ngzh

ouS

trait

Brid

ge (琼

州海

峡大

桥)

Tota

l len

gth=

4304

m.

Mai

n sp

an=1

500m

.

Hei

ght o

f mai

n to

wer

=460

m.

Qio

ngzh

ouS

trait

Brid

ge

Pla

nof

Qio

ngzh

ouS

trait

Brid

ge

Mod

elin

g te

chno

logy

Tow

er (P

ier)

and

slab

:

Mul

ti-la

yer s

hell

Cab

le:

Trus

s

Pre

stre

ssL

Ste

el02

（$s

igIn

it）

Link

bet

wee

n pi

er a

nd

mai

n gi

rder：

Equ

alD

OF

Tow

er (P

ier)

and

slab

：

Mul

ti-la

yer s

hell

(She

ll 75

)

Cab

le:

Trus

s（Tr

uss

9）

Pre

stre

ss:

Initi

al c

ondi

tion

Link

bet

wee

n pi

er a

nd

mai

n gi

rder：

Link

Ope

nSee

s m

odel

8,46

2N

odes

, 9,7

12 E

lem

ents

Res

ults Gra

vity

and

free

vib

ratio

n m

odes

Mar

cO

penS

ees

Rel

ativ

e er

ror

T 115

.68

15.2

52.

75%

T 28.

548.

174.

25%

T 37.

557.

254.

00%

T 46.

075.

860.

55%

T 55.

455.

243.

50%

Mas

s (to

n)9.

34×

105

8.95

×10

54.

11%

Res

ults

Non

linea

r tim

e hi

stor

y an

alys

is

El-C

entro

, PG

A=1

10 g

al, T

ime

hist

ory

disp

lace

men

t at t

he to

p of

mai

n to

wer

Res

ults E

l-Cen

tro, P

GA

=300

gal

, Tim

e hi

stor

y di

spla

cem

ent a

t the

top

of m

ain

tow

er

Res

ults E

l-Cen

tro, P

GA

=510

gal,

Tim

e hi

stor

y di

spla

cem

ent a

t the

top

of m

ain

tow

er

El-C

entro

, PG

A=1

000g

al, T

ime

hist

ory

disp

lace

men

t at t

he to

p of

mai

n to

wer

Than

ks!

Than

ks!

Any

Que

stio

ns?

Any

Que

stio

ns?

Dow

nloa

d U

RL:

http

://w

ww

.luxi

nzhe

ng.n

et/d

ownl

oad/

Ope

nSee

sTH

U.z

ip