Introduction

Advanced analysis of a new Advanced analysis of a new cablecable--stayed Danube bridgestayed Danube bridge

GáborGábor JAKABJAKAB PhD StudentPhD Student

LászlóLászló Gergely Gergely VIGHVIGH PhD StudentPhD Student

Prof. László DUNAIProf. László DUNAI SupervisorSupervisor

Methodology Global models Modelling techniques Analysis Submodels Conclusions

IntroductionIntroduction

Introduction Methodology Global models Modelling techniques Analysis Submodels Conclusions

b1

f1

grid work

beff beff

IntroductionIntroductionTotal length: 600 m

Middle span: 300 m

Pilon heigth: 97 m

Girder width: 35 m

Design: CEH Co., Budapest, Hungary

Methodology Global models Modelling techniques Analysis Submodels ConclusionsIntroduction

IntroductionIntroductionBUTE, Dept. of Structural Engineering:

INDEPENDENT ANALYSIS AND DESIGN

• Static

• Stability

• Aerodynamics

• Earthquake

MODEL

• Construction process

• Construction stages

• Service stage

Methodology Global models Modelling techniques Analysis Submodels ConclusionsIntroduction

MethodologyMethodology

Analysis:

Post-processing, Visualisation,

Result evaluation:

Pre-processing:

Introduction Methodology Global models Modelling techniques Analysis Submodels Conclusions

Beam Model #1

(problem-oriented software)

Beam Model #2

(Ansys)

BEAM189

LINK10

BEAM189

LINK10

BEAM4

ModelsModelsMixed Model

(Ansys)

SHELL181

Introduction Methodology Global models Modelling techniques Analysis Submodels Conclusions

Model DetailsModel DetailsPilon cross-section: composite cross-section

Pilon: BEAM189 element

Cable: LINK10tension-only element

Connection: BEAM4

„rigid” element

Prestressing the pilons: beam and cable elements

Grid-work: 3 longitudinal beams

b1

f1

grid work

beff beff

Introduction Methodology Modelling techniques Analysis Submodels ConclusionsGlobal models

• Shrinkage of concrete

Time-dependent material properties

• Relaxation of prestressing cables

Time-dependent temperature load

• Implicit creep option (Generalized Graham)

• Concrete creeping

• Hungarian standard’s function not implemented

Re-defining the creep function after each load step

• Special birth & death option developed

Erection process simulation

Modelling techniquesModelling techniques

Changing materialproperties

Introduction Methodology Modelling techniques Analysis Submodels ConclusionsGlobal models

inactive parts:E = 0

a) before erection of a unit b) after erection of the unit

active parts:E > 0

inactive parts:E = 0

active parts:E > 0

X

Y

Z

MN

MX

X

Y

Z

MN

MX

X

Y

Z

MN

MX

X

Y

Z

MN

MX

X

Y

Z

active elements

active elements

„half-active”elements

inactive elements(E = 0)

active elements

Introduction Methodology Global models Analysis Submodels ConclusionsModelling techniques

Önsúly + totális járm őteher + nagyjárm ő 21. kábelnél

-800

-700

-600

-500

-400

-300

-200

-100

0

100

-200000 -100000 0 100000 200000 300000 400000 500000

Leha

jlás

[mm

]

Modell #1: Rúd1 modell Modell #2: Rúd2 modell Modell #3: Rúd-felület modell

Önsúly + parciális járm őteher középen + nagyjárm ő 21. kábelnél

-1000

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-600

-400

-200

0

200

400

-200000 -100000 0 100000 200000 300000 400000 500000

Leha

jlás

[mm

]

Modell #1: Rúd1 modell Modell #2: Rúd2 modell Modell #3: Rúd-felület modell

Pilot testsPilot tests

Introduction Methodology Global models Modelling techniques Analysis Submodels Conclusions

-1200

-1000

-800

-600

-400

-200

0

0 50 100 150 200

Time [day]

Axia

lfo

rce

[kN

]

a) before prestressing b) after prestressing c) cross girder is built

d) axial force in the lower temporary beam

activation ofthe beam removal of

the beamno additional load;

“creeping” time

My My My

Static analysis Static analysis -- erection processerection process

Introduction Methodology Global models Modelling techniques Submodels ConclusionsAnalysis

-423

8.506

-423

8.505

-423

8.504

-423

8.503

-423

8.864

-962

23.5

4

-962

20.8

4

Nxmax UX: 4.6max UY: 462.4

max UZ: 55.5

Static analysis Static analysis --erection & service stageserection & service stages

Introduction Methodology Global models Modelling techniques Submodels ConclusionsAnalysis

My

-100

-80

-60

-40

-20

0

20

40

60

80

-200 -100 0 100 200 300 400 500

Hossz (Z koord.) [m]

Fes

zülts

ég [M

Pa]

1

2

3 -0.4

-0.4

-0.4

-0.3

-0.3

-0.3

0.4

0

-0.4-0

.4

-0.4

-0.4

-0.4

-0.3

-0.3

-0.3

0

0.4

0.40.40.4

G

S

Code checkingCode checking

Introduction Methodology Global models Modelling techniques Submodels ConclusionsAnalysis

ANSYS 8.0 DISPLACEMENTSTEP=1 SUB =5 FREQ=1.241 PowerGraphicsEFACET=1AVRES=MatDMX =.050822

ANSYS 8.0 APR 15 200405:41:43 DISPLACEMENTSTEP=1 SUB =1 FREQ=.378459 PowerGraphicsEFACET=1AVRES=MatDMX =.016383

Modal & Eigenbuckling analisysModal & Eigenbuckling analisys• Global stability• Earthquake• Aerodynamics

Introduction Methodology Global models Modelling techniques Submodels ConclusionsAnalysis

Mixed model Mixed model -- submodelssubmodels

Introduction Methodology Global models Modelling techniques Analysis Submodels Conclusions

Submodelling techniqueSubmodelling technique

Introduction Methodology Global models Modelling techniques Analysis ConclusionsSubmodels

Static analisys Static analisys -- stress distributionstress distribution

keresztirány

Pilonkonzol bekötési pont

Introduction Methodology Global models Modelling techniques Analysis ConclusionsSubmodels

ConclusionsConclusions

• Static, modal, eigenbuckling, earthquake analysis• Construction process• Construction and service stages

• Useful, efficient software background• Pre-processing, Analysis, Post-Processing• Documentation

• A special modelling technique was developed and used• Beam model• Beam-shell mixed model

Introduction Methodology Global models Modelling techniques Analysis Submodels Conclusions

Thank you for your attention!

Introduction Methodology Global models Modelling techniques Analysis Submodels Conclusions