Björn Isaksen - Design of Hardanger Suspension Bridge

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    Design of Hardanger Suspension Bridge

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    Design team 6 from Bridge Section

    2 from NPRA

    2-3 consultants (Norconsult AS)

    Other specialists in wind engineering

    meteorology, geology and tunnelling,concrete technology

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    General view

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    Box girder cross section

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    Guide vanes and vortex spoiler

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    Inspection and maintenance trolley

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    Towers

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    Cross beams in tower

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    Rock anchors

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    Rock anchor details

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    Main cables

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    Main cables Aerial spinning

    19 strands in each cable

    528 wires in each strand

    Wire diameter 5.30 mm Wrapping: wire diameter 3.5 mm

    Cableguard: Polyethylen (PE) Installation of a dehumidification system

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    Dehudimification system

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    Suspender and sockets

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    Cross section of suspender cable

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    Design basis Wind measurements at the bridge site

    Wind tunnel investigations- Terrain model

    - Section model of the bridge girder

    CFD analysis / numeric simulation of the

    wind flow

    Geological investigations for the towersand the main cabel anchorages

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    Wind tunnel terrain model

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    Buffeting theory of wind load The shape factors are valid for

    fluctuating wind loads as well as formean wind loads.

    Wind fluctuations converts momentarily

    to load fluctuations.

    The bridge girder is a line-like (small

    diameter) object without influence onthe overall properties of the flow.

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    21

    2

    2

    ( , )

    ( , )( , )

    D D

    L L

    S M

    q x t C D

    q x t U C Bm x t C B

    =

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    cos sin 0

    ( , ) sin cos 0

    0 0 1

    y D

    tot z L

    S

    q q

    x t q q

    q m

    = =

    q

    [ ]T

    ( , )x t u w=v andT

    ( , ) y zx t r r r = r

    212

    2

    D

    L

    M

    C DV C B

    C B

    =

    q 12

    2 2

    22

    2

    D D L

    q L D L

    M M

    C D C D C BV C B C D C B

    C B C B

    = +

    B

    12

    2 2

    2 0

    2 0

    2 0

    D D L

    ae L D L

    M M

    C D C D C B

    V C B C D C B

    C B C B

    = +

    C212

    2

    0 0

    0 0

    0 0

    D

    ae L

    M

    C D

    V C B

    C B

    =

    K

    ( , )tot q ae aex t = + + +q q B v C r K r&

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    Flutter derivatives (FD)

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    Stability limit flutter velocity Selberg flutter

    Wind tunnel measurements

    Multimode analysis in frequency domain

    Analysis in time domain (direct timeintegration)

    Analysis in time domain and modal

    coordinates

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    0 0.2 0.4 0.6 0.8 1

    -2

    -1

    0

    1

    2Eigenmodes

    x/L

    i,

    i=zor

    First vertical symmetric

    Second vertical symmetric

    First torsion symmetric

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    0 20 40 60 80 100 120-10

    -8

    -6

    -4

    -2

    0

    2

    V [m/s]

    [deg]