EAK2000 and EC8 Spectrums

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    3o&

    57 , 20082057

    EC8 Evaluation of the Design Spectra of the Greek Seismic Code

    and EC8 based on Greek Earthquake Data

    1, 2, 3,

    4, 5, 6, 7

    :

    8 (EC8).

    , .

    ()

    .

    ABSTRACT : The paper presents the development of mean elastic and inelastic

    pseudoacceleration spectra, based on a representative sample of Greek earthquakes. Thecomputed spectra are then used for the calibration of design spectra of the Greek seismic

    code (EAK) and Eurocode 8 (EC8). The criteria used for the choice and the procedure for

    processing of the seismic records are presented. The records are classified according to the

    soil categories prescribed by each code, and the respective mean spectra are computed.

    Particular reference is made to the role of intermediate-depth earthquake recordings (so far

    very limited in number) in the results, and their significance for the proper calibration of the

    code spectra.

    , ,

    . ,

    ,

    ,

    1. , . /, /, email: [email protected]

    2, , /, email: [email protected], . & , email: [email protected]

    4, & , email: [email protected]

    5, & ,, email: [email protected]

    6, . & ,, email: [email protected], & , email: [email protected]

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    2

    (.. , .).

    ,

    (2000,

    2000) 8 (EC8, CEN 2004).

    (, .)

    .

    .

    :

    ,

    . EC8

    , ,

    . (

    ) ,

    ,

    .

    .

    ,

    , ,

    . ,

    .

    .

    ,

    .

    , ,

    :

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    3

    Mw5.0 R < 100 km

    g 0.10g

    EC8 .

    ,

    5.0 (4.80.10g).

    75 26 30 ,

    25

    12 (THEA7802, KORA8101, AMAA8805,

    KERT9901, RFNA9901 SPLB9901)

    . ( 1)

    , 4.4 6.9,

    50 400 cm/sec2.

    (KYT10602 S10601) (=6.9) (

    66 km) .

    ,

    0.4 1.3 sec

    .

    .

    1 :

    2000 .

    .

    2000

    ( SMA-1)

    (Theodulidis et al., 2004). 2000

    ,

    (Skarlatoudis et al., 2004).

    , ,

    ( , baseline offset .),

    Margaris (1994) Skarlatoudis et al. (2003).

    () ,

    .

    (baseline)

    Hung-Chie (1997). , ,

    , , ,

    --(--2,

    3,

    ). 25 Hz, .

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    4

    , .

    Butterworth

    ,

    (> 2.5 sec).

    Athanassiadou et al. (2005).

    1..

    -

    Lat Long Mw..

    MP..()

    ..(C8)

    g(cm/sec

    2)

    1 1 062078 200321 40.8 23.2 6.5 26 THEA7802 L C 142.56

    2 6.5 26 THEA7802 T 146.943 2 022481 205338 38.22 22.93 6.7 32 KORA8101 L C 229.50

    4 6.7 32 KORA8101 T 274.415 3 011783 124129 38.09 20.19 7.0 35 ARG18301 L B B 173.31

    6 7.0 35 ARG18301 T 142.50

    7 4 032383 235106 38.33 20.22 6.2 26 ARG18307 L 179.81

    8 6.2 26 ARG18307 T 219.20

    9 5 032483 041732 38.18 20.32 5.4 22 ARG18308 L 240.08

    10 5.4 22 ARG18308 T 285.32

    11 6 082683 125210 40.51 23.92 5.1 47 POL18302 L A A 90.76

    12 5.1 47 POL18302 T 49.21

    13 7 102584 094916 36.83 21.71 5.0 9 PEL18401 L A A 166.63

    14 5.0 9 PEL18401 T 172.75

    15 8 091386 172434 37.03 22.2 6.0 12 KAL18601 L B B 229.26

    16 6.0 12 KAL18601 T 263.88

    17 9 091586 114130 37.04 22.13 5.3 3 KAL18608 L 232.79

    18 5.3 3 KAL18608 T 137.11

    19 5.3 3 KAL28602 L B B 159.46

    20 5.3 3 KAL28602 T 254.31

    21 10 101688 123406 37.95 20.9 6.0 20 ZAK18804 L C 133.02

    22 6.0 20 ZAK18804 T 147.23

    23 6.0 28 AMAA8805 L C 84.11

    24 6.0 28 AMAA8805 T 163.62

    25 11 122190 065744 40.98 22.34 6.0 32 EDE19001 L C 100.13

    26 6.0 32 EDE19001 T 94.35

    27 12 032693 114516 37.66 21.39 4.9 6 PYR19306 L C 105.64

    28 4.9 6 PYR19306 T 221.4829 13 032693 115613 37.69 21.43 4.9 10 PYR19307 L 97.98

    30 4.9 10 PYR19307 T 118.01

    31 14 032693 115815 37.49 21.49 5.4 14 PYR19308 L 162.86

    32 5.4 14 PYR19308 T 425.85

    33 15 071493 123149 38.24 21.78 5.6 10 PAT19302 L C 143.74

    34 5.6 10 PAT19302 T 192.49

    35 5.6 9 PAT29302 L C 164.20

    36 5.6 9 PAT29302 T 388.57

    37 16 050495 003411 40.54 23.63 5.3 26 POL19506 L A A 143.17

    38 5.3 26 POL19506 T 101.91

    39 17 051395 084715 40.16 21.67 6.6 16 KOZ19501 L A A 211.73

    40 6.6 16 KOZ19501 T 137.38

    41 18 051595 041357 40.07 21.67 5.1 13 CHR19513 L B 156.98

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    5

    42 5.1 13 CHR19513 T 132.13

    43 19 051795 041426 40.07 21.61 5.3 11 CHR19532 L 116.66

    44 5.3 11 CHR19532 T 130.35

    45 20 051995 064850 40.03 21.62 5.1 12 KRR19501 L B B 185.27

    46 5.1 12 KRR19501 T 261.98

    47 21 061195 185195 39.96 21.58 4.8 5 KRR19509 L 119.35

    48 4.8 5 KRR19509 T 82.8449 4.8 7 KEN19563 L C 125.09

    50 4.8 7 KEN19563 T 100.04

    51 22 080596 224642 40.06 20.66 5.7 8 KON29601 L C 383.68

    52 5.7 8 KON29601 T 381.25

    53 5.7 8 KON19601 T B 168.38

    54 23 111897 130753 37.33 20.84 6.6 48 ZAK19703 L C 114.90

    55 6.6 48 ZAK19703 T 129.44

    56 24 090799 115651 38.15 23.62 5.9 20 ATH29901 L B B 108.06

    57 5.9 20 ATH29901 T 155.55

    58 5.9 15 ATH39901 L B B 258.59

    59 5.9 15 ATH39901 T 297.19

    60 5.9 17 ATH49901 L A A 118.57

    61 5.9 17 ATH49901 T 107.88

    62 5.9 15 KERT9901 L B B 214.35

    63 5.9 15 KERT9901 T 179.51

    64 5.9 36 RFNA9901 L B 87.45

    65 5.9 36 RFNA9901 T 100.20

    66 5.9 14 SPLB9901 L B B 318.29

    67 5.9 14 SPLB9901 T 306.32

    68 25 081403 051454 38.76 20.60 6.2 12 LEF10301 L C 333.4

    69 6.2 12 LEF10301 T 408.6

    70 6.2 24 PRE10302 L N/A N/A 153.2

    71 6.2 24 PRE10302 T 141.5

    72 26 010806 113454 36.21 23.41 6.9 40 KYT10602 L A A 120.4

    73 6.9 40 KYT10602 T 104.1

    74 6.9 41 ANS10601 L B 143.4

    75 6.9 41 ANS10601 T 65.4

    /

    ,

    EC8 (CEN, 2004) 2000 ( ,2000).

    8 (1) (5) (A, B, C,

    D E) (2) (S1 S2),

    / VS,30 (

    30 m ),

    (NSPT) (Cu).

    VS,30, ,

    NSPTCu ( - ).,

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    6

    (

    )

    ( 1:50.000).

    (3) : A (, VS,30 >800m/s), B ( /

    / , 360

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    7

    EC8,

    .

    .

    .

    INELSP-2k,

    ...

    , .

    0.01 sec 2.5 sec,

    (=0.025 sec),

    = 0.20 sec > 2.0 sec.

    (Spa),

    , ,

    EC8. 1

    .

    ( )

    .

    (SI)

    0.1 2.5 sec (Nau and Hall 1984,Kappos and Kyriakakis 2000) ,

    0.5 sec.

    , ,

    .

    ,

    ( 0 30%). ,

    .

    2 1

    ,

    EC8. 2

    ,

    1 2. 12

    , EC8

    (1) .

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    8

    (EAK)

    0

    3

    6

    9

    12

    15

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Spa

    (m/sec

    2)

    =0% =2%

    =5% =10%

    =20% =30%

    A (EAK)

    0

    3

    6

    9

    12

    15

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Spa

    (m/sec

    2)

    =0% =2%

    =5% =10%

    =20% =30%

    () ()

    B (EAK)

    0

    3

    6

    9

    12

    15

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Spa

    (m/sec

    2)

    =0% =2%

    =5% =10%

    =20% =30%

    (EAK)

    0

    3

    6

    9

    12

    15

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Spa

    (m/sec

    2)

    =0% =2%

    =5% =10%

    =20% =30%

    () ()

    1.. () . () A. () . () .

    , 1 2

    : ,

    , 0.20.3

    sec.

    0.4 1.3 sec

    , , ,

    .

    ,

    ,

    . , ,

    . , ,

    ,

    . ,

    . ,

    ,

    EC8. , =5%,

    ( 1 1)

    T=0.01sec (pga) 3.4

    2.4 ,

    EC8 (2 2) 3.6 2.2

    C.

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    9

    (EC8)

    0

    3

    6

    9

    12

    15

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Spa

    (m/sec2)

    =0% =2%

    =5% =10%

    =20% =30%

    A (EC8)

    0

    3

    6

    9

    12

    15

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Spa

    (m/sec2)

    =0% =2%

    =5% =10%

    =20% =30%

    () ()

    B (EC8)

    0

    3

    6

    9

    12

    15

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Spa

    (m/sec

    2)

    =0% =2%

    =5% =10%=20% =30%

    C (EC8)

    0

    3

    6

    9

    12

    15

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Spa

    (m/sec

    2)

    =0% =2%

    =5% =10%

    =20% =30%

    () ()

    2.C8. () . () A. () . () C.

    EC8 - 1

    0

    3

    6

    9

    12

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Spa

    (m/sec

    2)

    =0% =2%

    =5% =10%

    =20% =30%

    EC8 - 2

    0

    5

    10

    15

    20

    25

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Spa

    (m/sec

    2)

    =0% =2%

    =5% =10%

    =20% =30%

    () ()

    3.. () C8 - 1. () C8 - 2.

    3

    EC8 1 (s> 5.5 - 3) 2 (s5.5 -

    3). 2

    ( 0.2 sec)

    , 1

    ().

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    10

    , EC8

    5%

    = 5 %.

    :

    70.7

    2

    =

    + (1)

    EC8 :

    100.55

    5

    =

    +

    (2)

    ,

    4

    5%,

    ( ) =5%

    (1 4 2 4

    EC8). 10%

    . , 1 0.7 (,

    >12.28% =0.7),

    20%

    . EC8 2 (4)

    ( 0.55

    = 0.55 > 28.06%), =30%

    .

    0

    3

    6

    9

    12

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Spa

    (m/sec

    2)

    =2% =2% (EAK)

    =10% =10% (EAK)

    =20% =20% (EAK)

    =30% =30% (EAK)

    0

    3

    6

    9

    12

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Spa

    (m/sec

    2)

    =2% =2% (EC8)

    =10% =10% (EC8)

    =20% =20% (EC8)

    =30% =30% (EC8)

    () ()

    4. 5%: () =5% (): () . () C8.

    5

    .

    (PGA)

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    11

    (EC8 4, 5, 6

    7) (PGA).

    ,

    (PGA = 1 m/sec2).

    ,

    , (

    ).

    ,

    1, 4 17

    . 5

    ,

    . , 5,

    (5),

    0.25sec

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    12

    C

    T>0.50sec, B

    ,

    18

    .

    ,

    .

    ( 6)

    C8 ,

    .

    .

    PGA = 1.0 m/sec2

    0.0

    0.5

    1.0

    1.5

    2.0

    2.5

    3.0

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Spa

    (m/sec

    2)

    :

    :

    :

    :

    :

    :

    = 5%

    ()

    PGA = 1.0 m/sec2

    0.0

    0.5

    1.0

    1.5

    2.0

    2.5

    3.0

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Spa

    (m/sec

    2)

    :

    :

    :

    = 5%

    ()

    5. (=5%)

    , : () () .

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    PGA=1.0m/sec2

    0.0

    0.5

    1.0

    1.5

    2.0

    2.5

    3.0

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Spa

    (m/sec

    2)

    :

    : EC8 - 1

    :

    : EC8 - 1C:

    C: EC8 - 1

    = 5%

    ()

    PGA = 1.0 m/sec2

    0.0

    0.5

    1.0

    1.5

    2.0

    2.5

    3.0

    3.5

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Spa

    (m/sec

    2)

    :

    :

    : EC8 - 1

    :

    B:

    : EC8 - 1

    = 5%

    ()

    6.1 EC8 , C: () () .

    2, 7

    C 0.8 sec,

    T

    .

    (40%)

    (T 0.2 sec),

    T > 0.4 sec.

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    14

    PGA = 1.0 m/sec2

    0.0

    0.5

    1.0

    1.5

    2.0

    2.5

    3.0

    3.5

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Spa

    (m/sec

    2

    )

    :

    : EC8 - 2

    :

    : EC8 - 2

    C:

    C: EC8 - 2

    = 5%

    7. (=5%) 2 EC8 , C.

    EC8.

    . , ,

    (

    Cy=100%).

    (=3.5) ( 8) C

    EC8 (9).

    : ,

    INELSP-2k (8 9) .

    (Kappos, 1999). 5% ( /)

    =5%.

    q(Karakostas

    et al., 2007):

    ,

    2,

    11 5, 0.025 2.5 sec

    (ln )

    y el

    y in

    Cq T

    BCA C T

    = = <

    + +

    (3)

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    15

    , C, A=-0.0297

    B=0.9144 and C=0.0499. , (

    8 9) ,

    , ,

    , , , .

    , 8 :

    , ()

    q=3.5 ( ). , ,

    ,

    ( 2000 )

    (3) (). 8 ,

    >0.35sec

    . , 0.35sec ,

    q=3.5

    . ,

    q

    ( ,

    , ), ,

    (), . ,

    (

    q,

    )

    .

    EAK (PGA = g)

    0

    20

    40

    60

    80

    100

    0.0 0.5 1.0 1.5 2.0 2.5T (sec)

    Cy

    (%)

    (=3.5)

    [q(=3.5)]

    EAK (q=3.5)

    EAK [q(=3.5)]

    Cy,in[q(=3.5)] = Cy,el /q(=3.5)

    8.E()/

    9 8 C

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    16

    1 ( 9) 2 ( 9). ,

    EC8

    EC8 (3). ,

    EC8 (

    ), ()

    ( T

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    17

    9 , C,

    EC8 >0.35 sec

    1 >0.25 sec 2, ,

    , , 1. ,

    , EC8

    .

    0

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    18

    5.

    , ,

    (

    ).

    6. 1 8 (

    )

    C,

    EC8,

    . ,

    (

    8 1)

    .

    7. 2 8

    C 0.8

    sec, T

    .

    ( 40%)

    (T

    0.2 sec), T>0.4sec .

    8.

    (0.4sec

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    19

    CEN (Comit Europen de Normalisation) (2004), Eurocode 8: Design of structures for

    earthquake resistance Part 1: General rules, seismic actions and rules for buildings

    (EN 1998-1), Brussels, May 2004.

    Hung-Chie Ch. (1997), Stable baseline correction of digital strong motion data, Bulletin of

    Seismological Society of America, 87, 932-944.

    Kappos, A.J. (1999), Evaluation of behaviour factors on the basis of ductility and

    overstrength studies, Engineering Structures, 21, issue 9, 823-835.

    Kappos A.J., and Kyriakakis, P. (2000), A reevaluation of scaling techniques for natural

    records, Soil Dynamics & Earthquake Engineering, 20(1-4): 111-123.

    Karakostas, C.Z., Athanassiadou, C.J., Kappos A.J. and Lekidis, V.A. (2007), Site-

    dependant design spectra and strength modification factors based on records in

    Greece. Soil Dynamics & Earthquake Engineering, 27, 1012-1027.

    Nau, J.M., Hall, W.F. (1984), Scaling methods for earthquake response spectra, Journal of

    Structural Engineering, ASCE; 110 (7): 1533-1548.

    Margaris, B.N. (1994) New fast digitization and correction procedures of the Greek strong

    motion records, Proceedings of XXIV Gen. Ass. Eur. Seism. Com., Athens, Greece, II,

    779-786

    .... .... (2000), 2000 (2000).

    .... .... (2000), 2000 (2000).

    Rey, J., Faccioli, E. and Bommer, J.J. (2002) Derivation of design soil coefficients (S) and

    response spectral shapes for Eurocode 8 using the European Strong-Motion Database.

    Journal of Seismology, 6, issue 4, 547555.

    Skarlatoudis, A., Margaris, . and Papazachos, C. (2004). Recent advances in Greece on

    strong-motion networking and data processing, Proc. of COSMOS Workshop in

    Berkeley California, May 25-27, 2004, Cosmos Internet Site.

    Skarlatoudis, A.A., Papazachos, C.B., and Margaris, B.N. (2003), Determination of noise

    spectra from strong motion data recorded in Greece. J. Seismology, 7, 533-540.

    Theodulidis, N., Kalogeras, I., Papazachos, C., Karastathis, V., Margaris, B., Papaioannou,

    Ch. and Scarlatoudis, A. (2004), HEAD 1.0: A Unified Hellenic Accelerogram

    Database, Seism. Res. Letters, 75, 41-51.