Gmsm methodology and terminology
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GMSM Methodology and Terminology. Christine Goulet, UCLA GMSM Core Members. Plan. Methodology overview Method Objectives Solicitation Information Terminology. Methodology. Propose scenarios (M, r) M=7, r=10 km, m +2 s = + 2 e M=7.5, r=10 km, m +1 s = + 1 e

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GMSM Methodology and Terminology

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Gmsm methodology and terminology

GMSM Methodologyand Terminology

Christine Goulet, UCLA

GMSM Core Members


Gmsm methodology and terminology

Plan

  • Methodology overview

  • Method Objectives

  • Solicitation Information

  • Terminology


Methodology

Methodology

  • Propose scenarios (M, r)

    • M=7, r=10 km, m+2s = +2e

    • M=7.5, r=10 km, m+1s = +1e

  • Select a series of structures (buildings) to be analyzed


Methodology1

Methodology

  • Select pertinent Engineering Demand Parameters (EDPs)

    • Maximum Inter-Story Drift Ratio (MIDR)

    • Others considered, to be discussed:

      • Peak Floor Acceleration

      • Base shear

  • Request ground motion suites for each method of GMSM

  • Perform the nonlinear dynamic analyses (NLDA)

  • Compute the distribution of the selected EDP response


Methodology2

PDF

POC

Median

EDP(=MIDR)

Methodology

  • Compute the Point of Comparison (POC)

    • Rerun structural simulations

    • Based on larger set of records corresponding to the scenario

    • Perform the nonlinear dynamic analyses (NLDA)

    • Compute the distribution of the selected EDP response


Methodology3

Methodology

  • Analysis of results, observations and conclusions

    • Compare results of suites with POC

    • Draw conclusions and recommendations

POC

PDF

Method Y

Method Z

EDP

  • … Repeat the whole procedure for other structures and scenarios …


Method objectives

Method objectives

MIDR for a given M, r, S, and F

1. Full distribution

2. Median only

MIDR for a given M, r, S, F and Sa(T1)

3. Full distribution

4. Median only

  • Applications:

  • Earthquake scenarios

  • PSHA-type integration for building response

  • Applications:

  • Design of new buildings

  • Rehabilitation of existing buildings

  • Performance-Based evaluation


Solicitation this year

19 methods

46 variants

Solicitation this year

Objectives 3 & 4: predict the maximum interstory drift

  • Building B, scenario M7 and M7.5

  • Buildings C and D, scenario M7

  • Building A, scenario M7

  • Four sets of 7 records

    • To match building code requirements (7)

    • To allow larger suites for statistics and research purposes (28)


Nomenclature edp distributions

Mean

Median

Nomenclature – EDP distributions

  • Median: 50 % of entries above, 50% below

  • Mean: sum of all entries divided by the number of entries

PDF

Median

Mean

EDP

EDP

Normal distribution

Skewed distribution


Nomenclature edp distributions1

1

CDF

0.5

PDF

0

Nomenclature – EDP distributions

Probability

EDP

Skewed (lognormal) distribution


Nomenclature ground motions

Generic GMPE

Median

Median + 1 Standard Dev.

Sa(g)

M=7

R=10 km

Soil

98th

percentile

T (s)

T1

m + s

m + 2s

Nomenclature – ground motions

  • Standard deviation s, and Epsilon e

PDF

Median, 

Standard

Deviation, s

m

Sa(T1)

e = 0

e = 1

e = 2


On the scenarios

On the scenarios

  • M 7-7.5 within 20 km often controls the hazard in urban CA

  • Why +2e?

    • To push the structures well in the NL range

    • It is not unreasonable

  • East Bay

  • 2% in 50 average: 1.6

  • 0.5% in 50 average: 2.1


Gmsm methodology and terminology

20%

Relative Contribution

10%

0%

e< -2

-2 < e < -1

-1 < e < -0.5

-0.5 < e < 0

0-10

8.0-8.5

10-20

7.5-8.0

20-30

30-40

7.0-7.5

40-50

6.5-7.0

50-60

60-70

6.0-6.5

70-80

Magnitude

5.5-6.0

80-90

5.0-5.5

Legend

90-100

100-1000

Distance (km)

0 < e < 0.5

0.5 < e < 1

1 < e < 2

2 < e

Seismic Hazard

Disaggregation

Sa(1s) = 0.55g

10% in 50 years (475)


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