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GMSM Methodology and Terminology

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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  1. GMSM Methodologyand Terminology Christine Goulet, UCLA GMSM Core Members

  2. Plan • Methodology overview • Method Objectives • Solicitation Information • Terminology

  3. 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

  4. 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

  5. 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

  6. 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 …

  7. 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

  8. 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)

  9. 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

  10. 1 CDF 0.5 PDF 0 Nomenclature – EDP distributions Probability EDP Skewed (lognormal) distribution

  11. 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

  12. 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

  13. 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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