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generation Implementation of Random Vibration Theory for Seismic Soil-Structure Interaction C 2013 bcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporton. Al resre.

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  • generation

    Implementation of Random Vibration Theoryfor Seismic Soil-Structure Interaction

    C 2013 bcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporton. Al resre.

  • generation

    InPower RVT Topical Report

    Presentation Outline

    * Introduction / Background

    • RVT for SSI Analysis

    0 Verification

    • Summary and Conclusion

    0 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved. 85

  • generation

    ZPO we RVT Topical Report

    Introduction / Background

    " Current practice for seismic SSI analysis utilizes time historiesgenerated to match design response spectra

    " Several methods are available to generate time histories

    • The number of time histories required to obtain a stable meanresponse has been challenged recently in several studies involving SSIanalysis

    " The new ASCE 4 standard to be issued in 2013/2014 [

    I

    " The newly issued draft SRP 3.7.1 asks for closer inspection of powerspectral density before a time history is used for design

    [CCI per Affidavit 4(a)-(d)]

    0 2013 Babcock & Wilcox mPower Inc. and C 2013 Bechtel Power Corporation. All rights reserved. 86

  • generation

    mMo rRVT Topical Report

    Introduction / Background* The choice of appropriate seed time histories for CEUS sites is very

    limited* Structural responses can vary considerably depending on the time

    history used as input, even when the input time histories are matchedto the same design response spectrum

    " For design, mean seismic responses are required" Obtaining stable mean structural responses with limited time histories

    is challenging* The RVT methodology avoids using time histories as input and works

    directly with the design response spectrum

    [[CCI per Affidavit 4(a)-(d)]

    © 2013 Babcock & Wilcox mPower Inc. and Q 2013 Bechtel Power Corporation. All rights reserved. 87

  • generation

    ",PE RVT Topical Report

    Introduction / Background

    " RG 1.208 permits RVT-based site amplification analysis

    " RVT has been used in several recent COL applications for siteresponse analysis and development of GMRS and FIRS

    • The NRC has evaluated the RVT approach used by COL applicants byan independent program based on the RVT approach as reported inSERs

    * One of the early applications of RVT for SSI analysis was formulated inthe computer program PLUSH (1977)

    © 2013 Babcock & Wilcox mPower Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 88

  • generation

    mIPOWe RVT Topical Report

    RVT Approach

    The main computational steps in the RVT approach are:

    [

    I[CCI per Affidavit 4(a)-(d)]

    0 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved. 89

  • generation

    mIPowe RVT Topical Report

    RVT Approach

    I

    [CCI per Affidavit 4(a)-(d)]

    0 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved. 90

  • generation

    JL~wvA RVT Topical Report

    RVT Formulation

    [

    I

    [CCI per Affidavit 4(a)-(d)]

    © 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved. 91

  • generation

    miJower RVT Topical Report

    RVT Formulation

    I[CCM per Affidavit 4(a)-(d)]

    © 2013 Babcock & Wilcox mPower Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 92

  • generation

    mTPowe RVT Topical Report

    RVT Process Steps

    I[CCI per Affidavit 4(a)-(d)]

    93Q 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved.

  • generationRVT Topical Report

    RVT Process Steps

    I

    [CCI per Affidavit 4(a)-(d)]

    0 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved. 94

  • generationRVT Topical Report

    [ I

    I[CCI per Affidavit 4(a)-(d)]

    0 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved. 95

  • generation...... ew...... RVT Topical Report

    --- - IVERIFICATION

    Earlier Discussion on[

    RVT Topical Report Examples

    ](May 2012)

    I

    [CCI per Affidavit 4(a)-(d)]

    © 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved. 96

  • generation

    miPower SASSI2010 - RVT

    [

    ][CCI per Affidavit 4(a)-(d)]

    © 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved. 97

  • generationmr we SASSI2010 - RVT

    I[CCI per Affidavit 4(a)-(d)]

    © 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved. 98

  • generation

    m~ower SASSI2010 - RVT

    [

    I[CMI per Affidavit 4(a)-(d)]

    © 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved. 99

  • generationSASSI2010 - RVT

    I[CCI per Affidavit 4(a)-(d)]

    0 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved. 100

  • generation

    mPower SASSI2010 - RVT

    I[CCI per Affidavit 4(a)-(d)]

    101© 2013 Babcock & Wilcox mPower Inc. and © 2013 Bechtel Power Corporation. All rights reserved.

  • generationSASSI2010 - RVT

    ][CC] per Affidavit 4(a)-(d)]

    1020 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved.

  • generation

    m~Pow SASSI2010 - RVT

    I[CCM per Affidavit 4(a)-4d)J

    1030 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved.

  • generation

    m~ower SASSI2010 - RVT

    I[CCI per Affidavit 4(a)-(d)]

    104© 2013 Babcock & Wilcox mPower Inc. and C 2013 Bechtel Power Corporation. All rights reserved.

  • generation

    SASS12010 - RVT

    I[CCM per Affidavit 4(a)-(d)]

    © 2013 Babcock & Wilcox mPower Inc. and C 2013 Bechtel Power Corporation. All rights reserved. 105

  • generationIn! TTww:• SASS12010 - RVT

    I[CCM per Affidavit 4(a)-(d)J

    106© 2013 Babcock & Wilcox mPower Inc. and © 2013 Bechtel Power Corporation. All rights reserved.

  • generation

    "Inpow SASS12010 - RVT

    I[CCI per Affidavit 4(a)-(d)]

    107© 2013 Babcock & Wilcox mPower Inc. and © 2013 Bechtel Power Corporation. All rights reserved.

  • generationSASSI2010 - RVT

    I[CCI per Affidavit 4(a)-dl]

    108© 2013 Babcock & Wilcox mPower Inc. and © 2013 Bechtel Power Corporation. All rights reserved.

  • generationmPower SASSl2010 - RVT

    I[CCI per Affidavit 4(a),-(4)f

    109© 2013 Babcock & Wilcox mPower Inc. and © 2013 Bechtel Power Corporation. All rights reserved.

  • generationmr we SASSI2010 - RVT

    I[CCM per Affidavit.4(aHd)l

    1100 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved.

  • generation

    in~ower SASSI201 0 - RVT

    [

    I[CCI per Affidavit 4(a)-(d)]

    0 2013 Babcock & Wilcox mPower Inc. and © 2013 Bechtel Power Corporation. All rights reserved. ill

  • generationSASS12010 - RVT

    [

    I[CCM per Affidavit 4(a)-(d)]

    1120 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved.

  • generationSASSI2010 - RVT

    [

    I[CCM per Affidavit 4(arid)l

    1130 2013 Babcock & Wilcox mPower Inc. and C 2013 Bechtel Power Corporation. All rights reserved.

  • generationSASSI2010 - RVT

    [

    I[CCM per Affidavit 4(a)-(d)]

    0 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved. 114

    I -

  • generationSASSI2010 - RVT

    [

    I[CCI per Affidavit 4(a)-(d)]

    © 2013 Babcock & Wilcox mPower Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 115

  • generationSASSI2010 - RVT

    [

    I[CMl per Affidavit 4(a)-(d)] 1160 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved.

  • generationSASS12010 - RVT

    [

    I© 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved. [CCI per Affidavit 4(a)-(d)] 117

  • generationmJ•owe" SASS12010 - RVT

    [

    I[CCI per Affidavit 4(a)-(d)]

    © 2013 Babcock & Wilcox mPower Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 118

  • generation

    m~ower SASSI2010 - RVT

    [

    I[CCI per Affidavit 4(a)-(d)]

    © 2013 Babcock & Wilcox mPower Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 119

  • generationSASSI2010 - RVT

    [

    I[CCI per Affidavit 4(a)-(d)J

    120© 2013 Babcock & Wilcox mPower Inc. and © 2013 Bechtel Power Corporation. All rights reserved.

  • generation

    mIPOw SASSI2010 - RVTI

    I[CMI per Affidavit 4(a)-(d)]

    121© 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved.

  • generation

    mPower RVT Summary

    " RVT has been used extensively for development of GMRSand FIRS

    " A number of Safety Evaluation Reports have endorsed theresults of RVT for site response analysis

    [

    I[CCI per Affidavit 4(a)-(d)]

    0 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved. 122

  • generation

    mnPower. RVT Summary

    [

    I[CCI per Affidavit 4(a)-(d)]

    0 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved. 123

  • generation

    m17n r RVT Summary

    * Obtaining mean seismic responses for design using the timehistory approach would require multiple sets of time histories

    [

    I[CCI per Affidavit 4(a)-(d)]

    124© 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved.

  • generation

    RVT Summary

    [

    I[CCM per Affidavit 4(a)-(d)]

    0 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved. 12S

  • generationRVT Summary

    ][CCI per Affidavit 4(a)-(d)]

    © 2013 Babcock & Wilcox mPower Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 126

  • generationmlower

    Discussions

    0 2013 Babcock & Wilcox mPower Inc. and 0 2013 Bechtel Power Corporation. All rights reserved. 127