enclosure 3 random vibration theory (rvt) slides (redacted)generation implementation of random...

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Enclosure 3 Random Vibration Theory (RVT) Slides (Redacted) babcock & wilcox mPower, Inc., a Babcock & Wilcox company

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  • Enclosure 3Random Vibration Theory (RVT) Slides

    (Redacted)

    babcock & wilcox mPower, Inc., a Babcock & Wilcox company

  • generation

    Implementation of Random Vibration Theoryfor Seismic Soil-Structure Interaction

    (Redacted Version)This material is based upon work supported by the Deparlmert of Energy wdor Award Number DE-NE0000583.

    This report was prepared as an account of work sponsored by an agency of the United Ststee a Gove eLNeither the United States Government nor any agency thereof, nor any of their employees, makes any warranty, express or implied, or assumes any legal liability or responsibilty for the aouascy, compleaness, or usefulness of any informaton, apparatus, product, or process disclosed, or represents thatits use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by bade name, trademark, manufacturer, or otherwise does not necessarily const or imply Its endorsement recommendation, or favoring by the United States Government or any

    agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof.

    @ 2013 Babcock & Wilcox mPower, Inc. and © 2013 Bechtel Power Corporation. All Rights Reserved. This document is the property of Babcock & Wilcox mPower, Inc. (B&W mPower) and Bechtel Power Corporation

  • generationm•oer RVT Topical Report

    Presentation Outline

    * Introduction / Background

    * RVT for SSI Analysis

    * Verification

    0 Summary and Conclusion

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 2

  • generation

    mPower 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 [

    ]

    " 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)]

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 3

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    mpo- wer RVT 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 Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 4

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    7ZM~ower RVT Topical Report

    Introduction / Background

    " RG 1.208 permits RVT-based site amplification analysis" RVT has been used in several recent COL applications for site

    response 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 wasthe computer program PLUSH (1977)

    formulated in

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 5

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    mAower RVT Topical Report

    RVT Approach

    The main computational steps in the RVT approach are:

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 6

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    n77iower RVT Topical Report

    RVT Approach

    [

    I

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 7

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    mPower RVT Topical Report

    RVT Formulation

    [

    I

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 8

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    m7Power RVT Topical Report

    RVT Formulation

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 9

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    7mower RVT Topical Report

    RVT Process Steps[

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 10

  • generation

    ITPwer RVT Topical Report

    RVT Process Steps[

    I

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 11

  • generation

    1n1power RVT Topical Report

    [ I[

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and @ 2013 Bechtel Power Corporation. All rights reserved. 12

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    mPower RVT Topical Report

    VERIFICATION

    Earlier Discussion on[ ] (May 2012)

    RVT Topical Report Examples

    [

    I

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 13

  • generation

    mnPower SASSI2010 - RVT

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 14

  • generationmrz.ower SASSI201 0 - RVT

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 15

  • generation

    mPOWer SASSI201 0 - RVT

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 16

  • generation

    ImPwer SASSI2010 - RVT

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 17

  • generation

    nmPwer SASSI201 0 - RVT

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 18

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    imPwer SASSI201 0 - RVT

    [

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

    19© 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved.

  • generationm•oer SASSI2010 - RVT

    [

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

    20© 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved.

  • generation

    m.7TPower SASSI201 0 - RVT

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 21

  • generation

    m7Pwer SASSI201 0 - RVT

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 22

  • generation

    m7ower SASSI2010 - RVT

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 23

  • generation

    mnAwer SASSI201 0 - RVT

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 24

  • generation

    m7PGwer SASSI201 0 - RVT

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 25

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    mnower SASSI2010 - RVT[

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 26

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    m71Power SASSI201 0 - RVT

    [

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

    27© 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved.

  • generationmfdower SASSI2010 - RVT

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 28

  • generation

    7mPwer SASSI2010 - RVT

    [

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

    29© 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved.

  • generationSASSI2010 - RVT

    [

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

    30© 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved.

  • generation

    7Power SASSI201 0 - RVT

    [

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

    @ 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 31

  • generationm•oer SASSI201 0 - RVT

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 32

  • generation

    mnPower SASSI2010 - RVT[

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

    33© 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved.

  • generation

    mnPower SASSI201 0 - RVT[

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

    34© 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved.

  • generation

    m7Power SASSI201 0 - RVT

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 3S

  • generation

    iPower SASSI2010 - RVT

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 36

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    m1Power SASSI201 0 - RVT[

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

    37© 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved.

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    miPGwer SASSI2010 - RVT

    I

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

    38© 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved.

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    mzPower 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)]

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 39

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    7mPwer RVT Summary

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 40

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    1Power 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)]

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 41

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    m1Power RVT Summary

    [

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 42

  • generation

    mPower RVT Summary

    I

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

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 43

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    V 3wer

    Discussions

    © 2013 Babcock & Wilcox Nuclear Energy, Inc. and © 2013 Bechtel Power Corporation. All rights reserved. 44