ML24306A012

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The Power Journey a Cursory Account of the Recent History of Power Spectral Density Functions in Seismic Input Motion Development
ML24306A012
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Issue date: 10/29/2024
From: Jinsuo Nie, Jose Pires
NRC/RES/DE
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Jinsuo Nie 301-415-6417
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The Power Journey -

A Cursory Account of the Recent History of Power Spectral Density Functions in Seismic Input Motion Development Jose Pires Senior Technical Advisor for Civil/Structural Engineering Division of Engineering Office of Nuclear Regulatory Research, NRC Jose.pires@nrc.gov DOE/NRC Natural Phenomena Hazards Meeting Tuesday, October 29, 2024 DISCLAIMERThe findings and opinions expressed in this presentation are those of the authors and do not necessarily reflect the view of the U.S. Nuclear Regulatory Commission.

JS Nie Structural Engineer Structural, Geotechnical, and Seismic Engineering Branch Division of Engineering Office of Nuclear Regulatory Research, NRC Jinsuo.nie@nrc.gov

Outline

  • Background
  • The evolution of NRCs Standard Review Plan (SRP) on seismic input motion acceptance criteria
  • A cursory account of the history of RS and PSD in SMC/SIMD
  • One way to meet both PSD and RS criteria
  • Introduction of the NRC/NEA SIMD Workshop in May 2026 Goal Seek a shared reflection of the century-long evolution of response spectra (RS) and power spectral density (PSD) in seismic motion characterization (SMC) and seismic input motion development (SIMD) 10/29/2024 2

Background:

RS Matching Criteria Alone are Not Adequate RS/ISRS Frequency (Hz)

Spectral Acceleration (g)

ZPA: Zero Period Acceleration ISRS: In-Structure Response Spectra RS ZPA on ISRS 3

10/29/2024

RS ZPA on ISRS in 3D Fo ISRS value at the oscillator frequency Peak ISRS 10/29/2024 4

Very Similar RS but Vastly Different ISRS (5 Hz - 15 Hz) 10/29/2024 5

Comparison of PSD from 5 Hz to 15 Hz 6

T2 - Broadband T3 - Broadband with 5-15 Hz Cut The red solid curve is the smoothed PSD The dotted curve is the raw PSD The solid piecewise linear curve is the target PSD The dashed piecewise linear curve is 80% of the target PSD 10/29/2024

7 8

12 39 45 1975, Rev. 0 1981, Rev. 1 1989, Rev. 2 Option 1 (PSD)

Option 2 2007, Rev. 3 Option 1

- Approach 1 (PSD)

- Approach 2 (PSD if RS > 130% DRS)

Option 2 2014, Rev. 4 Option 1

- Approach 1 (PSD)

- Approach 2 (PSD)

Option 2 Comparable to Rev. 4, Option 1, Approach 1 Without PSD check SRP Section 3.7.1 Revision History 7

Kennedy and Shinozuka (NUREG/CR-5347, 1989)

McGuire, Silva, and Costantino (NUREG/CR-6728, 2001) 10/29/2024

1925 2025 1950 1975 2000 RS and PSD in SMC/SIMD in a Century

Background

SRP (1975)

Rev. 0 SRP (1981)

Rev. 1 SRP (1989)

Rev. 2 NRC/NEA (2026*)

SIMD WS SRP (2007)

Rev. 3 SRP (2014)

Rev. 4 Numerical, Graphical, Mechanical, Electrical Suyehiro (1926)1 Seismic Vibration Analyzer of 13 pendula (Japan)

Fortunate Convergence Suyehiro Lectures (1931)1 Caltech UCB Housner (1941) 1 RS Fourier Spectrum for engr. app Newmark (1959) 1 Newmark-beta Veletsos, Newmark, Jenschke, Clough, Penzien, Fisher, etc.

(1960-65) 1 DVA Tripartite Spectra Pseudo vs True Spectra

1. Chopra, 2006. Elastic response spectrum: A historical note, EESD RspMatch, GWM (1978-2023)
2. Chen et. al., 2022. Power spectral models of stationary earthquake-induced ground motion process considering site characteristics, Emergency Management Housner (1947)2 Stationary white noise Kanai (1957)2 Frequency content of recorded motions (K-T PSD)

Tajimi (1960)2 Filtered Gaussian WN (K-T PSD)

Fourier Transform (1807)

PSD (?)

Moayyad, Mohraz (1982)

- Strong motion parts are stationary

- PSDs for soft ground, mediate ground, and hard ground

- Support RVT application

Clough, Penzien (1975)2 K-T Model with low frequency correction Hu, Zhou (1962)2 K-T Model with low frequency correction Gasparini, Vanmarcke (1976)

SIMQKE Scanlan (1977)

Seismic loading:

FS RS PVP2024-125200 PSD+GWM RVT

- A separate topic

- No need for time histories

- Prolific list of references!

10/29/2024 8

Scanlan, Sachs (1974)

TH & RS Biot (1932)1 PhD Thesis

Modal, FS & RS Newmark, Hall Blume, Kapur (1969, 1973)

NPP DRS

One Way to Meet Both PSD and RS Criteria (PVP2024-125200)

Select an initial seed record Use target PSD to replace Fourier amplitudes Use GWM for RS matching FAS RS RS RS Smooth & broad Fourier amplitude spectra (FAS) 10/29/2024 9

The May 2026 NRC/NEA Workshop Seismic Input Motion Development (SIMD) for Analysis and Design of Nuclear Installations Objectives

1) Share the current state of practice in SIMD among member states,
2) Raise awareness of the necessity for PSD checks,
3) Achieve consensus for integration of RS matching and PSD checks, and
4) Explore future activities to completement RS with PSD or other good practices for seismic hazard analysis, seismic load specification, seismic analysis and design, and seismic risk assessment.

Welcome all to join the workshop!!!

10 A convergence of (1) the evolution of the SRP and (2) the decades-long recognition that PGA and RS are incomplete indicators of the damaging capacity of seismic motions.

10/29/2024

Select References Suyehiro, 1926. A seismic vibration analyzer and the records obtained therewith.

Bulletin of the Earthquake Research InstituteUniversity of Tokyo 1926; 1:59-64 Suyehiro,1932. Engineering seismology notes on American lectures. Proceedings of the American Society of Civil Engineers (ASCE) 1932; 58(4):9-110.

Biot, 1932. Transient oscillations in elastic system. Ph.D. Thesis No. 259, Aeronautics Department, California Institute of Technology, Pasadena, CA Housner, 1941. An investigation of the effects of earthquakes on buildings. Ph.D.

Thesis, Civil Engineering Department, California Institute of Technology, Pasadena, CA.

Housner, 1947. Characteristics of strong motion earthquakes. Bulletin of the Seismological Society of American, 37:1931 Kanai, 1957. Semi-empirical formula for the Seismic characteristics of the ground motion. Bulletin of the Earthquake Research Institute 35:309256.

Newmark, 1959. A method of computation for structural dynamics. Journal of the Engineering Mechanics Division, ASCE; 85:67-94 Tajimi, 1960. Statistical method of determining the maximum response of building structure during an earthquake. Proceeding of the 2nd Word Conference on Earthquake Engineering, Science Council of Japan, II: 78198 Hu and Zhou, 1962. The response of the elastic system under the stationary and nonstationary ground motions. Earthquake Engineering Research Report. Chinese Academy of Sciences, pp. 3355 Newmark and Hall, 1969. Seismic design criteria for nuclear reactor facilities.

Proceedings of the Fourth World Conference on Earthquake Engineering, vol. II, Santiago, Chile; 37-50.

Newmark, Blume, Kapur, 1973. Seismic Design Spectra for Nuclear Power Plants, Journal of The Power Division, ASCE, pp. 287-303.

Scanlan and Sachs, 1974. Earthquake time histories and response spectra, J. Eng.

Mech. Div., ASCE.

Clough and Penzien, 1975. Dynamics of structures. New York: Mc Graw-Hill Book Co Gasparini and Vanmarcke, 1976. SIMQKE, a program for artificial motion generation, userss manual and documentation Scanlan, 1977. Technical note on earthquake loadings for structural design, EESD, 5:203-205.

Kaul, 1978. Spectrum-consistent time-history generation, J. Eng. Mech. Div. 104, no.

4, 781-788.

Moayyad and Mohraz, 1982. A study of power spectral density of earthquake accelerograms. Civil and Mechanical Engineering Department, Southern Methodist University, Dallas, Texas Lilhanand and Tseng, 1988. Development and application of realistic earthquake time histories compatible with multiple-damping design spectra, Proc. of the Ninth WCEE, Tokyo, Japan, 2-9 August 1988.

Abrahamson, 1992. Non-stationary spectral matching, Seismol. Res. Lett. 63, 30.

Hancock, et al., 2006. An improved method of matching response spectra of recorded earthquake ground motion using wavelets, J. Earthq. Eng. 10, no. s1, 67-89.

Al Atik and Abrahamson, 2010. An improved method for nonstationary spectral matching, Earthq. Spectra, 26, no. 3, 601-617.

Nie, Graizer, and Seber, 2023. A greedy algorithm for wavelet-based time domain response spectrum matching, Nuclear Engineering and Design, 410(2023).

Nie, 2024. Exploration of the effects of response spectrum matching on power spectral density functions, PVP2024-125200 10/29/2024 11