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Empirical Improvements For Estimating Earthquake Response Spectra With Random‐Vibration Theory

D. Boore, E. Thompson
Published 2012 · Computer Science

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The stochastic method of ground-motion simulation is often used in combination with the random-vibration theory to directly compute ground-motion in- tensity measures, thereby bypassing the more computationally intensive time-domain simulations. Key to the application of random-vibration theory to simulate response spectra is determining the duration (Drms) used in computing the root-mean-square oscillator response. Boore and Joyner (1984) originally proposed an equation for Drms, which was improved upon by Liu and Pezeshk (1999). Though these equations are both substantial improvements over using the duration of the ground-motion ex- citation for Drms, we document systematic differences between the ground-motion intensity measures derived from the random-vibration and time-domain methods for both of these Drms equations. These differences are generally less than 10% for most magnitudes, distances, and periods of engineering interest. Given the systematic nature of the differences, however, we feel that improved equations are warranted. We empirically derive new equations from time-domain simulations for eastern and western North America seismological models. The new equations improve the random-vibration simulations over a wide range of magnitudes, distances, and oscil- lator periods. Online Material: SMSIM parameter files, tables of coefficients and model parameters, and shaded contour plots of TD/RV ratios for two WNA models.
This paper references
Simulation of Ground Motion Using the Stochastic Method
D. M. Boore (2003)
The Estimation of Minimum-Misfit Stochastic Models from Empirical Ground-Motion Prediction Equations
F. Scherbaum (2006)
Comparing Stochastic Point-Source and Finite-Source Ground-Motion Simulations: SMSIM and EXSIM
D. Boore (2009)
Earthquake Ground-Motion Prediction Equations for Eastern North America
G. Atkinson (2006)
SSMSIM : Fortran programs for simulating ground motions from earthquakes
D. Boore (1996)
An Improvement on the Estimation of Pseudoresponse Spectral Velocity Using RVT Method
L. Liu (1999)
Damping Correction Factors for Horizontal Ground-Motion Response Spectra
W. I. Cameron (2007)
Genetic Optimization Using Derivatives: The rgenoud Package for R
W. Mebane (2011)
Simulation of artificial earthquakes, Earthq
G. R. Saragoni (1974)
Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra
D. Boore (1983)
PEGASOS: A comprehensive probabilistic seismic hazard assessment for nuclear power plants in Switzerland, in Proceedings
N. A. Abrahamson (2002)
Simulation of artificial earthquakes
G. R. Saragoni (1973)
Empirical Attenuation of Ground-Motion Spectral Amplitudes in Southeastern Canada and the Northeastern United States
G. Atkinson (2004)
PEGASOS Refinement Project: An improved PSHA for Swiss nuclear power plants
P. Renault (2010)
Simulation of Ground Motion Using the Stochastic Method
D. M. Boore (2003)
PEGASOS: A comprehensive probabilistic seismic hazard assessment for nuclear power plants in Switzerland, in Proc
N. A. Abrahamson (2002)
Earthquake Ground-Motion Prediction Equations for Eastern
G. Atkinson (2007)
Attenuation and excitation of three-component ground motion in southern California
M. Raoof (1999)
A note on the use of random vibration theory to predict peak amplitudes of transient signals
D. Boore (1984)
Ground-motion relations for eastern North America
G. Atkinson (1995)
Structural Response to Stationary Excitation
A. Kiureghian (1980)
SMSIM — Fortran Programs for Simulating Ground Motions from Earthquakes: Version 2.3 — A Revision of OFR 96–80–A
D. Boore (2000)
The statistical distribution of the maxima of a random function
D. Cartwright (1956)
PEGASOS RefinementProject:An improvedPSHAforSwissnuclearpowerplants, in Proceedings of the 14th European Conference on Earthquake Engineering, Ohrid, Macedonia, 30 August–3 September 2010, paper no
P. Renault (2010)
Stochastic Modeling of California Ground Motions
G. Atkinson (2000)
Staedtke (2006).The estimation of minimum-misfit stochastic models from empirical ground-motion prediction equations, Bull. Seismol
F. 249–267. Scherbaum (2006)
Structural response to stationary excitation, J
A. Der Kiureghian (1980)

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