Stochastic process models for earthquake ground motion
In this paper we present a review of stochastic process models proposed for the simulation of seismic ground motion. The models reviewed include those based on filtered white noise processes, filtered Poisson processes, spectral representation of stochastic processes, and finally those based on stoc...
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Published in | Probabilistic Engineering Mechanics Vol. 3; no. 3; pp. 114 - 123 |
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Main Authors | , |
Format | Book Review Journal Article |
Language | English |
Published |
Oxford
Elsevier Ltd
01.09.1988
Elsevier Science |
Subjects | |
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Abstract | In this paper we present a review of stochastic process models proposed for the simulation of seismic ground motion. The models reviewed include those based on filtered white noise processes, filtered Poisson processes, spectral representation of stochastic processes, and finally those based on stochastic wave theory. Mathematical expressions are provided for all models along with comments on their usefulness, advantages and disadvantages.
Together with the review of auto-regressive moving-average models by F. Kozin in this PEM review series on earthquake engineering (June issue), this paper represents an overview of stochastic models of earthquake ground motion, which is hopefully of some use to researchers as well as practitioners. |
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AbstractList | In this paper we present a review of stochastic process models proposed for the simulation of seismic ground motion. The models reviewed include those based on filtered white noise processes, filtered Poisson processes, spectral representation of stochastic processes, and finally those based on stochastic wave theory. Mathematical expressions are provided for all models along with comments on their usefulness, advantages and disadvantages.
Together with the review of auto-regressive moving-average models by F. Kozin in this PEM review series on earthquake engineering (June issue), this paper represents an overview of stochastic models of earthquake ground motion, which is hopefully of some use to researchers as well as practitioners. |
Author | Deodatis, G. Shinozuka, M. |
Author_xml | – sequence: 1 givenname: M. surname: Shinozuka fullname: Shinozuka, M. – sequence: 2 givenname: G. surname: Deodatis fullname: Deodatis, G. |
BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=7219798$$DView record in Pascal Francis |
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Cites_doi | 10.1016/0266-8920(88)90016-1 10.1785/BSSA0600030891 10.1016/0045-7949(72)90043-0 10.1016/0266-8920(86)90015-9 10.1121/1.1918436 10.1016/0022-460X(67)90160-5 10.1016/0022-460X(72)90600-1 10.1002/eqe.4290010107 10.1121/1.1909713 |
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Keywords | power spectrum evolutionary power spectrum nonstationarity simulation stochastic process stochastic field ground motion filtered white noise process filtered Poisson process homogeneity autocorrelation function nonhomogeneity stationarity spectral representation stochastic wave Wave propagation Digital simulation Seismic wave White noise Review Stochastic process Poisson process Structural analysis Seismic load |
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References | Cornell (BIB3) May 1960 Lin (BIB6) 1965; 38 Shinozuka (BIB11) 1972; 2 Iyengar, Iyengar (BIB9) June 1969; 59 Priestley (BIB23) 1967; 6 Lin (BIB5) 1963; 35 Shinozuka (BIB16) 1987 Kozin (BIB17) June 1988; 3 Vanmarcke (BIB20) 1984 Shinozuka, Deodatis, Harada (BIB18) August 31 1987 Priestley (BIB22) 1965; 27 Liu (BIB24) 1970; 60 Housner, Jennings (BIB4) February 1964; 90 Shinozuka, Sato (BIB7) February 1967; 93 Shinozuka, Jan (BIB12) 1972; 25 Shinozuka (BIB15) 1974 Bolotin (BIB2) 1960; II Amin, Ang (BIB8) April 1968; 94 Lin (BIB19) December 1986; 1 Ruiz, Penzien (BIB10) April 1971; 97 Iyengar, Shinozuka (BIB13) 1972; 1 Shinozuka (BIB14) June 1973 Yamazaki, Shinozuka (BIB25) July 1988; 114 Abrahamson (BIB26) March 1985 Tajimi (BIB1) March 1959; 8 Johnson, Kotz (BIB21) 1969 Tajimi (10.1016/0266-8920(88)90023-9_BIB1) 1959; 8 Bolotin (10.1016/0266-8920(88)90023-9_BIB2) 1960; II Cornell (10.1016/0266-8920(88)90023-9_BIB3) 1960 Shinozuka (10.1016/0266-8920(88)90023-9_BIB7) 1967; 93 Lin (10.1016/0266-8920(88)90023-9_BIB6) 1965; 38 Shinozuka (10.1016/0266-8920(88)90023-9_BIB11) 1972; 2 Iyengar (10.1016/0266-8920(88)90023-9_BIB13) 1972; 1 Amin (10.1016/0266-8920(88)90023-9_BIB8) 1968; 94 Shinozuka (10.1016/0266-8920(88)90023-9_BIB15) 1974 Priestley (10.1016/0266-8920(88)90023-9_BIB23) 1967; 6 Shinozuka (10.1016/0266-8920(88)90023-9_BIB16) 1987 Lin (10.1016/0266-8920(88)90023-9_BIB5) 1963; 35 Shinozuka (10.1016/0266-8920(88)90023-9_BIB12) 1972; 25 Vanmarcke (10.1016/0266-8920(88)90023-9_BIB20) 1984 Shinozuka (10.1016/0266-8920(88)90023-9_BIB14) 1973 Yamazaki (10.1016/0266-8920(88)90023-9_BIB25) 1988; 114 Abrahamson (10.1016/0266-8920(88)90023-9_BIB26) 1985 Ruiz (10.1016/0266-8920(88)90023-9_BIB10) 1971; 97 Shinozuka (10.1016/0266-8920(88)90023-9_BIB18) 1987 Kozin (10.1016/0266-8920(88)90023-9_BIB17) 1988; 3 Johnson (10.1016/0266-8920(88)90023-9_BIB21) 1969 Housner (10.1016/0266-8920(88)90023-9_BIB4) 1964; 90 Liu (10.1016/0266-8920(88)90023-9_BIB24) 1970; 60 Iyengar (10.1016/0266-8920(88)90023-9_BIB9) 1969; 59 Lin (10.1016/0266-8920(88)90023-9_BIB19) 1986; 1 Priestley (10.1016/0266-8920(88)90023-9_BIB22) 1965; 27 |
References_xml | – year: 1969 ident: BIB21 article-title: Distribution in Statistics: Continuous Multivariate Distributions contributor: fullname: Kotz – volume: II start-page: 1365 year: 1960 end-page: 1374 ident: BIB2 article-title: Statistical Theory of the Aseismic Design of Structures publication-title: Proceedings of the 2nd World Conference on Earthquake Engineering, Tokyo and Kyoto, Japan contributor: fullname: Bolotin – year: 1984 ident: BIB20 publication-title: Random Fields contributor: fullname: Vanmarcke – volume: 8 year: March 1959 ident: BIB1 article-title: Basic Theories on Aseismic Design of Structures publication-title: Institute of Industrial Science contributor: fullname: Tajimi – volume: 3 start-page: 58 year: June 1988 end-page: 63 ident: BIB17 article-title: Autoregressive Moving Average Models of Earthquake Records publication-title: Journal of Probabilistic Engineering Mechanics contributor: fullname: Kozin – volume: 114 start-page: 1183 year: July 1988 end-page: 1197 ident: BIB25 article-title: Digital Generation of Non-Gaussian Stochastic Fields publication-title: Journal of Engineering Mechanics contributor: fullname: Shinozuka – volume: 94 start-page: 559 year: April 1968 end-page: 583 ident: BIB8 article-title: Nonstationary Stochastic Models of Earthquake publication-title: Journal of Engineering Mechanics contributor: fullname: Ang – volume: 1 start-page: 69 year: 1972 end-page: 78 ident: BIB13 article-title: Effect of Self-Weight and Vertical Acceleration on the Behaviour of Tall Structures During Earthquakes publication-title: Journal of Earthquake Engineering and Structural Dynamics contributor: fullname: Shinozuka – volume: 2 start-page: 855 year: 1972 end-page: 874 ident: BIB11 article-title: Monte Carlo Solution of Structural Dynamics publication-title: International Journal of Computers and Structures contributor: fullname: Shinozuka – volume: 90 start-page: 113 year: February 1964 end-page: 150 ident: BIB4 article-title: Generation of Artificial Earthquakes publication-title: Journal of Engineering Mechanics contributor: fullname: Jennings – volume: 25 start-page: 111 year: 1972 end-page: 128 ident: BIB12 article-title: Digital Simulation of Random Processes and Its Applications publication-title: Journal of Sound and Vibration contributor: fullname: Jan – year: March 1985 ident: BIB26 article-title: Estimation of Seismic Wave Coherency and Rupture Velocity Using the SMART-1 Strong-Motion Array Recordings publication-title: Report No. UCB/EERC-85/02 contributor: fullname: Abrahamson – volume: 59 start-page: 1163 year: June 1969 end-page: 1188 ident: BIB9 article-title: A Nonstationary Random Process Model for Earthquake Accelerograms publication-title: Bulletin of the Seismological Society of America contributor: fullname: Iyengar – volume: 27 start-page: 204 year: 1965 end-page: 237 ident: BIB22 article-title: Evolutionary Spectra and Non-Stationary Processes publication-title: Journal of the Royal Statistical Society contributor: fullname: Priestley – year: May 1960 ident: BIB3 article-title: Stochastic Process Models in Structural Engineering publication-title: Technical Report No. 34 contributor: fullname: Cornell – volume: 97 start-page: 441 year: April 1971 end-page: 456 ident: BIB10 article-title: Stochastic Seismic Response of Structures publication-title: Journal of Engineering Mechanics contributor: fullname: Penzien – volume: 35 start-page: 222 year: 1963 end-page: 227 ident: BIB5 article-title: Nonstationary Response of Continuous Structures to Random Loading publication-title: Journal of the Acoustical Society of America contributor: fullname: Lin – volume: 38 start-page: 453 year: 1965 end-page: 460 ident: BIB6 article-title: Nonstationary Excitation and Response in Linear Systems Treated as Sequences of Random Pulses publication-title: Journal of the Acoustical Society of America contributor: fullname: Lin – year: August 31 1987 ident: BIB18 article-title: Digital Simulation of Seismic Ground Motion publication-title: Technical Report NCEER-87-0017 contributor: fullname: Harada – start-page: 277 year: 1974 end-page: 286 ident: BIB15 article-title: Digital Simulation of Random Processes in Engineering Mechanics with the Aid of FFT Technique publication-title: Stochastic Problems in Mechanics contributor: fullname: Shinozuka – start-page: 93 year: 1987 end-page: 133 ident: BIB16 article-title: Stochastic Fields and Their Digital Simulation publication-title: Stochastic Methods in Structural Dynamics contributor: fullname: Shinozuka – volume: 60 start-page: 891 year: 1970 end-page: 900 ident: BIB24 article-title: Evolutionary Power Spectral Density of Strong Motion Earthquakes publication-title: Bulletin of the Seismological Society of America contributor: fullname: Liu – volume: 1 start-page: 219 year: December 1986 end-page: 223 ident: BIB19 article-title: On Random Pulse Train and Its Evolutionary Spectral Representation publication-title: Journal of Probabilistic Engineering Mechanics contributor: fullname: Lin – volume: 93 start-page: 11 year: February 1967 end-page: 40 ident: BIB7 article-title: Simulation of Nonstationary Random Process publication-title: Journal of Engineering Mechanics contributor: fullname: Sato – start-page: 2829 year: June 1973 end-page: 2838 ident: BIB14 article-title: Digital Simulation of Ground Acceleration publication-title: Proceedings of the 5th World Conference on Earthquake Engineering contributor: fullname: Shinozuka – volume: 6 start-page: 86 year: 1967 end-page: 97 ident: BIB23 article-title: Power Spectral Analysis of Non-Stationary Random Processes publication-title: Journal of Sound and Vibration contributor: fullname: Priestley – volume: 3 start-page: 58 issue: 2 year: 1988 ident: 10.1016/0266-8920(88)90023-9_BIB17 article-title: Autoregressive Moving Average Models of Earthquake Records publication-title: Journal of Probabilistic Engineering Mechanics doi: 10.1016/0266-8920(88)90016-1 contributor: fullname: Kozin – volume: 8 year: 1959 ident: 10.1016/0266-8920(88)90023-9_BIB1 article-title: Basic Theories on Aseismic Design of Structures contributor: fullname: Tajimi – volume: II start-page: 1365 year: 1960 ident: 10.1016/0266-8920(88)90023-9_BIB2 article-title: Statistical Theory of the Aseismic Design of Structures contributor: fullname: Bolotin – year: 1969 ident: 10.1016/0266-8920(88)90023-9_BIB21 contributor: fullname: Johnson – start-page: 2829 year: 1973 ident: 10.1016/0266-8920(88)90023-9_BIB14 article-title: Digital Simulation of Ground Acceleration contributor: fullname: Shinozuka – volume: 93 start-page: 11 year: 1967 ident: 10.1016/0266-8920(88)90023-9_BIB7 article-title: Simulation of Nonstationary Random Process contributor: fullname: Shinozuka – volume: 60 start-page: 891 issue: 3 year: 1970 ident: 10.1016/0266-8920(88)90023-9_BIB24 article-title: Evolutionary Power Spectral Density of Strong Motion Earthquakes publication-title: Bulletin of the Seismological Society of America doi: 10.1785/BSSA0600030891 contributor: fullname: Liu – volume: 2 start-page: 855 year: 1972 ident: 10.1016/0266-8920(88)90023-9_BIB11 article-title: Monte Carlo Solution of Structural Dynamics publication-title: International Journal of Computers and Structures doi: 10.1016/0045-7949(72)90043-0 contributor: fullname: Shinozuka – volume: 1 start-page: 219 issue: 4 year: 1986 ident: 10.1016/0266-8920(88)90023-9_BIB19 article-title: On Random Pulse Train and Its Evolutionary Spectral Representation publication-title: Journal of Probabilistic Engineering Mechanics doi: 10.1016/0266-8920(86)90015-9 contributor: fullname: Lin – volume: 90 start-page: 113 year: 1964 ident: 10.1016/0266-8920(88)90023-9_BIB4 article-title: Generation of Artificial Earthquakes contributor: fullname: Housner – volume: 35 start-page: 222 year: 1963 ident: 10.1016/0266-8920(88)90023-9_BIB5 article-title: Nonstationary Response of Continuous Structures to Random Loading publication-title: Journal of the Acoustical Society of America doi: 10.1121/1.1918436 contributor: fullname: Lin – start-page: 93 year: 1987 ident: 10.1016/0266-8920(88)90023-9_BIB16 article-title: Stochastic Fields and Their Digital Simulation contributor: fullname: Shinozuka – year: 1987 ident: 10.1016/0266-8920(88)90023-9_BIB18 article-title: Digital Simulation of Seismic Ground Motion publication-title: Technical Report NCEER-87-0017 contributor: fullname: Shinozuka – volume: 6 start-page: 86 issue: 1 year: 1967 ident: 10.1016/0266-8920(88)90023-9_BIB23 article-title: Power Spectral Analysis of Non-Stationary Random Processes publication-title: Journal of Sound and Vibration doi: 10.1016/0022-460X(67)90160-5 contributor: fullname: Priestley – year: 1960 ident: 10.1016/0266-8920(88)90023-9_BIB3 article-title: Stochastic Process Models in Structural Engineering contributor: fullname: Cornell – volume: 25 start-page: 111 issue: 1 year: 1972 ident: 10.1016/0266-8920(88)90023-9_BIB12 article-title: Digital Simulation of Random Processes and Its Applications publication-title: Journal of Sound and Vibration doi: 10.1016/0022-460X(72)90600-1 contributor: fullname: Shinozuka – volume: 1 start-page: 69 year: 1972 ident: 10.1016/0266-8920(88)90023-9_BIB13 article-title: Effect of Self-Weight and Vertical Acceleration on the Behaviour of Tall Structures During Earthquakes publication-title: Journal of Earthquake Engineering and Structural Dynamics doi: 10.1002/eqe.4290010107 contributor: fullname: Iyengar – volume: 38 start-page: 453 year: 1965 ident: 10.1016/0266-8920(88)90023-9_BIB6 article-title: Nonstationary Excitation and Response in Linear Systems Treated as Sequences of Random Pulses publication-title: Journal of the Acoustical Society of America doi: 10.1121/1.1909713 contributor: fullname: Lin – volume: 59 start-page: 1163 issue: 3 year: 1969 ident: 10.1016/0266-8920(88)90023-9_BIB9 article-title: A Nonstationary Random Process Model for Earthquake Accelerograms publication-title: Bulletin of the Seismological Society of America contributor: fullname: Iyengar – start-page: 277 year: 1974 ident: 10.1016/0266-8920(88)90023-9_BIB15 article-title: Digital Simulation of Random Processes in Engineering Mechanics with the Aid of FFT Technique contributor: fullname: Shinozuka – year: 1984 ident: 10.1016/0266-8920(88)90023-9_BIB20 contributor: fullname: Vanmarcke – volume: 94 start-page: 559 year: 1968 ident: 10.1016/0266-8920(88)90023-9_BIB8 article-title: Nonstationary Stochastic Models of Earthquake contributor: fullname: Amin – volume: 97 start-page: 441 year: 1971 ident: 10.1016/0266-8920(88)90023-9_BIB10 article-title: Stochastic Seismic Response of Structures contributor: fullname: Ruiz – volume: 27 start-page: 204 year: 1965 ident: 10.1016/0266-8920(88)90023-9_BIB22 article-title: Evolutionary Spectra and Non-Stationary Processes publication-title: Journal of the Royal Statistical Society contributor: fullname: Priestley – volume: 114 start-page: 1183 year: 1988 ident: 10.1016/0266-8920(88)90023-9_BIB25 article-title: Digital Generation of Non-Gaussian Stochastic Fields contributor: fullname: Yamazaki – year: 1985 ident: 10.1016/0266-8920(88)90023-9_BIB26 article-title: Estimation of Seismic Wave Coherency and Rupture Velocity Using the SMART-1 Strong-Motion Array Recordings contributor: fullname: Abrahamson |
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Snippet | In this paper we present a review of stochastic process models proposed for the simulation of seismic ground motion. The models reviewed include those based on... |
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SubjectTerms | Applied sciences autocorrelation function Buildings. Public works evolutionary power spectrum Exact sciences and technology filtered Poisson process filtered white noise process ground motion homogeneity nonhomogeneity nonstationarity power spectrum simulation spectral representation stationarity stochastic field stochastic process stochastic wave Stresses. Safety Structural analysis. Stresses |
Title | Stochastic process models for earthquake ground motion |
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