A Modified Gaussian Model for Spectral Amplitude Variability of the SMART 1 Array Records

Artificial ground motions, particularly conditional simulated artificial ground motions, are an essential complement to actual earthquake records when designing large-span structures, while considering the spatially varying properties of ground motions. Most existing methods, both conditional and unconditional forms, consider only the simulated ground motion complying with the power spectral densities and the coherence between the spectra of actual ground motions. In this study, the SMART 1 array’s records are regarded as conditional simulated ground motions from its central station. Their periodograms’ amplitude variation processes with the increased separation distance between two locations are studied. The analysis shows that the Gaussian model underestimates the periodograms’ amplitude variation, which can cause significant relative motions between structural supports and is detrimental to large-span structures. A random local power coefficient (LPC) is involved in modifying the Gaussian method. The LPC exhibits a noncentral Wishart distribution. Its statistical model as a function of the separation distance is derived. The LPC preserves the random field’s power spectral density and the spectral coherence relationships of the conventional Gaussian model. Simultaneously, the simulated random field’s periodogram variation complies with that of the SMART1 records. Monte Carlo simulations were conducted in the analysis and validated the modified Gaussian method.

[1]  N. Abrahamson,et al.  Summary of the BA18 Ground‐Motion Model for Fourier Amplitude Spectra for Crustal Earthquakes in California , 2019, Bulletin of the Seismological Society of America.

[2]  Gopala Krishna Rodda,et al.  Spatial variation and conditional simulation of seismic ground motion , 2018, Bulletin of Earthquake Engineering.

[3]  P. Bard,et al.  Spatial coherency analysis of seismic ground motions from a rock site dense array implemented during the Kefalonia 2014 aftershock sequence , 2017 .

[4]  Anastasios Sextos,et al.  Multiple support seismic excitation of the Evripos bridge based on free-field and on-structure recordings , 2015 .

[5]  Yue Zheng,et al.  Conditional simulation of spatially variable seismic ground motions based on evolutionary spectra , 2012 .

[6]  Aspasia Zerva,et al.  Physically compliant, conditionally simulated spatially variable seismic ground motions for performance‐based design , 2006 .

[7]  T. K. Datta,et al.  Seismic response of a cable‐stayed bridge deck under multi‐component non‐stationary random ground motion , 2004 .

[8]  A. Zerva,et al.  Spatial variation of seismic ground motions: An overview , 2002 .

[9]  Hitoshi Morikawa,et al.  Conditional random fields containing non-stationary stochastic processes , 2001 .

[10]  R. Burdick.  Linear Models in Statistics , 2001, Technometrics.

[11]  Kurtuluş Soyluk,et al.  Comparison of asynchronous and stochastic dynamic responses of a cable-stayed bridge , 2000 .

[12]  Masanobu Shinozuka,et al.  Equivalence between Kriging and CPDF Methods for Conditional Simulation , 1996 .

[13]  Ronald S. Harichandran,et al.  RESPONSE OF LONG-SPAN BRIDGES TO SPATIALLY VARYING GROUND MOTION , 1996 .

[14]  G. Fenton,et al.  Conditional Simulation of Spatially Correlated Earthquake Ground Motion , 1993 .

[15]  M. Novak,et al.  Simulation of Spatially Incoherent Random Ground Motions , 1993 .

[16]  G. Fenton,et al.  Conditioned simulation of local fields of earthquake ground motion , 1991 .

[17]  Fumio Yamazaki,et al.  A Strong Motion Database For the Chiba Seismometer Array and its Engineering Analysis , 1990 .

[18]  J. Penzien,et al.  Multiple-station ground motion processing and simulation based on smart-1 array data , 1989 .

[19]  Dario R. Somaini,et al.  Seismic behaviour of girder bridges for horizontally propagating waves , 1987 .

[20]  Norman A. Abrahamson,et al.  The SMART I Accelerograph Array (1980-1987): A Review , 1987 .

[21]  H. L. Wong,et al.  Response of a rigid foundation to a spatially random ground motion , 1986 .

[22]  E. Vanmarcke,et al.  Stochastic Variation of Earthquake Ground Motion in Space and Time , 1986 .

[23]  Chin-Hsiung Loh,et al.  Analysis of the spatial variation of seismic waves and ground movements from smart‐1 array data , 1985 .

[24]  Joseph Penzien,et al.  Engineering analyses of smart 1 array accelerograms , 1982 .

[25]  D. B. Owen,et al.  Confidence intervals for the coefficient of variation for the normal and log normal distributions , 1964 .

[26]  A. Zerva,et al.  SPATIAL VARIATION OF SEISMIC GROUND MOTIONS , 2002 .

[27]  Hitoshi Morikawa,et al.  An interpolating stochastic process for simulation of conditional random fields , 1992 .

[28]  Aspasia Zerva,et al.  Seismic ground motion simulations from a class of spatial variability models , 1992 .