Simulation of spatially correlated earthquake ground motions for engineering purposes

A new model to simulate spatially correlated earthquake ground motions is developed. In the model, the main factors that characterize three distinct effects of spatial variability, namely, the incoherency effect, the wave-passage effect and the site-response effect, are taken into account, and corresponding terms/parameters are incorporated into the well known model of uniform ground motions. Some of these terms/parameters can be determined by the root operation, and others can be calculated directly. The proposed model is first verified theoretically, and examples of ground motion simulations are provided as a further illustration. It is proven that the ensemble expected value and the ensemble auto-/cross-spectral density functions of the simulated ground motions are identical to the target spectral density functions. The proposed model can also be used to simulate other correlated stochastic processes, such as wave and wind loads.

[1]  Kurtuluş Soyluk,et al.  A stochastic analysis of long span structures subjected to spatially varying ground motions including the site-response effect , 2003 .

[2]  Y. K. Wen,et al.  Modeling of nonstationary ground motion and analysis of inelastic structural response , 1990 .

[3]  H. Hao,et al.  Seismic response of multi‐span simply supported bridges to a spatially varying earthquake ground motion , 2002 .

[4]  Andrew C. Beers,et al.  Monte Carlo Solution of , 1993 .

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

[6]  George Deodatis,et al.  Non-stationary stochastic vector processes: seismic ground motion applications , 1996 .

[7]  M. Di Paola,et al.  Digital simulation of multivariate earthquake ground motions , 2000 .

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

[9]  Hiroshi Tanaka,et al.  Response analysis of flexible MDF systems for multiple‐support seismic excitations , 1990 .

[10]  Masanobu Shinozuka,et al.  Simulation of Nonstationary Stochastic Processes by Spectral Representation , 2007 .

[11]  George Deodatis,et al.  A method for generating fully non-stationary and spectrum-compatible ground motion vector processes , 2011 .

[12]  A. Kiureghian.  A COHERENCY MODEL FOR SPATIALLY VARYING GROUND MOTIONS , 1996 .

[13]  Shie Qian,et al.  Simulations of non‐stationary frequency content and its importance to seismic assessment of structures , 2002 .

[14]  Ayman A. Shama,et al.  Simplified procedure for simulating spatially correlated earthquake ground motions , 2007 .

[15]  G. Deodatis.  Simulation of Ergodic Multivariate Stochastic Processes , 1996 .

[16]  A. Kiureghian,et al.  Response spectrum method for multi‐support seismic excitations , 1992 .

[17]  E. Kausel,et al.  Response spectrum analysis of structures subjected to spatially varying motions , 1992 .

[18]  R. Clough,et al.  Dynamics Of Structures , 1975 .

[19]  F. Sabetta,et al.  Estimation of response spectra and simulation of nonstationary earthquake ground motions , 1996, Bulletin of the Seismological Society of America.

[20]  S. Liao,et al.  A stochastic approach to site-response component in seismic ground motion coherency model , 2002 .

[21]  Robert Jankowski,et al.  A simple method of conditional random field simulation of ground motions for long structures , 2000 .

[22]  A. Bayraktar,et al.  Stochastic dynamic response of dam–reservoir–foundation systems to spatially varying earthquake ground motions , 2009 .

[23]  Masanobu Shinozuka,et al.  Monte Carlo solution of structural dynamics , 1972 .

[24]  Frederic Ward Williams,et al.  Random vibration analysis of long-span structures subjected to spatially varying ground motions , 2009 .

[25]  R. Harichandran,et al.  RESPONSE OF AN EARTH DAM TO SPATIALLY VARYING EARTHQUAKE GROUND MOTION , 2001 .

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