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Simulation of earthquake ground motions using autoregressive moving average (ARMA) models
Author(s) -
Polhemus N. W.,
Cakmak A. S.
Publication year - 1981
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290090404
Subject(s) - autoregressive model , series (stratigraphy) , autoregressive–moving average model , acceleration , consistency (knowledge bases) , transformation (genetics) , autoregressive integrated moving average , moving average , time series , variance (accounting) , mathematics , geology , statistics , geometry , physics , paleontology , biochemistry , chemistry , accounting , classical mechanics , gene , business
Parsimonious representations of recorded earthquake acceleration time series are obtained by fitting stationary autoregressive moving average models after a variance‐stabilizing transformation. Simulated acceleration series are then constructed by generating realizations from the fitted stationary models and applying the reverse transformation. As demonstrated on three components of a typical series, the response spectra for the observed and simulated series show good agreement for periods of less than eight seconds. Further, the model parameters for the three components are very similar, suggesting a consistency which could be useful for identifying site‐specific characteristics.