Effects of advanced seismic analysis with ARMA models: Assessing damage impact and hysteresis in earthquake time series

Actual records of strong motion acceleration cannot meet engineering requirements.The simulated seismic waves become an equivalent source of seismic wave input.The time-varying autoregressive moving average (ARMA) process is a straightforward and effective method for simulating seismic ground motions.This model can accurately replicate the non-stationary amplitude and frequency characteristics of seismic ground accelerations, making it useful for assessing damage indicators, which are then compared to spectra derived from real seismic records.It is demonstrated that the chosen ARMA(2,1) model and the applied algorithm effectively capture the characteristics of real seismic records, even with the varying frequency content.