Identification of a one-dimensional model for a soil-layer–bedrock system during an earthquake

The propriety of adopting a multi-degree-of-freedom lumped mass–spring–dampers system driven by white noise support excitation as a one-dimensional model for a soil-layer–bedrock system during an earthquake is investigated by means of statistical system identification of the model with noisy measurement of the earthquake ground velocity. The present discussion also suggests that this model may not be applicable to all observed earthquake records, since the model itself depends on the statistical nature of the earthquake motion. For appropriate earthquake records, the system identification procedure may be accomplished; then dynamical properties of the soil-layer and the power spectral density for white noise excitation acting upon the bedrock can be estimated as shown in a numerical example.