Digital filters for simulation of seismic ground motion and structural response

Discrete time series representations for some commonly used relations in earthquake engineering and engineering seismology are presented and the advantages, compared with their continuous time counterparts, are discussed. Seismic source models derived by Brune are presented in discrete time form, as well as a model by Savage, which includes directivity. The discrete time series models are presented as recursive filters (ARMA models) that simplify the simulation process and do not involve the numerical Fourier transform. Furthermore, a demonstration is made of the use of discrete time representations for a SDOF system and their use for the computation of earthquake response spectra.