| Abstract: | For single-degree-of-freedom systems, this paper presents an explicit solution of response statistics to earthquake excitation modelled by modulated filtered white noise. The modulation is described by the sum of exponentially decaying functions, accounting for non-stationarity of strong ground motion. The solution was obtained by analysis in the time domain using the state-space approach and impulse responses. This solution is reducible to several known solutions for simpler cases. Also, it may be used to develop probabilistic seismic response spectra for design and retrofit of structures, such as highway bridges. |
