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Seismic response statistics of SDOF system to exponentially modulated coloured input: An explicit solution
Author(s) -
Fu Gongkang
Publication year - 1995
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.4290241006
Subject(s) - impulse response , exponential growth , probabilistic logic , impulse (physics) , time domain , structural engineering , frequency domain , white noise , mathematics , mathematical analysis , engineering , statistics , physics , computer science , classical mechanics , computer vision
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.