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A simple model for strong ground motions and response spectra
Author(s) -
Safak Erdal,
Mueller Charles,
Boatwright John
Publication year - 1988
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.4290160204
Subject(s) - response spectrum , random vibration , frequency domain , acceleration , white noise , spectral acceleration , ground motion , spectral line , frequency band , time domain , vibration , peak ground acceleration , simple (philosophy) , noise (video) , mathematics , geology , mathematical analysis , acoustics , physics , statistics , engineering , computer science , seismology , classical mechanics , telecommunications , philosophy , artificial intelligence , image (mathematics) , bandwidth (computing) , epistemology , computer vision , astronomy
A simple model for the description of strong ground motions is introduced. The model shows that response spectra can be estimated by using only four parameters of the ground motion, the RMS acceleration, effective duration and two corner frequencies that characterize the effective frequency band of the motion. The model is a windowed band‐limited white noise, and is developed by studying the properties of two functions, cumulative squared acceleration in the time domain, and cumulative squared amplitude spectrum in the frequency domain. Applying the methods of random vibration theory, the model leads to a simple analytical expression for the response spectra. The accuracy of the model is checked by using the ground motion recordings from the aftershock sequences of two different earthquakes and simulated accelerograms. The results show that the model gives a satisfactory estimate of the response spectra.