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ORDERED PEAK STATISTICS THROUGH DIGITAL SIMULATION
Author(s) -
BASU B.,
GUPTA V. K.,
KUNDU D.
Publication year - 1996
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/(sici)1096-9845(199610)25:10<1061::aid-eqe597>3.0.co;2-6
Subject(s) - independence (probability theory) , gaussian , markov chain , statistical physics , amplitude , function (biology) , markov process , joint (building) , mathematics , degrees of freedom (physics and chemistry) , statistics , computer science , physics , engineering , structural engineering , quantum mechanics , biology , evolutionary biology
A detailed knowledge of the seismic response time history in the form of the first, second, third, … largest peak amplitudes is useful to understand the progressive damage in a structure. This information is however not available from the conventionally used response spectra. This paper provides a formulation of the statistics of these higher order peaks by proposing a digitally simulated joint density function for the peaks in a stationary, Gaussian process. A digital experimentation has been done by generating an ensemble of the single‐degree‐of‐freedom oscillator response to several artificial accelerograms, and the corresponding ordered peak distributions have been found to be in close agreement with the predictions based on the formulation in this paper. The peak factors based on the proposed formulation have also been compared with those from the existing formulations based on the Markov theory and on the assumption of peak independence. It has been found that whereas the peak factors from the proposed and Markovian formulations are compatible, the assumption of independence may give reasonable estimates only for the first few orders of peaks.