non-white入力を受ける履歴型多質点系のランダム応答解析

概要

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It is necessary to estimate a probabilistic seismic safety of building structures to a non-white excitation, becase most of expected earthquake motions will have non-white spectral properties for the existence of the ground. In this paper a random response analysis method by Markov chain stochastic model has been extended to non-white excitation input and hysteretic MDOF system case and this extended stochastic model has been applied to a shear type 5-DOF bilinear system to amplitude-nonstationary non-white noise whose predominant period is shorter than that of a linear system corresponding to the hysteretic system. This theoretical method gives a nonstationary probability function P(S) of discretized response state S in force-deflection plane. The comparison between theoretical results and simulation ones based on Monte Carlo method has been made by a nonstationary probability function P(X) of response level X, which is equivalent to P(S). The theoretical results have showed relatively good agreements with simulation ones except for overestimation of the top floor (5th floor). It is expected that this stochastic method will be extended to inputs with longer period components or with frequency non-stationarity.
社団法人日本建築学会の論文
1985-01-30