スリップ型履歴1自由度系のランダム地震応答における塑性率と累積塑性率

概要

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This paper deals with the probabilistic properties of ductility factor and of cumulative ductility factor in the random seisimic response of single-degree-of-freedom systems having slip-type hysteretic restoring force characteristics. The ground accelerations are assumed to have the power spectra proposed by H. Tajimi. Although the expectation and variance of cumulative ductility factor have already been described in the reference 1), the approximate analytical solution of variance is newly derived on the basis of the more consistent theoretical investigation. The procedure of finding the probability distribution of ductility factor from that of cumulative ductility factor thus obtained is explained. The features of increase of ductility factor and of cumulative ductility factor due to the decrease of yield acceleration are investigated. The reliability functions defined by the probability of not exceeding the prescribed ductility factor or the prescribed cumulative ductility factor are derived. The above mentioned several approximate solutions are compared with the digital estimates obtained from the Monte Carlo simulation. The agreements between the theoretical and the numerical results are satisfactory over the wide ranges of related parameters.
社団法人日本建築学会の論文
1988-12-30