発展スペクトルで規定される地震入力を受ける弾塑性１質点系の中央差分法に基づく非定常ランダム応答解析

抄録

This study proposes a time-domain method for evaluating the variance and covariance of the response of an elasto-plastic SDOF system subjected to nonstationary input ground motion modeled using an evolutionary spectrum. The Bouc-Wen model is employed to describe the restoring force, and the central difference method is applied to derive difference equations for the variance-covariance matrix, which are solved without equivalent linearization. The results are then utilized to estimate the maximum response distribution based on the level crossing statistics of the envelope process. The effectiveness of the proposed method is demonstrated through comparisons with Monte Carlo simulations.