任意形状スベクトルを有するランダム地震動に対する非線形応答解析: 統計的RMS法による建築物の非線形応答解析その1

摘要

建築物の設計用地震力に関する計算方法として統計的RMS法を提案して、その精度を限界耐カ計算やMCSと比較する事で高い精度を有する事を確認した。統計的RMS法は、任意形状のスぺタトルを入力に使用できる点、地震動の位相にともなうばらつきを評価できる点に特徴が有る。検討結果を、以下に示す。%Simple non-linear response prediction method (stochastic RMS method) is developed, subjected to the building excited by arbitrary shape spectrum input based on statistical equivalent linearization technique. In this method, equation of motion made with only state variable express displacement and velocity of system without non-linearity term like coulomb slider. These give some advantages, arbitrary shape spectrum, stationary response solution etc. Decision of this method is examined for 10 story model building compared with MCS (Monte Carlo Simulation). When response of building remain linear, both results are similar. When response is non-linear, difference of displacement is under about 20%.