パルス応答解析と有限共振応答解析による損傷評価に関する研究 : 完全弾塑性型復元力特性をもつ1質点系について

抄録

The authors have presented Ultimate Response Analysis (U.R.A.) by which one can evaluate earthquake responses of structures according to the principle of the ultimate energy equilibrium. In this analysis, response behaviours of structures are classified into the following two extreme typical cases, i.e., monotonic and cyclic responses. The former is calculated by Pulse Response Analysis (P.R.A.) and the latter by Finite Resonance Response Analysis (F.R.R.A.). In this report, an evaluation method of damages of elasto-plastic structures by the U.R.A. is proposed from the comparison of the results of the U.R.A. with those of usual time-history dynamic earthquake response analysis (E.R.A.). The followings are concluded : (1) Damage factor (D_u) by U.R.A. based on the assumption in Sect. 4-3is safe side evaluation as compared with damage factor (D_e) by E.R.A. (cf. Sect. 4-5, Figs.10-13) (2) The damage duration for F.R.R.A. (t^p_<fr>) is given by Eq. (27) as the product of the duration of strong motion above 0.06g acceleration (T_<p6g>) and the duration ratio (t^p) given by Eq. (26). And the number of cyclic response times by F.R.R.A. (n_c) is given by Eq. (28) as the division of damage duration (t^p_<fr>) by the difference time (T_<eq>-T_e). (cf. Sect. 5-3, Fig.18) (3) The damage factor by U.R.A. (D_<fr>) is given by Eqs. (10)-(18). In this research, the authors have presented a method of the quantitative evaluation of damages by U.R.A.