基于多维性能极限状态的概率地震需求分析

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (1) : 181-187.

论文

基于多维性能极限状态的概率地震需求分析

刘骁骁 1 ，吴子燕 1，王其昂 1

作者信息 +

Probabilistic seismic demand analysis based on multi-dimensional performance limit states

LIU Xiaoxiao, WU Ziyan, WANG Qiang

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文章历史 +

摘要

基于概率地震需求分析（PSDA），分别采用增量动力和非线性时程分析，得到某框架结构的最大层间漂移比和最大加速度响应，通过定义多维性能极限状态的性能水准，计算该结构的多维地震易损性，联合地震动危险性曲线，建立了年平均超越概率的三重积分公式，采用梯形法求得50年内地震需求（漂移）危险性曲线。在此基础上，进行了同时考虑性能极限状态的随机性和相关性对结构需求危险性的敏感性分析。在性能极限状态不确定性中选择适当的变异系数（cidr cpfa）及相互作用因子NIDR，能够使年平均超越概率增加；相比单一极限状态，考虑二维极限状态的年平均超越概率也将提高。研究结果表明，本文所提方法可描述对多维响应参数敏感的结构破坏行为，可获得设计基准期内更加符合实际的结构需求危险性曲线，为震后损失估计提供可靠的理论依据。

Abstract

Based on probabilistic seismic demand analysis, the maximum inter-story drift ratio and the maximum peak floor acceleration of a frame structure were obtained with the incremental dynamic analysis and the nonlinear time history analysis, respectively. Then the seismic fragility curve of the structure considering bi-dimensional limit states was calculated. Combing this fragility curve with the seismic hazard curve, the structural seismic demand hazard curve in service life was gained. The randomness and dependency involved in multi-dimensional performance limit states were taken into account to analyze the sensitivity of the structural seismic demand hazards. The results showed that the proposed method can be used to describe the damage behavior of structures, it is sensitive to multiple response parameters; moreover, the mean annual exceeding probability increases if proper coefficients of variation (cidr cpfa) and interaction factor NIDR are selected; compared with a single limit state, the mean annual exceeding probability also increases considering bi-dimensional limit state. The proposed method provided a reliable theoretical basis for post-earthquake loss assessment.

导出引用

刘骁骁 1,吴子燕 1，王其昂 1. 基于多维性能极限状态的概率地震需求分析[J]. 振动与冲击, 2017, 36(1): 181-187

LIU Xiaoxiao, WU Ziyan, WANG Qiang. Probabilistic seismic demand analysis based on multi-dimensional performance limit states[J]. Journal of Vibration and Shock, 2017, 36(1): 181-187

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