联合极限状态下基于最大熵可靠度的易损性分析

考虑工程需求参数(EDP)的前四阶矩,提出基于最大熵可靠度理论的地震易损性分析方法.基于SAP2000建立钢筋混凝土框剪模型,选择最大层间位移角和最大层加速度衡量结构的联合性能极限状态,建立极限状态方程.不对EDP的分布进行人为假定,在不同峰值加速度(PGA)下计算两种EDP的前四阶矩,并作为约束条件,建立极限状态方程...

Fragility analysis based on maximum entropy reliability under joint limit state

A seismic fragility analysis method based on maximum entropy reliability theory is proposed considering the first four moments of the engineering demand parameter (EDP).A reinforced concrete frame structure model is established based on SAP2000, two EDPs are selected to measure the joint limit state, and the performance-based limit state equation is established.The first four moments of the two EDPs are calculated under different peak ground accelerations (PGA) without the log-normal assumption to establish the maximum entropy probability density function of the limit state equation, the multi-dimensional integral is transformed into a one-dimensional integral, and the failure probability is calculated by the maximum entropy quadratic fourth moment method.A traditional Monte Carlo (MC) method based on the assumption of lognormal distribution is used for comparison.The research shows that:The fragility curves obtained by the maximum entropy method coincide with traditional methods, which verifies the accuracy of the proposed method.The maximum entropy probability density function is used to simplify the integration and the calculation efficiency is high.In the joint limit state, ignoring the correlation of limit states under different EDPs is not conducive to engineering safety.