Fragility analysis based on maximum entropy reliability under joint limit state
Received:December 02, 2020  Revised:February 18, 2021
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DOI:10.7511/jslx20201202002
KeyWord:seismic  joint limit state  fragility analysis  maximum entropy reliability  fourth moment method
        
AuthorInstitution
何乡 西北工业大学 力学与土木建筑学院, 西安
吴子燕 西北工业大学 力学与土木建筑学院, 西安
贾大卫 西北工业大学 力学与土木建筑学院, 西安
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Abstract:
      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.