极限状态模糊性对地震易损性分析的影响研究:以钢筋混凝土框架结构为例  

EFFECT OF FUSSINESS AT LIMIT STATES ON SEISMIC FRAGILITY ANALYSIS:REINFORCED CONCRETE FRAME CASES

作　　者：于晓辉[1,2] 李越然 宋鹏彦 吕大刚[1,2] YU Xiao-hui;LI Yue-ran;SONG Peng-yan;LÜDa-gang(Key Lab of Structure Dynamic Behavior and Control of China Ministry of Education,Harbin Institute of Technology,Harbin,Heilongjiang 150090,China;Key Lab of Smart Prevention and Mitigation of Civil Engineering Disaster of the Ministry of Industry and Information Technology,Harbin Institute of Technology,Harbin,Heilongjiang 150090,China;College of Architecture and Engineering,Hebei University,Baoding,Hebei 071002,China)

机构地区：[1]哈尔滨工业大学结构工程灾变与控制教育部重点实验室,黑龙江哈尔滨150090 [2]哈尔滨工业大学土木工程学院智能防灾减灾工业与信息化部重点实验室,黑龙江哈尔滨150090 [3]河北大学建筑工程学院,河北保定071002

出　　处：《工程力学》2021年第9期89-99,109,共12页Engineering Mechanics

基　　金：国家自然科学基金项目(51778198);黑龙江省优秀青年基金项目(YQ2020E023);河北省自然科学基金项目(E2017201221)。

摘　　要：合理定义不同极限状态的结构抗震能力是地震易损性分析的关键步骤。然而,极限状态的定义十分依赖工程经验,包含较强的“模糊性”。为此,有必要针对极限状态模糊性对地震易损性的影响开展全面分析。考虑10种隶属函数来描述极限状态的模糊性,考虑不同模糊度的影响,以4个不同高度不同设防烈度的钢筋混凝土框架结构为例,开展了考虑极限状态模糊性的地震易损性分析,采用模糊-概率积分方法推导获得了不同隶属函数对应的地震易损性函数。对比考虑与不考虑极限状态模糊性的地震易损性分析结果,研究了在极限状态模糊性中考虑不同隶属函数和不同模糊度对地震易损性结果的影响,给出了考虑极限状态模糊性修正的地震易损性函数。分析结果表明:采用不同隶属函数考虑极限状态模糊性对地震易损性结果影响较为显著。随着模糊度的提高,不同隶属函数对应的考虑极限状态模糊性的地震易损性分析结果差异也逐渐增加。采用该文提出的考虑极限状态模糊性修正的地震易损性函数可以较好地体现极限状态模糊性对地震易损性的影响。It is a key step to determine the structural capacity at different limit states for a seismic fragility assessment.However,limit state definition is highly dependent on engineering practices,which includes strong fuzziness.Therefore,it is necessary to conduct a comprehensive study on the influence of fuzziness at limit states in a seismic fragility assessment.This study performs a seismic fragility assessment by considering fuzziness at limit states,where ten types of membership functions are considered with varying fuzziness levels.Four reinforced concrete frame structures with varying heights and fortification levels are taken as the study cases.The fuzziness-probability integration is adopted to derive seismic fragility functions corresponding to different types of membership functions.The seismic fragility results with and without considering fuzziness at limit states are compared to extract the effect of limit state fuzziness with considering varying membership functions and different fuzziness levels.Moreover,the modified seismic fragility function considering limit state fuzziness is derived.The analysis results show that different membership functions show a significant effect on seismic fragility results considering limit state fuzziness.As the promotion of fuzziness level,the difference in seismic fragility results considering limit state fuzziness is growing accordingly.The proposed modified fragility function considering limit state fuzziness can well represent the effect of fuzziness at limit states on the seismic fragility analysis.

关 键 词：地震易损性 模糊性 极限状态 隶属函数 钢筋混凝土框架结构 

分 类 号：TU311[建筑科学—结构工程]