考虑损伤状态阈值模糊性的重力坝地震易损性分析
Seismic Fragility Analysis of Gravity Dams Considering the Fuzziness of Damage States Thresholds
作者：王媛(四川大学 水力学与山区河流开发保护国家重点实验室， 水利水电学院，四川 成都 610065)；李泽发(四川大学 水力学与山区河流开发保护国家重点实验室， 水利水电学院，四川 成都 610065)；吴震宇(四川大学 水力学与山区河流开发保护国家重点实验室， 水利水电学院，四川 成都 610065)；范雪枫(四川大学 水力学与山区河流开发保护国家重点实验室， 水利水电学院，四川 成都 610065)；田紫圆(四川大学 水力学与山区河流开发保护国家重点实验室， 水利水电学院，四川 成都 610065)
Author：WANG Yuan(State Key Lab. of Hydraulics and Mountain River Eng., College of Water Resources & Hydropower, Sichuan Univ., Chengdu 610065, China)；LI Zefa(State Key Lab. of Hydraulics and Mountain River Eng., College of Water Resources & Hydropower, Sichuan Univ., Chengdu 610065, China)；WU Zhenyu(State Key Lab. of Hydraulics and Mountain River Eng., College of Water Resources & Hydropower, Sichuan Univ., Chengdu 610065, China)；FAN Xuefeng(State Key Lab. of Hydraulics and Mountain River Eng., College of Water Resources & Hydropower, Sichuan Univ., Chengdu 610065, China)；TIAN Ziyuan(State Key Lab. of Hydraulics and Mountain River Eng., College of Water Resources & Hydropower, Sichuan Univ., Chengdu 610065, China)
收稿日期：2019-09-30 年卷（期）页码：2020,52(2):110-120
期刊名称：工程科学与技术
Journal Name：Advanced Engineering Sciences
关键字：重力坝;地震易损性;损伤状态模糊性;非线性动力分析;动力响应
Key words：gravity dams;seismic fragility;fuzziness of damage states;nonlinear dynamic analysis;dynamic response
基金项目：国家重点研发计划项目（2016YFC0401907）
中文摘要
由于结构损伤状态的演变是一个逐渐过渡的过程，以及分析认知的模糊性，重力坝地震损伤状态的阈值具有模糊性，会影响重力坝损伤状态的评价结果。本文提出了损伤状态阈值的模糊区间和损伤指标隶属度函数的构建原则，构建了描述重力坝损伤状态阈值模糊性的数学模型，结合坝与地基系统的非线性有限元地震动力分析和Hariri-Ardebili的损伤状态量化方法，提出了重力坝模糊地震易损性分析方法。将提出的方法应用于Pine Flat重力坝，从地震记录数据库中选取60条地震波，对Pine Flat重力坝进行增量动力分析，计算不同地震动输入下坝体损伤指标并确定相应的损伤状态，研究了隶属度函数形式和损伤状态阈值模糊区间的大小对Pine Flat重力坝地震易损性的影响。结果表明：损伤状态阈值模糊区间的大小对Pine Flat重力坝地震易损性的影响较大，而隶属度函数形式的影响较小。受坝体损伤指标随机分布特征影响，损伤状态阈值的模糊性导致Pine Flat重力坝轻度损伤状态的超越概率明显增加，而接近倒塌损伤状态的超越概率有所降低。因此，在重力坝地震易损性分析中应该考虑损伤状态阈值模糊性的影响。
英文摘要
Since the evolution of the structural damage states is a gradual transitional process and the fuzziness of cognition, the thresholds of damage states of the gravity dams are fuzzy, which will affect the evaluation results of damage states of gravity dams. Fuzzy intervals of damage states thresholds and construction principles of membership function for damage indexes were proposed, and a mathematical model describing the fuzziness of damage states thresholds of gravity dam was built. Based on the nonlinear finite element dynamic analysis of dam-foundation system, Hariri-Ardebili's quantitative method and the proposed mathematical model, a methodology for fuzzy seismic fragility analysis of gravity dams was proposed. Pine Flat gravity dam was used as a setting for numerical simulations. The 60 seismic waves were selected from ground motion database for incremental dynamic analysis of Pine Flat gravity dam. The damage indexes under different seismic inputs were calculated and the corresponding damage states were defined. The influence of the types of membership function and the sizes of fuzzy intervals of damage states thresholds on seismic fragility was investigated. The results showed that the types of membership function had little influence on seismic fragility of Pine Flat gravity dam, while the influence of sizes of fuzzy intervals on seismic fragility curves was obvious. Due to the distribution characteristics of damage indexes, the fuzziness of the damage states thresholds led to a significant increase in the probability of exceeding of Slight damage, while the probability of exceeding of near collapse decreased. Therefore, the influence of fuzziness of damage states thresholds should be considered in seismic fragility analysis of gravity dams.
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