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为了在桥梁系统易损性分析中考虑构件地震需求之间相关性的影响,采用贝叶斯加权平均方法构造混合Copula函数,将构件地震需求之间的相关结构和各构件的边缘分布函数进行分离;结合增量动力分析,建立了桥墩、支座等单个构件的易损性曲线及联合分布函数,提出了考虑构件地震需求相关性的桥梁系统易损性分析方法。结果表明:混合Copula函数能够准确描述构件地震需求间上、下尾相关并存的非对称相关结构,简化构件地震需求联合分布函数的建模过程;与Monte Carlo抽样方法相比,二者得到的桥梁系统易损性吻合良好,且混合Copula函数方法避免了大量的数值抽样,显著提高系统易损性分析的计算效率。
In order to consider the influence of the seismic demand on members in the vulnerability analysis of the bridge system, the mixed Copula function is constructed by Bayesian weighted average method, and the correlation between member seismic demand and the edge distribution function of each member are separated . Combined with incremental dynamic analysis, vulnerability curves and joint distribution functions of single members such as piers and supports are established. A vulnerability analysis method of bridge system considering the correlation of member seismic demand is proposed. The results show that the mixed Copula function can accurately describe the asymmetric correlation structure coexisting with the upper and lower tails of component seismic demand, and simplify the modeling process of the joint seismic load distribution function. Compared with the Monte Carlo sampling method, The system vulnerability is well matched, and the mixed Copula function method avoids a large number of numerical sampling and significantly improves the computational efficiency of the system vulnerability analysis.