基于 Copula 函数的框支剪力墙基础隔震结构地震易损性分析

针对经典构件地震易损性分析方法的不足, 文章将 Copula 函数引入到构件地震易损性分析中, 提出一种基于 Copula 函数的构件地震易损性分析方法。在地震易损性分析框架的基础上, 通过引入非参数核密度估计和 Copula 函数建立地震动强度和构件地震需求的联合概率分布函数, 使地震易损性分析无需人为假定易损性函数分布形式。以某框支剪力墙基础隔震结构为工程背景, 基于 Copula 函数的地震易损性分析方法建立结构各构件的易损性曲线, 并与常用构件易损性分析方法的计算结果进行比较, 验证了该方法的可行性。研究结果表明, 该方法有助于优化框支剪力墙隔震结构易损性曲线的建模过程, 为地震易损性研究提供新的思路和方法。

In view of the inadequacies of the classical seismic fragility analysis method of components, the Copula function is introduced to analyze the seismic fragility of components in this work. Then a seismic fragility analysis method of components based on Copula function is proposed. On the basis of the seismic fragility analysis framework, the joint probability distribution function of ground motion intensity and seismic demand of components is established by introducing nonparametric kernel density estimation and Copula function, which makes the distribution form of the fragility function that needs to be artificially assumed unnecessary. Taking a frame-supported shear wall base-isolated structure as the engineering background, Copula function are used to establish the fragility curve of each component. Compared with the calculation results of the common component fragility analysis methods, the feasibility of the proposed method is verified. The results show that the proposed method is helpful to optimize the modeling process of the fragility curve of frame-supported shear wall isolation structure, which provides a new idea and method for the research of seismic fragility.