基于多元Copula函数的桥梁体系地震易损性分析方法研究

发布时间：2018-01-08 01:13

本文关键词：基于多元Copula函数的桥梁体系地震易损性分析方法研究　出处：《振动与冲击》2017年09期 　论文类型：期刊论文

【摘要】：为了考虑桥墩、支座等构件地震需求之间相关性,引入多元Copula函数对构件地震需求之间的相关结构进行描述,提出了桥梁体系易损性分析的新方法。基于增量动力分析结果建立了单个构件的易损性,采用核光滑方法对各构件的边缘分布函数进行估计;基于离差平方和最小准则和最小距离法对多元Copula函数进行了参数估计及优选;结合单个构件的易损性及多元Copula函数,建立了桥梁体系的易损性曲线,分析了构件地震需求之间相关性对桥梁体系易损性的影响。结果表明:桥墩、支座等构件地震需求之间的相关性对桥梁体系易损性影响显著;基于离差平方和最小准则构造的多元Copula函数,能够准确描述构件地震需求之间的相关结构,有效降低桥梁体系易损性分析的难度。
[Abstract]:In order to consider the correlation between the seismic demand of bridge pier, support and other components, the multivariate Copula function is introduced to describe the correlation structure between the seismic requirements of the components. A new method for vulnerability analysis of bridge system is proposed. Based on the incremental dynamic analysis results, the vulnerability of a single member is established, and the edge distribution function of each member is estimated by kernel smoothing method. The parameter estimation and optimal selection of multivariate Copula function are carried out based on the least square sum criterion and the minimum distance method. Combined with the vulnerability of single component and multivariate Copula function, the vulnerability curve of bridge system is established, and the influence of the correlation between seismic demand of components on the vulnerability of bridge system is analyzed. The results show that: bridge pier. The correlation between the seismic demand of support and other components has a significant impact on the vulnerability of bridge system. The multivariate Copula function based on deviation square and minimum criterion can accurately describe the correlation structure between seismic requirements of components and effectively reduce the difficulty of vulnerability analysis of bridge system.
【作者单位】：西南交通大学土木工程学院;东南大学交通学院;
【基金】：国家自然科学基金(51178395)
【分类号】：U442.55
【正文快照】： 在地震作用下,桥墩、支座及桥台等桥梁构件地震需求之间相互影响,不可避免地存在一定的相关性[1]。当地震动强度不同时,构件需求之间的相关性也不同,特别是当结构响应进入塑性阶段以后,构件地震需求之间的相关性变得更加复杂[2]。然而,由于建立构件地震需求的联合分布函数较为

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