Probabilistic Push-Over Analysis of Structural and Soil-Structure Systems
Probabilistic Push-Over Analysis of Structural and Soil-Structure Systems
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DOI：
10.1061/(asce)st.1943-541x.0000231
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发表时间：
2010-11
期刊：
影响因子：
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通讯作者：
M. Barbato;Q. Gu;J. Conte
中科院分区：
文献类型：
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作者：
M. Barbato;Q. Gu;J. Conte
本文采用均值中心一阶二阶矩法对结构和土-结构体系进行概率推覆分析。基于有限元（FE）响应和响应灵敏度分析（RSA）结果，计算具有随机材料参数的结构和/或岩土系统的工程需求参数（EDP）的一阶和二阶统计矩（FSSM）近似值。FE RSA是准确和有效地执行，通过使用直接微分法（DDM），并用于评估的相对重要性（RI）的各种建模材料参数在影响的变化的EDP。通过概率POA结果的非线性非弹性有限元模型的近似方法来说明：（1）一个三层的混凝土框架建筑和（2）一个土壤-基础-结构相互作用系统组成的钢筋混凝土框架结构建立在分层土壤。通过FOSM方法计算的EDP的FSSM与通过Monte Carlo模拟获得的相应的准确估计进行了比较。从“精确”（或“本地”）和“平均”（或“全球”）响应灵敏度得到的结果进行了比较。描述系统的材料参数的RI研究在确定性和概率意义上，并在龙卷风图的形式。本文还考虑了材料参数之间统计相关性的影响，并利用一次二阶矩法进行了分析。一个简单的近似的概率密度函数和累积分布函数的EDP由于一个单一的随机参数的时间（而所有其他参数是固定的，以其平均值）也提出了。结论得出的适当性使用本地RSA简化概率POA和应用限制的FOSM方法。据观察，FOSM方法与DDM相结合，提供了准确的估计FSSM的EDP的低至中等水平的非弹性结构或系统的行为和有用的定性信息的RI排名的材料参数的结构或系统响应的高水平的非弹性行为。
In this paper, the mean-centered first-order second-moment (FOSM) method is employed to perform probabilistic push-over analysis (POA) of structural and/or soil-structure systems. Approximations of first and second statistical moments (FSSMs) of engineering demand parameters (EDPs) of structural and/or geotechnical systems with random material parameters are computed based on finite-element (FE) response and response sensitivity analysis (RSA) results. The FE RSA is performed accurately and efficiently by using the direct differentiation method (DDM) and is employed to evaluate the relative importance (RI) of the various modeling material parameters in influencing the variability of the EDPs. The proposed approximate methodology is illustrated through probabilistic POA results for nonlinear inelastic FE models of: (1) a three-story reinforced-concrete (RC) frame building and (2) a soil-foundation-structure interaction system consisting of a RC frame structure founded on layered soil. FSSMs of EDPs computed through the FOSM method are compared with the corresponding accurate estimates obtained via Monte Carlo simulation. Results obtained from "exact" (or "local") and "averaged" (or "global") response sensitivities are also compared. The RI of the material parameters describing the systems is studied in both the deterministic and probabilistic sense, and presented in the form of tornado diagrams. Effects of statistical correlation between material parameters are also considered and analyzed by the FOSM method. A simple approximation of the probability density function and cumulative distribution function of EDPs due to a single random parameter at a time (while all the other parameters are fixed to their mean values) is also proposed. Conclusions are drawn on both the appropriateness of using local RSA for simplified probabilistic POA and on the application limits of the FOSM method. It is observed that the FOSM method combined with the DDM provides accurate estimates of FSSMs of EDPs for low-to-moderate level of inelastic structural or system behavior and useful qualitative information on the RI ranking of material parameters on the structural or system response for high level of inelastic behavior.