Reliability Analysis of Reinforced Concrete Frame by Finite Element Method with Implicit Limit State Functions
Reliability Analysis of Reinforced Concrete Frame by Finite Element Method with Implicit Limit State Functions
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DOI：
10.3390/buildings9050119
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发表时间：
2019-05-01
期刊：
影响因子：
3.8
通讯作者：
Grubisic, Ante
中科院分区：
文献类型：
--
作者：
Grubisic, Marin;Ivosevic, Jelena;Grubisic, Ante
由于结构地震响应的预测具有高度不确定性，因此显然需要概率方法，特别是对于关键地震响应参数的估计。考虑到钢筋混凝土（RC）结构的材料和几何形式中存在的不确定性，在基于性能的地震工程（PBEE）的背景下使用有限元法（FEM）进行可靠性分析。本研究提出并比较了使用不同数值方法、均值一阶二阶矩 (MVFOSM)、一阶可靠性方法 (FORM)、二阶可靠性方法 (SORM) 和蒙特卡罗模拟 (MCS) 进行钢筋混凝土 (RC) 平面框架非线性建模及其可靠性分析的可能性。使用的校准数值模型基于之前对平面 RC 框架承受循环水平载荷的实验测试。为了进行可靠性分析，数值模型通过随机变量（RV）参数进行升级，并使用隐式极限状态函数（LSF），通过控制水平层间漂移比（IDR）进行推覆分析。可靠性结果被发现对可靠性分析方法敏感。可靠性分析结果表明，在非线性区域，在超过纵向钢筋的屈服强度后，截面几何参数比材料特性参数更加重要。结果还表明，认知（基于知识的）不确定性显着影响离散度和中值估计参数响应。建议使用 MCS 抽样方法，但应用于响应模型的一阶可靠性方法 (FORM) 也可以具有良好的精度。事实证明，使用有限元法进行可靠性分析适合直接实施几何和材料非线性，以涵盖认知（基于知识的）不确定性。
Since the prediction of the seismic response of structures is highly uncertain, the need for the probabilistic approach is clear, especially for the estimation of critical seismic response parameters. Considering the uncertainties present in the material and geometric form of reinforced concrete (RC) structures, reliability analyses using the Finite Element Method (FEM) were performed in the context of Performance-Based Earthquake Engineering (PBEE). This study presented and compared the possibilities of nonlinear modelling of the reinforced concrete (RC) planar frame and its reliability analysis using different numerical methods, Mean-Value First-Order Second-Moment (MVFOSM), First-Order Reliability Method (FORM), Second-Order Reliability Method (SORM) and Monte Carlo simulation (MCS). The calibrated numerical models used were based on the previous experimental test of a planar RC frame subjected to cyclic horizontal load. Numerical models were upgraded by random variable (RV) parameters for reliability analysis purposes and, using implicit limit state function (LSF), pushover analyses were performed by controlling the horizontal inter-storey drift ratio (IDR). Reliability results were found to be sensitive to the reliability analysis method. The results of reliability analysis reveal that, in a nonlinear region, after exceeding the yield strength of the longitudinal reinforcement, the cross-sectional geometry parameters were of greater importance compared to the parameters of the material characteristics. The results also show that epistemic (knowledge-based) uncertainties significantly affected dispersion and on the median estimate parameter response. The MCS sampling method is recommended, but the First-Order Reliability Method (FORM) applied on a response model can be used with good accuracy. Reliability analysis using the FEM proved to be suitable for the direct implementation of geometric and material nonlinearities to cover epistemic (knowledge-based) uncertainties.