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基于贝叶斯理论的既有钢筋混凝土框架性能退化预测模型研究

Performance Degradation Prediction Model of Existing Reinforced Concrete Frame Structure Based on Bayesian Theory

  • 摘要: 在既有钢筋混凝土建筑中,由于结构所处环境各自不同,仅基于类似既有建筑的历史记录的经验数据的预测可能会产生误导,而贝叶斯定理提供了一种综合考虑经验数据和检测数据的方法,可根据检测数据动态更新预测模型。然而在贝叶斯分析过程中需要抽取大量的随机样本,因此引入Kriging自适应近似模型来降低计算成本。通过和有限元模型计算结果的对比,近似模型在提高计算效率的同时,也可保证分析结果的精确度在合理误差范围内。将贝叶斯理论应用到钢筋混凝土框架结构刚度退化系数预测模型中,发现检测数据的引入对后验分布有着显著影响,结构性能的预测依赖于信息的更新,基于贝叶斯理论的预测模型可以给出符合当前工程实际情况的预测模型。

     

    Abstract: In existing reinforced concrete buildings, due to the particularity of the environment in which the structure is located, predictions based only on empirical data according to similar historical records of existing buildings may be misleading. Bayes’ theorem can provide a comprehensive consideration of empirical data and detection data, the prediction model can be dynamically updated according to the detection data. Since a large number of random samples need to be extracted during the Bayesian analysis, the Kriging adaptive approximation model is introduced. By comparing to the calculation results of the finite element model, it is shown that the approximate model can improve the calculation efficiency and at the same time ensure a high accuracy. Applying Bayesian theory to the prediction model of stiffness degradation coefficient of reinforced concrete frame structure, it is found that the introduction of test data has a significant impact on the posterior distribution, and the prediction of structural performance highly depends on the update of information. The prediction model based on Bayesian theory can provide a prediction model that conforms to the actual situation of the current project.

     

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