基于贝叶斯理论的钢筋UHPC梁抗剪承载力概率模型

PROBABILISTIC MODEL FOR SHEAR CAPACITY OF REINFORCED UHPC BEAM UPON BAYESIAN THEORY

  • 摘要: 超高性能混凝土(UHPC)梁抗剪承载力是UHPC结构设计和安全性评估的关键指标,对其进行准确预测具有重要意义。然而由于抗剪机理的复杂性,至今未有统一的计算理论和设计方法。该文基于贝叶斯理论研究建立了钢筋UHPC梁抗剪承载力概率模型。首先收集了国内外155根UHPC梁的抗剪试验数据,选定JGJ/T 465−2019规程、法国AFGC−2013规范、日本JSCE−2006规范和瑞士SIA−2016规范中的计算公式作为贝叶斯先验模型,并对规程规范公式的精度和适用性进行了评估分析;然后采用贝叶斯方法综合样本信息和先验信息,引入偏差修正项更新先验模型,建立钢筋UHPC梁抗剪承载力后验概率模型;最后联合模型修正的试验数据和扩展收集的28组试验数据双向验证了概率模型的有效性和优越性。结果表明:贝叶斯方法充分利用了参数的先验信息,同时很好地考虑了不确定性,与先验模型相比,贝叶斯概率模型计算结果与试验数据吻合更好,且随机性显著减小,可以更合理准确地反映UHPC梁的抗剪承载力。在此基础上,运用蒙特卡罗模拟法(MCS)对钢筋UHPC梁抗剪承载力开展了可靠度分析,并基于目标可靠度校核得到抗力分项系数。

     

    Abstract: The shear capacity of ultra-high-performance concrete (UHPC) beam is a key index for the design and safety assessment of UHPC structures, and it is of great significance to accurately predict the shear capacity. However, there is no unified calculation theory and design method so far, due to the complex shear mechanism. This study develops probabilistic models for the shear capacity of reinforced UHPC beams based on Bayesian theory. Firstly, a database that comprises 155 shear test results of UHPC beams was collected. The calculation formulas suggested by JGJ/T 465−2019, by AFGC−2013, by JSCE−2006 and, by SIA−2016 were selected as the Bayesian prior models, and their accuracies and applicability were evaluated and analyzed. Then, two types of the information, the sample information and the prior information, were synthesized by the Bayesian approach, and the deviation correction terms were added to update the prior models, so as to establish the posterior probability models for the shear capacity of reinforced UHPC beam. Finally, combining the test data used to modify the model and 28 sets of test data collected by the extended tests, the rationality and superiority of the probabilistic models proposed were verified simultaneously. The study results show that the Bayesian approach takes full advantage of the prior information of unknown parameters and can, at the same time, consider the uncertainty well. Compared with the prior models, the calculation results of the Bayesian probabilistic models are in a better agreement with the experimental data, and the randomness is significantly reduced, which can reflect the shear capacity of reinforced UHPC beam more reasonably and accurately. On this basis, the Monte Carlo Simulation (MCS) approach was employed to analyze the reliability of the shear capacity of UHPC beams, and the resistance partial safety factor was further determined upon the target reliability index.

     

/

返回文章
返回