西安建筑科技大学学报(自然科学版)

受剪承载力是开展钢筋再生混凝土结构设计和修复加固所依据的重要性能指标之一,发展其计算理论具有较强的科学与实践意义.然而受制于有限的试验数据及再生混凝土材性离散较大等原因,现行规范在预估此类构件受剪承载力时,往往简单对混凝土强度进行折减,套用普通钢筋混凝土构件的计算公式.该法通常存在精度低和稳定性差等问题.为此,首先尝试建立包含206根再生混凝土无腹筋梁的抗剪试验数据库,用以评估现存规范与经验计算公式的准确性及可靠性; 紧接着,选定预测效果较好的ACI318-2014规范和学者Zsutty建议公式为先验模型,基于贝叶斯统计理论对先验模型和试验信息进行统计推断,构建起无箍筋钢筋再生混凝土梁受剪承载力计算概率模型; 随后通过未知参数的筛选剔除,修正得到后验模型.研究结果表明:贝叶斯方法充分融合了先验模型的完备性及大量试验数据的准确性,能更精准地预测再生混凝土无腹筋梁的受剪强度.

Shear capacity is one of the important performance indicators for the design and repair of reinforced recycled aggregate concrete(RAC)structures, so it is of great scientific and practical significance to develop its calculation method. At present stage, due to the shortage of test results and the high variability for the RAC's mechanical property, most specifications still applies calculation formulas of conventional concrete beam to estimate that capacity by simply reducing the RAC's strength, which usually has problems such as low accuracy and poor stability. In view of this, a shear test database containing 206 reinforced RAC beams without stirrups was first established to evaluate the accuracy and reliability of existing specifications and empirical formulas. Then, the ACI318-2014 code with good prediction effect and the formula suggested by scholar Zsutty were selected as the prior model, and the prior model and test information were statistically inferred based on Bayesian statistical theory to build the probability model for calculating shear capacity of reinforced RAC beams without stirrups. Finally, Bayesian parameter culling process was adopted to eliminate the secondary influential factors, and new predictive expressions were acquired. The results showed that the Bayesian method fully integrated the completeness of the prior model and the accuracy of a large number of test data, and could predict the reinforced RAC beam's shear strength more accurately.

引言
1 贝叶斯理论及其统计推断
2 试验数据库建立、贝叶斯计算分析
3 试验验证与讨论
4 结论

表1 再生混凝土无腹筋抗剪试验数据库汇总<br/>Tab.1 Test database for steel bar reinforced RAC beams without stirrups under shear loading

表1 再生混凝土无腹筋抗剪试验数据库汇总
Tab.1 Test database for steel bar reinforced RAC beams without stirrups under shear loading

表2 再生混凝土无腹筋梁抗剪强度预测模型归纳<br/>Tab.2 Calculation models for predicting shear strength of steel bar reinforced RAC beams without stirrups

表2 再生混凝土无腹筋梁抗剪强度预测模型归纳
Tab.2 Calculation models for predicting shear strength of steel bar reinforced RAC beams without stirrups

表3 gk(x)计算结果的统计<br/>Tab.3 Statistics for the calculation results of gk(x)

表3 gk(x)计算结果的统计
Tab.3 Statistics for the calculation results of gk(x)

表4 参数剔除过程<br/>Tab.4 Parameter removal process

表4 参数剔除过程
Tab.4 Parameter removal process

图1 模型预测精度对比<br/>Fig.1 Comparison of model accuracy predictive

图1 模型预测精度对比
Fig.1 Comparison of model accuracy predictive

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备注

引言

1 贝叶斯理论及其统计推断

2 试验数据库建立、贝叶斯计算分析

3 试验验证与讨论

4 结论

期刊信息