计算力学学报2017，Vol.34Issue(5)：547-554,8.DOI:10.7511/jslx201705003
剪切型钢筋混凝土柱临界斜裂缝倾角的概率模型
Probabilistic model for critical diagonal crack angle of shear-critical reinforced concrete columns
摘要
Abstract
T raditional models for critical diagonal crack angle of shear-critical reinforced concrete (RC ) column are generally deterministic and exhibit low accuracy and large scatter ,due to the fact that they do not consider the uncertainties of various influential factors ,such as material parameters ,geometric dimension and boundary constraints and so on .In order to overcome the above limitations ,a probabilistic model for critical diagonal crack angle of shear-critical RC column was established in this study .The deterministic model for critical diagonal crack angle of shear-critical RC column was proposed based on the variable angle truss model first .Then ,a probabilistic model for critical diagonal crack angle of shear-critical RC column w hich takes into account the influence of both epistemic and aleatory uncertainties was developed by combining with the Bayesian theory and the Markov Chain Monte Carlo (MCMC) method .Moreover ,analytical expressions of the mean and variance of probabilistic critical diagonal crack angle were also derived .The accuracy and efficiency of the proposed probabilistic model were validated by comparing with the experimental data and existing deterministic models ,which indicates that the proposed probabilistic model could describe the probabilistic characteristic of critical diagonal crack angle of the shear-critical RC column reasonably .Most importantly ,the proposed probabilistic model provides not only a benchmark to calibrate the confidence level of traditional deterministic models ,but also an efficient way to determine the characteristic values of critical diagonal crack angles of shear-critical RC column with different confidence levels .关键词
钢筋混凝土柱/剪切破坏/临界斜裂缝倾角/变角桁架模型/概率模型Key words
reinforced concrete column/shear-critical column/critical diagonal crack angle/variable angle truss model/probabilistic model分类
建筑与水利引用本文复制引用
余波,吴然立,陈冰..剪切型钢筋混凝土柱临界斜裂缝倾角的概率模型[J].计算力学学报,2017,34(5):547-554,8.基金项目
国家自然科学基金(51368006 ,51478125 ) （51368006 ,51478125 ）
广西重点实验室系统性研究项目(2013ZDX06)资助项目 . （2013ZDX06）
