东南大学学报（自然科学版）2024，Vol.54Issue(2)：303-311,9.DOI:10.3969/j.issn.1001-0505.2024.02.007
基于逆高斯随机过程的混凝土梁桥抗力退化模型
Resistance degradation model of concrete beam bridge based on inverse Gaussian stochastic process
摘要
Abstract
To accurately reflect the time-dependence and randomness of the resistance degradation of concrete girder bridges,the inverse Gaussian(IG)stochastic process was used to establish the structural resistance deg-radation model.Based on the field test data,the IG stochastic process was updated in real-time by Bayesian updating theory.In addition,a mixed Gibbs sampling method was proposed to address the difficulty in estima-ting high-dimensional parameters in the model due to the non-conjugate prior and posterior distributions.The feasibility of the method was demonstrated by numerical cases,and the resistance prediction of a concrete gird-er bridge was conducted.The research results show that the IG stochastic process can employ the field detec-tion information to update the bridge resistance degradation process in real time.Moreover,the mixed Gibbs sampling method can solve the problem of high-dimensional parameter estimation,and overcome the defect of empirical given value of exponential q in the shape function.With the increase of service life,the accumulated deterioration of bridge structure gradually increases.When the service life of the bridge is 60 a,the accumula-ted deterioration is 3.48 times that of 30 a.Compared with the Gamma stochastic process,the IG stochastic process avoids the assumption of several initial parameters,and thus an accurate bridge resistance degradation model is obtained.关键词
桥梁工程/抗力/逆高斯(IG)随机过程/混合Gibbs采样Key words
bridge engineering/resistance/inverse Gaussian(IG)stochastic process/mixed Gibbs sampling分类
交通工程引用本文复制引用
徐望喜,钱永久,金聪鹤,龚婉婷..基于逆高斯随机过程的混凝土梁桥抗力退化模型[J].东南大学学报（自然科学版）,2024,54(2):303-311,9.基金项目
国家自然科学基金资助项目(51778532). （51778532）
