贝叶斯理论在既有砌体损伤定位中的应用研究  

Research on the Application of Bayesian Theory in the Localization of Existing Masonry Damage

作　　者：夏恒 崔鸿知 Xia Heng;Cui Hongzhi

机构地区：[1]长沙理工大学土木工程学院,湖南长沙410114

出　　处：《重庆建筑》2024年第4期54-57,60,共5页Chongqing Architecture

摘　　要：针对砌体结构损伤前参数获取困难的问题,提出了一种贝叶斯推断理论与有限元模型相结合的方法。该方法能在砌体结构相关参数不完全已知情况下,建立砌体结构损伤前的有限元模型,并对实际结构的损伤位置做出合理推断。首先基于历史资料初步建立砌体结构损伤前的有限元模型,然后根据传感器收集的数据与有限元模型的动力响应特征值来构建目标函数,最后通过应变模态差值的后验分布来推断结构的损伤位置。试验结果表明:该结构前四阶模态中,在一阶模态和四阶模态下能更好地显示结构损伤位置,并且该方法能有效地处理损伤定位中测量误差和模型误差的影响。For the problem that the parameters of a masonry structure before damage are hard to obtain,a method combining the Bayesian inference theory with finite element modeling was proposed.This method can establish a finite element model for the masonry structure before damage in case that not all relevant parameters are known,and make reasonable inferences about the location of the actual structural damage.Firstly,a finite element model for the masonry structure before damage was established based on historical data.Then,an objective function was constructed based on the data collected by sensors and the dynamic response eigenvalue of the finite element model.Finally,the location of structural damage was inferred according to the posterior distribution of strain modal differences.Experimental results demonstrated that this method can better display the location of structural damage in the first-order and fourth-order modes among the first four modes,and it can effectively buffer the impacts of errors in the measurement and model on damage localization.

关 键 词：砌体结构 应变模态 贝叶斯 有限元 后验分布 

分 类 号：TU362[建筑科学—结构工程]