Key Laboratory of Coast Civil Structure Safety, Tianjin University, Ministry of Education, Tianjin 300350, China.
School of Civil Engineering, Tianjin University, Tianjin 300350, China.
Sensors (Basel). 2022 Jun 2;22(11):4251. doi: 10.3390/s22114251.
Under the framework of Bayesian theory, a probabilistic method for damage diagnosis of latticed shell structures based on temperature-induced strain is proposed. First, a new damage diagnosis index is proposed based on the correlation between temperature-induced strain and structural parameters. Then, Markov Chain Monte Carlo is adopted to analyze the newly proposed diagnosis index, based on which the frequency distribution histogram for the posterior probability of the diagnosis index is obtained. Finally, the confidence interval of the damage diagnosis is determined by the posterior distribution of the initial state (baseline condition). The damage probability of the unknown state is also calculated. The proposed method was validated by applying it to a latticed shell structure with finite element developed, where the rod damage and bearing failure were diagnosed based on importance analysis and temperature sensitivity analysis of the rod. The analysis results show that the proposed method can successfully consider uncertainties in the strain response monitoring process and effectively diagnose the failure of important rods in radial and annular directions, as well as horizontal (- and -direction) bearings of the latticed shell structure.
在贝叶斯理论框架下，提出了一种基于温度应变的网壳结构损伤诊断的概率方法。首先，基于温度应变与结构参数之间的相关性，提出了一种新的损伤诊断指标。然后，采用马尔可夫链蒙特卡罗方法对新提出的诊断指标进行分析，基于此获得了诊断指标后验概率的频率分布直方图。最后，通过初始状态（基线条件）的后验分布确定损伤诊断的置信区间。通过对有限元开发的网壳结构进行应用，验证了所提出的方法，基于杆的重要性分析和温度灵敏度分析，对杆的损伤和轴承失效进行了诊断。分析结果表明，该方法能够成功考虑应变响应监测过程中的不确定性，并有效诊断网壳结构的重要杆在径向和环向以及水平（-和-方向）轴承的失效。
