Model updating techniques are often applied to calibrate the numerical models of bridges using structural health monitoring data. The updated models can facilitate damage assessment and prediction of responses under extreme loading conditions. Some researchers have adopted surrogate models, for example, Kriging approach, to reduce the computations, while others have quantified uncertainties with Bayesian inference. It is desirable to further improve the efficiency and robustness of the Kriging-based model updating approach and analytically evaluate its uncertainties. An active learning structural model updating method is proposed based on the Kriging method. The expected feasibility learning function is extended for model updating using a Bayesian objective function. The uncertainties can be quantified through a derived likelihood function. The case study for verification involves a multisensory vehicle-bridge system comprising only two sensors, with one installed on a vehicle parked temporarily on the bridge and another mounted directly on the bridge. The proposed algorithm is utilized for damage detection of two beams numerically and an aluminum model beam experimentally. The proposed method can achieve satisfactory accuracy in identifying damage with much less data, compared with the general Kriging model updating technique. Both the computation and instrumentation can be reduced for structural health monitoring and model updating.

中文翻译：

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基于克里格法和贝叶斯推理的多感知系统主动学习结构模型更新

模型更新技术通常用于使用结构健康监测数据校准桥梁的数值模型。更新后的模型可以促进极端载荷条件下的损伤评估和响应预测。一些研究人员采用替代模型，例如克里金法，以减少计算量，而另一些研究人员则通过贝叶斯推理量化不确定性。希望进一步提高基于克里格模型更新方法的效率和鲁棒性，并对其不确定性进行分析评估。提出了一种基于克里格方法的主动学习结构模型更新方法。预期可行性学习函数被扩展为使用贝叶斯目标函数进行模型更新。不确定性可以通过导出的似然函数进行量化。验证案例涉及仅包含两个传感器的多传感器车桥系统，一个安装在临时停放在桥上的车辆上，另一个直接安装在桥上。所提出的算法被用于两根梁的数值损伤检测和铝模型梁的实验检测。与一般的克里金模型更新技术相比，所提出的方法可以在用更少的数据识别损伤方面达到令人满意的精度。结构健康监测和模型更新的计算和仪器都可以减少。所提出的算法被用于两根梁的数值损伤检测和铝模型梁的实验检测。与一般的克里金模型更新技术相比，所提出的方法可以在用更少的数据识别损伤方面达到令人满意的精度。结构健康监测和模型更新的计算和仪器都可以减少。所提出的算法被用于两根梁的数值损伤检测和铝模型梁的实验检测。与一般的克里金模型更新技术相比，所提出的方法可以在用更少的数据识别损伤方面达到令人满意的精度。结构健康监测和模型更新的计算和仪器都可以减少。