The aim of this study is to develop a Hamiltonian Monte Carlo‐based algorithm for finite element model updating in the Bayesian framework. The proposed algorithm uses adaptive prior‐based approach, which helps to generate the intermediate pdfs. Numerical analysis is carried out with different coefficient of variations of the prior for model updating. Guidelines for their proper selection procedure are also prescribed in this work. The efficiency of the proposed method is demonstrated using synthetic experiments and actual test data for updating the finite element model of a steel truss bridge. Finally, performance of this algorithm is compared with the standard Markov chain Monte Carlo algorithm to demonstrate its advantages.

中文翻译：

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钢桁架桥基于哈密顿蒙特卡罗修正贝叶斯有限元模型的修正

这项研究的目的是为贝叶斯框架中的有限元模型更新开发基于Hamiltonian Monte Carlo的算法。所提出的算法使用自适应的基于先验的方法，这有助于生成中间pdf。用先验的不同变化系数进行数值分析，以进行模型更新。这项工作还规定了正确选择程序的准则。通过综合实验和实际测试数据验证了该方法的有效性，以更新钢桁架桥的有限元模型。最后，将该算法的性能与标准马尔可夫链蒙特卡罗算法进行了比较，以证明其优势。