2011/10/15 by Ilyes Boulkaibet, I. Boulkaibet, T. Marwala +10
Computer Science · Decision Sciences · Engineering · #Computational Engineering #FOS: Computer and information sciences #Finance #Infrastructure Maintenance and Monitoring #Probabilistic and Robust Engineering Design #Structural Health Monitoring Techniques #and Science (cs.CE) #cs.CE
paper · pdf · doi:10.48550/arxiv.1110.3382
Paper Accepted in the 25th International Modal Analysis Conference, 2012
arxiv created 2011/10/15 · openalex publication_date 2011/10/15 · arxiv updated 2011/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recent papers in the field of Finite Element Model (FEM) updating have highlighted the benefits of Bayesian techniques. The Bayesian approaches are designed to deal with the uncertainties associated with complex systems, which is the main problem in the development and updating of FEMs. This paper highlights the complexities and challenges of implementing any Bayesian method when the analysis involves a complicated structural dynamic model. In such systems an analytical Bayesian formulation might not be available in an analytic form; therefore this leads to the use of numerical methods, i.e. sampling methods. The main challenge then is to determine an efficient sampling of the model parameter space. In this paper, three sampling techniques, the Metropolis-Hastings (MH) algorithm, Slice Sampling and the Hybrid Monte Carlo (HMC) technique, are tested by updating a structural beam model. The efficiency and limitations of each technique is investigated when the FEM updating problem is implemented using the Bayesian Approach. Both MH and HMC techniques are found to perform better than the Slice sampling when Young's modulus is chosen as the updating parameter. The HMC method gives better results than MH and Slice sampling techniques, when the area moment of inertias and section areas are updated.