1. MCMC-Based Probabilistic Damage Characterization for Plate Structures Using Responses at Vibration Nodes
- Author
-
Chengrui Wan, Tianxiang Huang, and Kai-Uwe Schröder
- Subjects
Reduction (complexity) ,Identification (information) ,symbols.namesake ,Metropolis–Hastings algorithm ,Computer science ,Probabilistic logic ,symbols ,Node (circuits) ,Markov chain Monte Carlo ,Structural health monitoring ,Bayesian inference ,Algorithm - Abstract
Structural Health Monitoring (SHM) has brought various benefits into the industry, such as in economic, life-safety and lightweight design aspects. The recent development of SHM techniques leads to the optimization of the sensor arrangement, enhancement in the damage identification accuracy and increases in computational efficiency. Vibration-based SHM has shown to be practical and requires a relatively small number of sensors. In this approach, the dynamic responses at vibration nodes (node displacement, or NODIS) are adopted for damage identification in plate structures. The method utilizes the framework of Bayesian inference to overcome the drawbacks of traditional deterministic approaches so that the presence of various uncertainties and errors can be taken into consideration. Furthermore, the Markov chain Monte Carlo sampling technique with adaptive Metropolis algorithm is integrated into the framework, achieving a considerable reduction of computational costs. In this paper, the principles of the NODIS method for plate structure is elaborated. Then, a thorough explanation of the MCMC-based Bayesian framework with NODIS and its theoretical background are presented. At last, the performance of the proposed method is evaluated with numerical results.
- Published
- 2021