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- Title
Structural damage identification based on estimated additional virtual masses and Bayesian theory.
- Authors
Li, Zhenkun; Hou, Jilin; Jankowski, Łukasz
- Abstract
A novel criterion, based on additional virtual masses estimated in multiple tests and the Bayesian theory, is proposed in this paper to improve the efficiency and precision of damage identification. Initially, a method is proposed that uses the experimentally measured frequency-domain response and a predetermined target frequency to estimate the required additional virtual mass. The proposed mass estimation method is flexible with respect to the frequency band of excitation, which can be thus selected according to practical engineering constraints. Furthermore, a new objective function based on the residual between the theoretical and experimental virtual masses is proposed. The objective function avoids calculating the structural modes through Eigen decomposition of the structural mass and stiffness matrices, and it thus improves the computational efficiency. Thirdly, based on the theoretical frequency response function of the finite element model, explicit formulas are derived for quick calculation of the additional masses and their sensitivities with respect to damage factors. In the next step, randomness and the influence of measurement noise are considered, and the approach is formulated in the probabilistic Bayesian framework. Finally, numerical simulations of a simply supported beam, a 3D truss structure and a 3D building, as well as an experimental 3-story frame, are used to verify the effectiveness of the proposed methods. The results clearly indicate that identified damage factors are close to real values, and thus acceptable in engineering.
- Subjects
FINITE element method; STRUCTURAL health monitoring; EIGENANALYSIS
- Publication
Structural & Multidisciplinary Optimization, 2022, Vol 65, Issue 2, p1
- ISSN
1615-147X
- Publication type
Article
- DOI
10.1007/s00158-021-03156-y