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- Title
A Multi-Scale Wavelet Finite Element Model for Damage Detection of Beams Under a Moving Load.
- Authors
He, Wen-Yu; Zhu, Songye; Chen, Zhi-Wei
- Abstract
The resolution of structural finite element model (FEM) determines the computation cost and accuracy in dynamic analysis. This study proposes a novel wavelet finite element model (WFEM), which facilitates adaptive mesh refinement, for the dynamic analysis and damage detection of beam structures subjected to a moving load (ML). The multi-scale equations of motion for the beam under the ML are derived using the second-generation cubic Hermite multi-wavelets as the shape functions. Then an adaptive-scale analysis strategy is established, in which the scales of the wavelet beam elements are dynamically changed according to the ML position. The performance of the multi-scale WFEM is examined in both dynamic analysis and damage detection problems. It is demonstrated that the multi-scale WFEM with a similar number of degrees of freedom can achieve much higher accuracy than the traditional FEM. In particular, the multi-scale WFEM enables the detection of sub-element damage with a progressive model updating process. The advantage in computation efficiency and accuracy makes the proposed method a promising tool for multi-scale dynamic analysis or damage detection of structures.
- Subjects
LIVE loads; WAVELETS (Mathematics); FINITE element method; STRUCTURAL dynamics; GIRDER vibration
- Publication
International Journal of Structural Stability & Dynamics, 2018, Vol 18, Issue 6, pN.PAG
- ISSN
0219-4554
- Publication type
Article
- DOI
10.1142/S0219455418500785