A Multi-Scale Wavelet Finite Element Model for Damage Detection of Beams under a Moving Load

Wen Yu He, Songye Zhu, Zhi Wei Chen

Research output: Journal article publicationJournal articleAcademic researchpeer-review

7 Citations (Scopus)


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.
Original languageEnglish
Article number1850078
JournalInternational Journal of Structural Stability and Dynamics
Issue number6
Publication statusPublished - 1 Jun 2018


  • damage detection
  • dynamic analysis
  • moving load
  • Multi-scale
  • wavelet finite element

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics


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