A general approach to construct full-field responses and high-resolution mode shapes of bridges using sparse measurements

Yi He, Zhitao Yan, Judy P. Yang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The full-field responses and high-resolution mode shapes are of paramount importance in the detection of bridge damage and finite element model updating. As enlightened by the Fourier series expansion of the mode shapes for a bridge, this study proposes an approach for compressive sensing-based reconstruction of the full-field responses and identification of high-resolution mode shapes, in which a general basis matrix is newly formulated, with particular application to beam-like continuous or non-uniform bridges. The merits of the proposed approach are model-free, output-only, and easy to implement, especially the need of a few sensors. The effectiveness of the approach is validated through both numerical and experimental examples by considering various bridge boundary conditions and non-uniform cross-sections, from which the potential application of this general approach is foreseeable.
Original languageEnglish
Article numberDOI: 10.1142/S0219455424710056
JournalInternational Journal of Structural Stability and Dynamics
StatePublished - 2023

Keywords

  • Full-field response
  • high-resolution mode shape
  • model-free
  • compressive sensing
  • Fourier series expansion
  • basis matrix

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