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Uncertainty analysis of strain modal parameters by Bayesian method using frequency response function

  • Xu Li  (徐丽)Email author
  • Yi Weijian  (易伟建)
  • Zhihua Yi  (易志华)
Article

Abstract

Structural strain modes are able to detect changes in local structural performance, but errors are inevitably intermixed in the measured data. In this paper, strain modal parameters are considered as random variables, and their uncertainty is analyzed by a Bayesian method based on the structural frequency response function (FRF). The estimates of strain modal parameters with maximal posterior probability are determined. Several independent measurements of the FRF of a four-story reinforced concrete frame structural model were performed in the laboratory. The ability to identify the stiffness change in a concrete column using the strain mode was verified. It is shown that the uncertainty of the natural frequency is very small. Compared with the displacement mode shape, the variations of strain mode shapes at each point are quite different. The damping ratios are more affected by the types of test systems. Except for the case where a high order strain mode does not identify local damage, the first order strain mode can provide an exact indication of the damage location.

Keywords

frequency response function uncertainty strain mode Bayesian method local damage damage detection concrete frame 

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Copyright information

© Institute of Engineering Mechanics, China Earthquake Administration 2007

Authors and Affiliations

  • Xu Li  (徐丽)
    • 1
    • 2
    Email author
  • Yi Weijian  (易伟建)
    • 3
  • Zhihua Yi  (易志华)
    • 4
  1. 1.Beijing University of TechnologyBeijingChina
  2. 2.Guangzhou UniversityGuangzhouChina
  3. 3.Hunan UniversityChangshaChina
  4. 4.City College of New YorkUSA

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