Identification of system matrices based on experimental modal analysis and its application in structural health monitoring

Sifeng Bi, Michael Beer, Morvan Ouisse, Emmanuel Foltête

Research output: Contribution to conferencePaperpeer-review


This paper presents a system matrices identification approach directly from the real-time measured structural responses. Based on the experimental modal analysis, the identified system matrices are expected to represent the system behaviours as same as the experimentally measured ones. Due to the fact that the system matrices, i.e. the mass, stiffness, and damping matrices, are the direct reflection of the inherent properties of the structure, they can be naturally served as the indicator of structural damages. The identification approach utilizes the state space representation for the equation development to construct the system matrices using the complex modes (i.e. the complex eigenvalues and eigenvectors). The complex modes, however, requires a calibration process to enforce the so-called properness condition, which is not generally fulfilled by the modes because of the inevitable experimental noise. An efficient method based on the Riccati equation is proposed to calibrate the complex eigenvectors so that they can be safely used to construct the system matrices. A scalar quantity based on the norm of the matrices is defined as the indicator for structural health monitoring. The overall approach is performed on a numerical model of a structure with controllable modifications (i.e. artificial damages). The difference between the identified matrices of the original and modified structures clearly demonstrates the approach's feasibility in structural health monitoring.

Original languageEnglish
Number of pages7
Publication statusPublished - 30 May 2019
Event13th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2019 - Seoul, Korea, Republic of
Duration: 26 May 201930 May 2019


Conference13th International Conference on Applications of Statistics and Probability in Civil Engineering, ICASP 2019
Country/TerritoryKorea, Republic of


  • damping matrices
  • structural health monitoring
  • Riccati equation

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