Bond graph-based qualitative-quantitative health assessment of structures

Abstract eng:
This paper develops a new framework for hybrid qualitative-quantitative system identification of structures using the bond graph theory. The bond graph (BG) is an energybased graphical-modeling tool for physical dynamic systems and sensors. BG provides a unified (domain-independent) framework for modeling complex systems with interaction of multiple energy domains. Discrete structures are modeled using one-to-one bond graph elements. Continuous structures are modeled, in the generalized coordinates, using finite-mode bond graphs. BG facilitates the construction of temporal causal graph (TCG) that links the system response to the damaged component or faulty sensor, which constitutes the basis for a new health assessment scheme. TCG provides qualitative damage isolation by comparing predicted signatures of possible damage causes, extracted off-line before sensor data collection, with the observed behavior of the structure. This leads to quick isolation of damage and significant reductions in computations. Quantitative identification of damage size is performed by analyzing the substructure containing the damaged component only, again reducing the computations. Numerical illustrations on dynamic analysis and system identification of fifteen-story shear building and high-rise building are provided.

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