Abstract
This chapter uses the output error method of system identification to assess the presence and extent of damage in steel structures. The identification problem is formulated as a following optimization problem: find parameters describing the presence and location of damaged elements in a structure by minimization of discrepancy of the modal response predicted by FE analysis from the test data. A typical portal frame has been chosen for experimental measurements. The dynamic response was measured by a piezoelectric accelerometer attached to the frame. The FE package ANSYS was used for the modal response analysis. Two choices of the optimization variables are considered, the first one produces a mixed discrete‑continuous problem solved by a Genetic Algorithm (GA), and the second results in a continuous problem solved by a combination of a GA used to produce a high-quality starting guess, and the Sequential Quadratic Programming (SQP) method modified for the use with noisy response function values. The proposed technique is illustrated by examples of recognition of damaged elements in a steel portal frame.
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