Z. Wang et al., STRUCTURAL DAMAGE DETECTION USING MEASURED FRF DATA, Computer methods in applied mechanics and engineering, 147(1-2), 1997, pp. 187-197
The underlying principle behind structural damage detection techniques
is that vibration signature, e.g. modal properties or frequency respo
nse function (FRF) data, is a sensitive indicator of structural physic
al integrity and thus can be used to detect damage. Since indirectly-m
easured modal data contain accumulative errors incurred in modal param
eter extraction and provide much less information than FRF data, it is
more reasonable and reliable to use directly-measured FRF data for st
ructural damage detection. In this paper, a new damage detection algor
ithm is formulated to utilize an original analytical model and FRF dat
a measured prior and posterior to damage for structural damage detecti
on. Based on nonlinear perturbation equations of FRF data, an algorith
m has been derived which can be used to determine a damage vector indi
cating both location and magnitude of damage from perturbation equatio
ns of FRF data. An additional development with respect to the proposed
technique is an effective technique introduced for weighting perturba
tion equations of FRF data at selected locations and frequencies so as
to reduce influence of measurement errors on accuracy of damage detec
tion to the minimum. For extension of the proposed algorithm to cases
of incomplete measurement in terms of coordinates, an iterative versio
n of the proposed algorithm has been introduced. The validity and appl
icability of the proposed damage detection algorithm have been demonst
rated through numerical and experimental studies on a practical plane
3-bay frame structure, respectively.