During the service life of structures, fatigue cracks may occur in structural components due to dynamic loadings acting
on them, such as wind loads, live loads and ground motion. If undetected timely, these fatigue cracks may lead to a
catastrophic failure of the overall structure. Although a number of approaches to detecting fatigue cracks have been
proposed, some of them appear rather sophisticated or expensive (requiring complicated equipment), and others suffer
from a lack of sensitivity. In this study, a simple approach to detecting fatigue cracks is developed based on the bilinear
behavior of fatigue cracks. First, a simple system identification method for bilinear systems is proposed by using the
dynamic characteristics of bilinear systems. This method transfers nonlinear system identification into linear system
identification by dividing impulse or free-vibration responses into different parts corresponding to each stiffness region
according to the stiffness interface. In this way, the natural frequency of each region can be identified using any modal
identification approach applicable to linear systems. Second, the procedure for identifying the existence of breathing
fatigue cracks and quantifying the cracks qualitatively is proposed by looking for the difference in the identified natural
frequency between regions. The proposed system identification method and crack detection procedure have been
successfully validated by numerical simulations.
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