This paper presents the first attempt of an application of the wavelet
theory for the crack identification of structures, As a case study, w
e consider the crack identification using the wavelet theory for a sim
ply supported beam with a transverse on-edge nonpropagating open crack
. A mathematical model of the cracked beam is derived and the wavelet
expressions in the space domain are proposed for solution. For compari
son purposes, the simply supported cracked beam is solved using both t
he eigentheory and the wavelet method of analysis. The results show th
at crack identification via wavelet analysis is accomplished easily wh
ereas it can hardly be detected by the traditional eigenvalue analysis
.