Wavelet analysis has been extensively used in damage detection due to its inherent merits
over traditional Fourier transforms, and it has been applied to identify abnormality from
vibration mode shapes in structural damage identification. However, most related studies
have only demonstrated its ability to identify the abnormality of retrieved mode shapes
with a relatively higher signal-to-noise ratio, and its incapability of identifying slight
abnormality usually corrupted by noise is still a challenge. In this paper, a new
technique (so-called 'integrated wavelet transform (IWT)') of taking synergistic
advantages of the stationary wavelet transform (SWT) and the continuous wavelet
transform (CWT) is proposed to improve the robustness of abnormality analysis of
mode shapes in damage detection. Two progressive wavelet analysis steps are
considered, in which SWT-based multiresolution analysis (MRA) is first employed to
refine the retrieved mode shapes, followed by CWT-based multiscale analysis
(MSA) to magnify the effect of slight abnormality. The SWT-MRA is utilized to
separate the multicomponent modal signal, eliminate random noise and regular
interferences, and thus extract purer damage information, while the CWT-MSA is
employed to smoothen, differentiate or suppress polynomials of mode shapes to
magnify the effect of abnormality. The choice of the optimal mother wavelet in
damage detection is also elaborately addressed. The proposed methodology of the
IWT is evaluated using the mode shape data from the numerical finite element
analysis and experimental testing of a cantilever beam with a through-width
crack. The methodology presented provides a robust and viable technique to
identify minor damage in a relatively lower signal-to-noise ratio environment.