Paper
8 April 2008 Novel approximate waveform capacity dimension for damage identification of beam-type structures
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Abstract
Fractal as a novel mathematical tool has a great potential to deal with transit events in a complex waveform. In this paper, fractal is introduced to detect irregularity of vibration mode shapes without using a baseline requirement. Different from the popular Katz's waveform fractal dimension (KWD), a novel approximate waveform capacity dimension (AWCD) specialized in irregularity detection in vibration mode shapes is introduced, from which an AWCD-based modal abnormality algorithm (AWCD-MAA) is established. The fundamental characteristics of AWCD-MAA, such as crack location identification and size quantification, are investigated using an analytical crack model of cantilever beams. An experimental modal shape evaluation of a cracked composite cantilever beam using smart piezoelectric sensors/actuators (i.e., Piezoelectric lead-zirconate-titanate (PZT) and polyvinylidene fluoride (PVDF)) is conducted to confirm the feasibility of the proposed algorithm. The proposed AWCD-MAA is capable of locating and quantifying the crack in a beam-type structure without prior requirement of baseline reference data.
© (2008) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Pizhong Qiao and Maosen Cao "Novel approximate waveform capacity dimension for damage identification of beam-type structures", Proc. SPIE 6934, Nondestructive Characterization for Composite Materials, Aerospace Engineering, Civil Infrastructure, and Homeland Security 2008, 69340A (8 April 2008); https://doi.org/10.1117/12.775613
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Cited by 1 scholarly publication.
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KEYWORDS
Ferroelectric polymers

Composites

Fractal analysis

Panoramic photography

Sensors

Beam shaping

Ferroelectric materials

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