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Technical Brief

Damage Detection of Steel Beam Using Frequency Response Function Measurement Data and Fractal Dimension

[+] Author and Article Information
Eun-Taik Lee

Department of Architectural Engineering,
Chung-Ang University,
Seoul 200-701, Korea
e-mail: etlee@cau.ac.kr

Hee-Chang Eun

Department of Architectural Engineering,
Kangwon National University,
Chuncheon, Gangwon-do 156-756, Korea
e-mail: heechang@kangwon.ac.kr

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received February 18, 2014; final manuscript received January 27, 2015; published online March 13, 2015. Assoc. Editor: Patrick S. Keogh.

J. Vib. Acoust 137(3), 034503 (Jun 01, 2015) (5 pages) Paper No: VIB-14-1053; doi: 10.1115/1.4029687 History: Received February 18, 2014; Revised January 27, 2015; Online March 13, 2015

Fractal-dimension-based signal processing has been extensively applied to various fields for nondestructive testing. The dynamic response signal can be utilized as an analytical tool to evaluate the structural health state without baseline data. The fractal features of the dynamic responses with fractal dimensions (FDs) were investigated using the Higuchi, Katz, and Sevcik methods. The waveform FD proposed by these methods was extracted from the measured frequency response function (FRF) data in the frequency domain. Damage was observed within this region, which resulted in an abrupt change in the curvature of the FD. The effectiveness of the methods was investigated via the results of a steel beam test and a numerical experiment to detect damage.

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Figures

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Fig. 1

Finite element model for a fixed-end beam: (a) a fixed-end beam, (b) undamaged cross section, and (c) damaged cross section

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Fig. 2

FRF receptance curve

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Fig. 3

FD curvature extracted from the FRF data in the neighborhood of the first resonance frequency: (a) Higuchi's method, (b) Katz's method, and (c) Sevcik's method

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Fig. 4

FD curvature extracted from the FRF data in the neighborhood of the second resonance frequency: (a) Higuchi's method, (b) Katz's method, and (c) Sevcik's method

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Fig. 5

A damaged beam for experimental work

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Fig. 6

Normalized FD extracted from the FRF data in the neighborhood of the first resonance frequency: (a) Higuchi's method, (b) Katz's method, and (c) Sevcik's method

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Fig. 7

FD curvature extracted from the FRF data in the neighborhood of the first resonance frequency: (a) Higuchi's method, (b) Katz's method, and (c) Sevcik's method

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