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Research Papers

Nonlinear Damage Localization in Structures Using Nonlinear Vibration Modulation of Ultrasonic-Guided Waves

[+] Author and Article Information
Qingbo He

Department of Precision Machinery and
Precision Instrumentation,
University of Science and Technology of China,
Hefei, Anhui 230026, China
e-mail: qbhe@ustc.edu.cn

Yong Shao, Zeping Liao

Department of Precision Machinery and
Precision Instrumentation,
University of Science and Technology of China,
Hefei, Anhui 230026, China

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 11, 2016; final manuscript received October 10, 2016; published online December 7, 2016. Assoc. Editor: Matthew Brake.

J. Vib. Acoust 139(2), 021001 (Dec 07, 2016) (10 pages) Paper No: VIB-16-1114; doi: 10.1115/1.4035111 History: Received March 11, 2016; Revised October 10, 2016

This paper proposes a method for nonlinear damage localization in the beam and plate structures with nonlinear vibration modulation of ultrasonic-guided waves. In the proposed technique, the damaged metal beam and plate are designed to form a cantilever structure. A magnetic system is also involved in the model to control the dynamics of this cantilever structure. The oscillation model exhibits nonlinear vibration that is used to modulate the ultrasonic-guided waves. By utilizing a synchronous phase-locked demodulation technique, the nonlinear reflection profile from the nonlinear scatterer is extracted and employed for localizing the nonlinear damage. The proposed technique has the merits of being perceptive to nonlinear scattering sources, without requiring a damage-free signal, and with enhanced performance at a wide range of frequencies. These merits have been experimentally validated by localizing fatigue crack in a metal beam and imaging simulated contact defect in a metal plate. The proposed technique is suitable in the structural health monitoring (SHM) for nonlinear damage localization in the absence of a baseline signal by ultrasonic-guided waves.

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Figures

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Fig. 1

(a) Basic physical model of the nonlinear damage localization illustrated in the 1D beam structure and (b) concept of nonlinear vibration modulation of ultrasonic-guided waves for linear model and nonlinear model at a frequency out-of-resonance of the cantilever

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Fig. 2

(a) The potential functions of the cantilever oscillator and (b) frequency responses of tip root-mean-square (RMS) displacement for the linear oscillator (d=+∞) and nonlinear oscillator (d = 5.15 mm)

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Fig. 3

Schematic diagram of the instrument setup

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Fig. 4

Schematic of the 2D plate structure experimental setup for nonlinear damage localization: (a) the vertical view and (b) the front view

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Fig. 5

Illustration of 1D localization principle of the nonlinear damage

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Fig. 6

Illustration of 2D localization principle of the nonlinear damage

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Fig. 7

Frequency responses of the linear oscillator (d = +∞) and nonlinear oscillator (d = 5.15 mm): peak values of SPWVD

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Fig. 8

The demodulated nonlinear reflection profiles and corresponding SPWVDs of the healthy beam: (a) demodulated signal under 6 Hz harmonic excitation, (b) demodulated signal under 8 Hz harmonic excitation, (c) the SPWVD under 6 Hz harmonic excitation, and (d) the SPWVD under 8 Hz harmonic excitation

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Fig. 9

The demodulated nonlinear reflection profiles of the cracked beam: (a) linear oscillator system under 6 Hz harmonic excitation, (b) nonlinear oscillator system under 6 Hz harmonic excitation, (c) linear oscillator system under 8 Hz harmonic excitation, and (d) nonlinear oscillator system under 8 Hz harmonic excitation

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Fig. 10

SPWVDs of the demodulated nonlinear reflection profiles of the cracked beam: (a) linear oscillator system under 6 Hz harmonic excitation, (b) nonlinear oscillator system under 6 Hz harmonic excitation, (c) linear oscillator system under 8 Hz harmonic excitation, and (d) nonlinear oscillator system under 8 Hz harmonic excitation

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Fig. 11

The localization results in the 1D beam structure for (a) linear oscillator (d = +∞) system and (b) nonlinear oscillator (d = 5.15 mm) system

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Fig. 12

Diagram of actual distribution of the piezoelectric ceramics pairs and the imaging area in the plate experiment

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Fig. 13

The damage imaging results in the plate (the cycle symbols “o” denote the locations of four pairs of piezoelectric ceramics and the star symbols “*” mark the real location of the simulated defect in the plate): the healthy plate at (a) 4 Hz (d = +∞) and (b) 6 Hz (d = +∞), the damaged plate with the linear oscillator at (c) 4 Hz (d = +∞) and (d) 6 Hz (d = +∞), and the damaged plate with the nonlinear oscillator at (e) 4 Hz (d = 18 mm) and (f) 6 Hz (d = 18 mm)

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