Resonance inspection (RI), which employs the natural frequency spectra shift between the good and the anomalous part populations to detect defects, is a nondestructive evaluation (NDE) technique with many advantages, such as low inspection cost, high testing speed, and broad applicability to structures with complex geometry compared to other contemporary NDE methods. It has already been widely used in the automobile industry for quality inspections of safety critical parts. Unlike some conventionally used NDE methods, the current RI technology is unable to provide details, i.e., location, dimension, or types, of the flaws for the discrepant parts. Such limitation severely hinders its widespread applications and further development. In this study, an inverse RI algorithm based on maximum correlation function is proposed to quantify the location and size of flaws for a discrepant part. A dog-bone-shaped stainless steel sample with and without controlled flaws is used for algorithm development and validation. The results show that multiple flaws can be accurately pinpointed back, using the algorithms developed, and the prediction accuracy decreases with increasing flaw numbers and decreasing distance between flaws.

References

1.
Nath
,
R.
,
Schwarz
,
J.
,
Johnson
,
M. K.
,
Long
,
J.
, and
Saxton
,
J.
, 2004, “
Correlation of Quasar Resonant Inspection Measurements With Yield Force in Powder Metal Parts
,”
International Conference on Powder Metallurgy and Particulate Materials
,
Chicago, IL
, June
13
17
.
2.
Stultz
,
G. R.
,
Bono
,
R. W.
, and
Schiefer
,
M. I.
, 2005, “
Fundamentals of Resonant Acoustic Method NDT
,”
Advances in Powder Metallurgy and Particular Materials-2005: proceedings of the 2005 International Conference on Powder Metallurgy & Particulate Materials: PM2TEC, Montreal, Canada, June 19–23
, MPIF, Princeton, NJ.
3.
Adams
,
R. D.
,
Cawley
,
P.
,
Pye
,
C. J.
, and
Stones
,
B. J.
, 1978, “
A Vibration Technique For Non-Destructively Assessing the Integrity of Structures
,”
J. Mech. Eng. Sci.
,
20
, pp.
93
100
.
4.
Gudmundson
,
P.
, 1982, “
Eigenfrequency Changes of Structures Due to Cracks, Notches or Other Geometrical Changes
,”
J. Mech. Phys. Solids
,
30
(
5
), pp.
339
353
.
5.
Gudmundson
,
P.
, 1983, “
The Dynamic Behavior of Slender Structures With Cross-Sectional Cracks
,”
J. Mech. Phys. Solids
,
31
(
4
), pp.
329
345
.
6.
Morassi
,
A.
, 1993, “
Crack-Induced Changes in Eigenparameters of Beam Structures
,”
ASCE J. Eng. Mech.
,
119
(
9
), pp.
1798
1803
.
7.
Narkis
,
Y.
, 1994, “
Identification of Crack Location in Vibrating Simply Supported Beams
,”
J. Sound Vib.
,
172
, pp.
549
558
.
8.
Morassi
,
A.
, 2001, “
Identification of a Crack in a Rod Based on Changes in a Pair of Natural Frequencies
,”
J. Sound Vib.
,
242
(
4
), pp.
577
596
.
9.
Dilena
,
M.
, and
Morassi
,
A.
, 2004, “
The Use of Antiresonances for Crack Detection in Beams
,”
J. Sound Vib.
,
276
(
1–2)
, pp.
195
214
.
10.
Morassi
,
A.
, 2007, “
Damage Detection and Generalized Fourier Coefficients
,”
J. Sound Vib.
,
302
(
1–2
), pp.
229
259
.
11.
Dilena
,
M.
, and
Morassi
,
A.
, 2010, “
Reconstruction Method for Damage Detection in Beams Based on Natural Frequency and Antiresonant Frequency Measurement
,”
ASCE J. Eng. Mech.
,
136
(
3
), pp.
329
344
.
12.
Shen
,
M. H. H.
, and
Taylor
,
J. E.
, 1991, “
An Identification Problem for Vibrating Cracked Beams
,”
J. Sound Vib.
,
150
(
3
), pp.
457
484
.
13.
Cerri
,
M. N.
, and
Vestroni
,
F.
, 2000, “
Detection of Damage in Beams Subjected to Diffused Cracking
,”
J. Sound Vib.
,
234
(
2
), pp.
259
276
.
14.
Vestroni
,
F.
, and
Capecchi
,
D.
, 2000, “
Damage Detection in Beam Structures Based on Frequency Measurements
,”
ASCE J. Eng. Mech.
,
126
, pp.
761
768
.
15.
Capecchi
,
D.
, and
Vestroni
,
F.
, 2000, “
Monitoring of Structural Systems by Using Frequency Data
,”
Earthquake Eng. Struct. Dyn.
,
28
, pp.
447
461
.
16.
Sun
,
X.
, and
Jones
,
M.
, 2008, “
NDE 701: Enhanced Resonance Inspection for Light Metal Catings.
US-DOE Automotive Lightweighting Materials
, FY 2007–2008 Annual Progress Report.
17.
Lai
,
C.
,
Sun
,
X.
,
Jones
,
M.
,
Dasch
,
C.
, and
Hamon
,
G.
, 2011, “
Quantify Resonance Inspection With Finite-Element-Based Modal Analyses
,”
ASME J. Vibr. Acoust.
,
133
(
3
), p.
031004
.
18.
Shao
,
R.
,
Huang
,
X.
, and
Li
,
Y.
, 2009, “
Influence of Crack on Structure Vibration of Gear Tooth
,”
J. Fail. Anal. Prev.
,
9
, pp.
563
571
.
19.
Lai
,
C.
, and
Sun
,
X.
, 2011, “
Flaw-Induced Resonance Spectrum Shift With Theoretical Pertubation Analysis
,”
J. Sound Vib.
(submitted).
20.
Auld
,
B. A.
, 1973,
Acoustic Fields and Waves in Solids
,
John Wiley & Sons
,
New York
.
21.
ABAQUS, 2010, “
Analysis User’s Manual Version 6.10.
22.
Kendall
,
M. G.
, 1946,
The Advanced Theory of Statistics
,
Charles Griffin & Co. Ltd
,
London
.
23.
Srivastava
,
M. S.
, 2002,
Methods of Multivariate Statistics
,
Wiley Interscience
,
New York
.
24.
Lai
,
C.
,
Sun
,
X.
,
Jones
,
M.
,
Dasch
,
C.
, and
Hamon
,
G.
, 2009, “
NDE 701: Enhanced Resonance Inspection for Light Weight Castings
,”
Pacific Northwest National Laboratory
Report No. PNNL-18630.
25.
Pearson
,
K.
, 1894, “
Contribution to the Mathematical Theory of Evolution
,”
Phil. Trans. R. Soc. Lond. A
,
185
, pp.
71
110
.
26.
Lin
,
L. I.
, 1989, “
A Concordance Correlation Coefficient to Evaluate Reproducibility
Biometrics
,
45
(
1
), pp.
255
268
.
27.
Moulin
,
D.
, and
Roche
,
R. L.
, 1985, “
Correction of the Poisson Effect in the Elastic Analysis of Low-Cycle Fatigue
,”
Int. J. Pressure Vessels Piping
,
19
, pp.
213
233
.
28.
Ihn
,
J. B.
, and
Chang
,
F. K.
, 2004, “
Detection and Monitoring of Hidden Fatigue Crack Growth Using a Built-in Piezoelectric Sensor/Actuator Network: I, Diagnostics
,”
Smart Mater. Struct.
,
13
, pp.
609
620
.
29.
Buurman
,
R. D.
, and
Snoep
,
A. P.
, 1972, “
Changes of Shear Modulus and Internal Friction in Fatigued Copper
,”
Acta Metall. Mater.
,
20
(
3
), pp.
407
413
.
30.
Kunc
,
R.
, and
Prebil
,
I.
, 2003, “
Low-Cycle Fatigue Properties of Steel 42CrMo4
,”
Mater. Sci. Eng. A
,
345
(
1–2
), pp.
278
285
.
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