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Research Papers

Nonlinear System Identification and Modeling of a New Fatigue Testing Rig Based on Inertial Forces

[+] Author and Article Information
Michael Falco, Ming Liu, Son Hai Nguyen

Department of Mechanical,
Industrial and Systems Engineering,
University of Rhode Island,
Kingston, RI 02881

David Chelidze

Department of Mechanical,
Industrial and Systems Engineering,
University of Rhode Island,
Kingston, RI 02881
e-mail: chelidze@egr.uri.edu

R = σminmax, where σmin is the minimum peak stress and σmax is the maximum peak stress.

Currently, break of a specimen is indicated by the saturation of the eddy current sensor which usually happens after a crack reaches its fracture stage.

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received April 17, 2013; final manuscript received March 23, 2014; published online April 18, 2014. Assoc. Editor: Jiong Tang.

J. Vib. Acoust 136(4), 041001 (Apr 18, 2014) (8 pages) Paper No: VIB-13-1113; doi: 10.1115/1.4027317 History: Received April 17, 2013; Revised March 23, 2014

A novel fatigue testing rig based on inertial forces is introduced. The test rig has capacity to mimic various loading conditions including high frequency loads. The rig design allows reconfigurations to accommodate a range of specimen sizes, and changes in structural elements and instrumentation. It is designed to be used as a platform to study the interaction between fatigue crack propagation and structural dynamics. As the first step to understand this interaction, a numerical model of testing rig is constructed using nonlinear system identification approaches. Some initial testing results also are reported.

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References

Little, R., and Jebe, E., 1975, Statistical Design of Fatigue Experiments, Applied Science Publishers Ltd., London.
Stephens, R. I., Fatemi, A., Stephens, R. R., Fuchs, H. O., and Faterni, A., 2000, Metal Fatigue in Engineering, Wiley-Interscience, New York.
Lee, Y.-L., Pan, J., Hathaway, R., and Barkey, M., 2004, Fatigue Testing and Analysis: Theory and Practice, Butterworth-Heinemann, Oxford, UK.
Shawki, G. S., 1990, “A Review of Fatigue Testing Machines,” Eng. J. Qatar Univ., 3, pp. 55–69.
Weibull, W., 1960, Fatigue Testing and Analysis of Results, Advisory Group for Aeronautical Research and Development, North Atlantic Treaty Organization, Neuilly sur Seine, France.
Bathias, C., 2006, “Piezoelectric Fatigue Testing Machines and Devices,” Int. J. Fatigue, 28(11), pp. 1438–1445. [CrossRef]
Foong, C.-H., Wiercigroch, M., and Deans, W. F., 2006, “Novel Dynamic Fatigue-Testing Device: Design and Measurements,” Meas. Sci. Technol., 17(8), pp. 2218–2226. [CrossRef]
Nguyen, S. H., Falco, M., Liu, M., and Chelidze, D., 2014, “Different Fatigue Dynamics Under Statistically and Spectrally Similar Deterministic and Stochastic Excitations,” ASME J. Appl. Mech., 81(4), p. 041004. [CrossRef]
Chelidze, D., Cusumano, J., and Chatterjee, A., 2002, “Dynamical Systems Approach to Damage Evaluation Tracking, Part I: Description and Experimental Application,” ASME J. Vib. Acoust., 124(2), pp. 250–257. [CrossRef]
Chelidze, D., and Liu, M., 2004, “Dynamical Systems Approach to Fatigue Damage Identification,” J. Sound Vib., 281(3-5), pp. 887–904. [CrossRef]
Chelidze, D., and Cusumano, J., 2006, “Phase Space Warping: Nonlinear Time Series Analysis for Slowly Drifting Systems,” Philos. Trans. R. Soc. A, 364(1846), pp. 2495–2513. [CrossRef]
Chelidze, D., and Liu, M., 2008, “Reconstructing Slow-Time Dynamics From Fast-Time Measurements,” Philos. Trans. R. Soc. A, 366(1866), pp. 729–745. [CrossRef]
ASTM, 2008, “Standard Test Methods for Measurement of Fracture Toughness.” Annual Book of ASTM Standards, American Society for Testing and Materials, Philadelphia, PA, Standard No. ASTM-E1820-08a. [CrossRef]
Dingwell, J., Napolitano, D., and Chelidze, D., 2006, “A Nonlinear Approach to Tracking Slow-Time-Scale Changes in Movement Kinematics,” J. Biomech., 40(7), pp. 1629–1634. [CrossRef] [PubMed]
Chelidze, D., and Liu, M., 2006, “Multidimensional Damage Identification Based on Phase Space Warping: An Experimental Study,” Nonlinear Dyn., 46(1–2), pp. 887–904. [CrossRef]
Chelidze, D., 2004, “Identifying Multidimensional Damage in a Hierarchical Dynamical System,” Nonlinear Dyn., 37(4), pp. 307–322. [CrossRef]
Verboven, P., 2002, “Frequency-Domain System Identification for Modal Analysis,” Ph.D. thesis, Vrije Universiteit Brussel, Brussels, Belgium.
Kerschen, G., Worden, K., Vakakis, A. F., and Golinval, J.-C., 2006, “Past, Present and Future of Nonlinear System Identification in Structural Dynamics,” Mech. Syst. Signal Process., 20(3), pp. 505–592. [CrossRef]
Farrar, C. R., Cornwell, P. J., Doebling, S. W., and Prime, M. B., 2000, “Structural Health Monitoring Studies of the Alamosa Canyon and I-40 Bridges,” Los Alamos National Laboratory, Los Alamos, NM, Technical Report LA-13635-MS. [CrossRef]
Farrar, C. R., Worden, K., Michael, D., Todd, G. P., Nichols, J., Adams, D. E., Bement, M. T., and Farinholt, K., 2007, “Nonlinear System Identification for Damage Detection,” Los Alamos National Laboratory, Los Alamos, NM, Technical Report LA-14353.
Surace, C., Worden, K., and Tomlinson, G. R., 1992, “An Improved Nonlinear Model for an Automotive Shock Absorber,” Nonlinear Dyn., 3(6), pp. 413–429. [CrossRef]
Sibson, R., 1985, Manual for the TILE4 Interpolation Package, Department of Mathematics and Statistics, University of Bath, Bath, UK.
Olsson, H., Astrom, K. J., de Wit, C. C., Gafvert, M., and Lischinsky, P., 1998, “Friction Models and Friction Compensation,” Eur. J. Control, 4(3), pp. 176–195. [CrossRef]
Mohammad, K., Wordena, K., and Tomlinson, G., 1992, “Direct Parameter Estimation for Linear and Non-Linear Structures,” J. Sound Vib., 152(3), pp. 471–499. [CrossRef]
Lewis, R. M., and Torczon, V., 1999, “Pattern Search Algorithms for Bound Constrained Minimization,” SIAM J. Optim., 9(4), pp. 1082–1099. [CrossRef]

Figures

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Fig. 1

Schematic of the fatigue testing apparatus. (1) Flexible connector, (2) slip table, (3) back cylinder, (4) rail, (5) back mass block, (6) specimen supports, (7) specimen, (8) front mass block, and (9) front cylinder.

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Fig. 2

Beam diagram with applied forces

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Fig. 3

Photograph of the system

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Fig. 4

Model of a specimen

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Fig. 5

(a) Phase space of the specimen under chaotic loading and (b) ACPD measurement and the specimen oscillations based damage estimate

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Fig. 6

Crack in the specimen at the end of an experiment

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Fig. 7

Frequency response function for different load levels

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Fig. 8

A simplified model for the fatigue testing rig

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Fig. 9

Left: distribution of data points and area used to generate RFS; right: generated RFS

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Fig. 10

Left: slice view of RFS when x·=0; right: slice view of RFS when x = 0

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Fig. 11

Left: surface generated using parameters from DPE; right: the error between the modeled surface and the generated RFS

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Fig. 12

Comparison between the measured base acceleration (thin light line) and the simulated base acceleration (thick dark line) for 0.1034 MPa in the cylinders

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Fig. 13

Relationship between nonlinearity and vibration amplitude

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