A Mathematical Transform to Analyze Part Surface Quality in Manufacturing

[+] Author and Article Information
Irem Y. Tumer

Computational Sciences, NASA Ames Research Center, Moffett Field, CA 94035-1000 e-mail: itumer@ptolemy.arc.nasa.gov

Kristin L. Wood

Mechanical Engineering, The University of Texas, Austin, TX 78712-1063 e-mail: wood@mail.utexas.edu

Ilene J. Busch-Vishniac

Whiting School of Engineering, Johns Hopkins University, Baltimore, MD 21218 e-mail: ilenebv@jhu.edu

J. Manuf. Sci. Eng 122(1), 273-279 (Aug 01, 1999) (7 pages) doi:10.1115/1.538904 History: Received December 01, 1997; Revised August 01, 1999
Copyright © 2000 by ASME
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Whitehouse, D., 1994, “Handbook of Surface Metrology,” Institute of Physics, Bristol, UK.
Zemel, M., and Otto, K., 1996, “Use of Injection Molding Simulation to Assess Critical Dimensions and Assign Tolerances,” The 1996 ASME Design Engineering Technical Conference and Computers in Engineering Conference, Vol. DETC96-DFM1277 (CD ROM).
Sottile,  J., and Holloway,  L. E., 1994, “An Overview of Fault Monitoring and Diagnosis in Mining Equipment,” IEEE Trans. Ind. Appl., 30, No. 5, pp. 1326–1332.
Berry,  J. E., 1991, “How to Track Rolling Element Bearing Health With Vibration Signature Analysis,” Sound Vib., 25, No. 11, pp. 24–35.
Fackrell, J., White, P., and Hammond, J., 1994, “Bispectral Analysis of Periodic Signals in Noise: Theory, Interpretation, and Condition Monitoring,” in EUSIPCO’94, Edinburgh, UK.
Geng,  Z., and Qu,  L., 1994, “Vibrational Diagnosis of Machine Parts Using the Wavelet Packet Technique,” Br. J. Non-Destr. Test, 36, No. 1, pp. 11–15.
Jones, R. M., 1994, “A Guide to the Interpretation of Machinery Vibration Measurements,” Part I, Sound Vib., pp. 24–35.
Rao,  P., Taylor,  F., and Harrison,  G., 1990, “Real-time Monitoring of Vibration Using the Wigner Distribution,” Sound Vib., 24, No. 5, pp. 22–25.
Rohrbaugh, R. A., 1993, “Application of Time-frequency Analysis to Machinery Condition Assessment,” The 27th Asilomar Conference on Signals, Systems, and Computers, Vol. 2, 1455–1458.
Whitehouse,  D., and Zheng,  K., 1992, “The Use of Dual Space-frequency Functions in Machine Tool Monitoring,” Meas. Sci. Technol., 3, No. 9, pp. 796–808.
Kasashima,  N., Ruiz,  G. H., and Taniguchi,  N., 1995, “Online Failure Detection in Face Milling Using Discrete Wavelet Transform,” Ann. CIRP, 44, No. 1, pp. 483–487.
Lee,  S.-H., Zahouani,  H., Caterini,  R., and Mathia,  T., 1998, “Morphological Characterization of Engineered Surfaces by Wavelet Transform,” Int. J. Mach. Tool Manuf., 38, Nos. 5 and 6, pp. 581–589.
Ladd, M. D., 1995, “Detection of Machinery Faults in Noise Using Wavelet Transform Techniques,” Ph.D. Thesis, The University of Texas, Austin, TX.
Barker,  R., Klutke,  G., and Hinich,  M., 1993, “Monitoring Rotating Tool Wear Using Higher-order Spectral Features,” J. Eng. Ind., 115, pp. 23–29.
Kozek, W., 1993, “Matched Generalized Gabor Expansion of Nonstationary Processes, The 27th Asilomar Conference on Signals, Systems, and Computers,” Vol. 1, 499–503.
Algazi,  V., Brown,  K., and Ready,  M., 1993, “Transform Representation of the Spectra of Acoustic Speech Segments with Applications, Part I: General Approach and Application to Speech Recognition,” IEEE Trans. Speech Audio Process., 1, No. 2, pp. 180–185.
Ball,  K., Sirovich,  L., and Keefe,  L., 1991, “Dynamical Eigenfunction Decomposition of Turbulent Channel Flow,” Int. J. Numer. Methods Fluids , 12, pp. 585–604.
Graham,  M., Lane,  S., and Luss,  D., 1993, “Proper Orthogonal Decomposition Analysis of Spatiotemporal Temperature Patterns,” J. Phys. Chem., 97, No. 4, pp. 889–894.
Grigoriev,  A., Chizhik,  S., and Myshkin,  N., 1998, “Texture Classification of Engineering Surfaces with Nanoscale Roughness,” Int. J. Mach. Tool Manuf., 38, Nos. 5 and 6, pp. 719–724.
Martin,  E., Morris,  A., and Zhang,  J., 1996, “Process Performance Monitoring Using Multivariate Statistical Process Control,” IEE Proc.-D: Control Theory Appl., 143, No. 2, pp. 132–144.
Sirovich,  L., and Keefe,  L., 1987, “Low-dimensional Procedure for the Characterization of Human Faces,” J. Opt. Soc. Am., 4, No. 3, pp. 519–524.
Fukunaga, K., 1990, Introduction to Statistical Pattern Recognition, Academic, New York.
Therrien, C., 1992, Discrete Random Signals and Statistical Signal Processing, Prentice Hall, Englewood Cliffs, NJ.
Tumer, I., Wood, K., and Busch-Vishniac, I., 1997, “Improving Manufacturing Precision Using the Karhunen-Loève Transform,” 1997 ASME Design for Manufacturing Conference, Integrated Design Symposium, Vol. DETC97-DFM4347 (cdrom).
Tumer, I., Wood, K., and Busch-Vishniac, I., 1998, “Condition Monitoring Methodology for Manufacturing and Design,” in 1998 ASME Design for Manufacturing Conference, Vol. DETC98-DFM5724 (cdrom).
Jacobs, P., 1992, Rapid Prototyping and Manufacturing: Fundamentals of StereoLithography, Society of Manufacturing Engineers, New York.
Tumer,  I., Thompson,  D., Wood,  K., and Crawford,  R., 1998, “Characterization of Surface Fault Patterns with Application to a Layered Manufacturing Process,” J. Manuf. Syst., 17, No. 1, pp. 23–36.


Grahic Jump Location
Normal versus faulty state 1: (a) eigenvector: low frequency component; (b) coefficient vectors, low-frequency eigenvectors; (c) eigenvector: high frequency component; (d) coefficient vectors, high-frequency eigenvectors
Grahic Jump Location
Principal eigenprofiles and coefficient vector for faulty state 2. (a) Eigenvectors No. 1 and 2; (b) coefficient vector No. 1.
Grahic Jump Location
Eigenvectors and coefficient vectors for fault state 3: (a) eigenvector: low frequency component; (b) coefficient vector (low frequency); (c) eigenvector: high frequency component; (d) coefficient vector (high frequency)
Grahic Jump Location
Surface measurement of part No. 1
Grahic Jump Location
Surface measurement of part No. 2
Grahic Jump Location
Karhunen-Loève analysis of surfaces from part No. 2: (a) eigenvectors; (b) spectrum of eigenvector No. 2.




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