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TECHNICAL PAPERS

Form Error Estimation Using Spatial Statistics

[+] Author and Article Information
Tai-Hung Yang, John Jackman

Department of Industrial and Manufacturing Systems Engineering, Iowa State University, Ames, IA 50011

J. Manuf. Sci. Eng 122(1), 262-272 (Aug 01, 1999) (11 pages) doi:10.1115/1.538903 History: Received May 01, 1997; Revised August 01, 1999
Copyright © 2000 by ASME
Topics: Errors
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References

Yang,  T. H., and Jackman,  J., 1997, “A Probabilistic View of Problems in Form Error Estimation,” ASME J. Manuf. Sci. Eng. 119, No. 3, pp. 375–382.
Palanivelu, D., Hari, Y., Chen, K., Yang, J., Raja, J., and Hocken, R., 1991, “Testing of Algorithms for Coordinate Measuring Machines,” Proceedings of the International Precision Engineering Seminar Joint International Conference of the 6th Precision Engineering and the 2nd Ultraprecision in Manufacturing Engineering, May 1991, Secaucus, NJ, pp. 82–84.
Yan, Z., and Menq, C., 1995, “Uncertainty Analysis for Coordinate Estimation Using Discrete Measurement Data,” Proceedings of Manufacturing Science and Engineering, 1 , pp. 595–616, ASME International Mechanical Engineering Congress and Exposition, November 12–17, 1995, San Francisco, CA.
Yang,  B., and Menq,  C., 1993, “Compensation for Form Error of End-Milled Sculptured Surface Using Discrete Measurement Data,” Int. J. Machine Tools Manuf., 33, pp. 725–740.
Kurfess,  T., Banks,  D., and Wolfson,  L., 1996, “A Multivariate Statistical Approach to Metrology,” ASME J. Manuf. Sci. Eng., 118, pp. 652–657.
Stout, K., Davis, E., and Sullivan, P., 1990, Atlas of Machined Surfaces, Kluwer Academic Publishers, London, U.K.
Cressie, N., 1993, Statistics for Spatial Data, Revised Edition, Wiley, New York, NY.
Sayles,  R. S., and Thomas,  T. R., 1977, “The Spatial Representation of Surface Roughness by Means of the Structure Function: A Practical Alternative to Correlation,” Wear, 42, pp. 263–276.
Sayles,  R. S., and Thomas,  T. R., 1979, “Measurements of the Statistical Microgeometry of Engineering Surfaces,” J. Lubr. Technol., 101F, pp. 409–418.
Venables, W. N., and Ripley, B. D., 1994, Modern Applied Statistics with S-Plus, Springer, New York, NY.
Becker, R. A., 1988, The New S Language: A Programming Environment for Data Analysis and Graphics, Pacific Grove, CA: Wadsworth & Brooks/Cole Advanced Books & Software.
Ripley, B. D., 1981, Spatial Statistics, Wiley, New York, NY.
Barber, C. B., Dobkin, D. P., and Huhdanpaa, 1993, The Quickhull Algorithm for Convex Hull, Technical Report No. GCG53, The National Science and Technology Research Center for Computation and Visualization of Geometric Structures, University of Minnesota.

Figures

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Sample points (100) taken from the bored surface
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Variograms and correlograms for 100 data points. (a) and (b) Sample points; (c) and (d) residuals from first-order surface; and (e) and (f ) residuals from second-order surface.
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Fitted surface (a) and standard error of the prediction error (b) for exponential model with ae=8.
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Fitted surface (a) and standard error of the prediction error (b) for wave model with aw=5
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Histogram of deviations from minimum zone mean profile
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Correlograms obtained from 1000 points on each surface. (a) End milling; (b) grinding; (c) fly cut; (d) boring; and (e) shaping.
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Correlograms of 100 and 25 points from boring surface
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Universal kriging result of 100 sampling points taken from surface bocl 1
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Flatness error estimation

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