Form error estimation is an essential step in the assessment of product geometry created through one or more manufacturing processes. We present a new method using spatial statistics to estimate form error. Using large sets of uniform sample points measured from five common machined surfaces, we compare the form error estimates using individual points and fitted surfaces obtained through spatial statistical methods. The results show that spatial statistics can provide more accurate estimates of form error under certain conditions. [S1087-1357(00)01701-9]
Issue Section:
Technical Papers
1.
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
.2.
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.
3.
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.
4.
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
.5.
Kurfess
, T.
, Banks
, D.
, and Wolfson
, L.
, 1996
, “A Multivariate Statistical Approach to Metrology
,” ASME J. Manuf. Sci. Eng.
, 118
, pp. 652
–657
.6.
Stout, K., Davis, E., and Sullivan, P., 1990, Atlas of Machined Surfaces, Kluwer Academic Publishers, London, U.K.
7.
Cressie, N., 1993, Statistics for Spatial Data, Revised Edition, Wiley, New York, NY.
8.
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
.9.
Sayles
, R. S.
, and Thomas
, T. R.
, 1979
, “Measurements of the Statistical Microgeometry of Engineering Surfaces
,” J. Lubr. Technol.
, 101F
, pp. 409
–418
.10.
Venables, W. N., and Ripley, B. D., 1994, Modern Applied Statistics with S-Plus, Springer, New York, NY.
11.
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.
12.
Ripley, B. D., 1981, Spatial Statistics, Wiley, New York, NY.
13.
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.
Copyright © 2000
by ASME
You do not currently have access to this content.