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TECHNICAL BRIEF

Evaluation of Minimum Zone Straightness by a Nonlinear Optimization Method

[+] Author and Article Information
Elsayed Orady, Songnian Li, Yubao Chen

Industrial & Manufacturing Systems Engineering Department, The University of Michigan-Dearborn, 4901 Evergreen Road, Dearborn, MI 48128

J. Manuf. Sci. Eng 122(4), 795-797 (Jun 01, 1999) (3 pages) doi:10.1115/1.1285880 History: Received February 01, 1996; Revised June 01, 1999
Copyright © 2000 by ASME
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References

ASME, 1994, “Mathematical Definition of Dimensioning and Tolerancing,” ASME Y14.5.1M-1994.
Fukuda, M., and Shimokohbe, A., 1984, “Algorithms for Form Evaluation, Methods of Minimum Zone and Least Squares,” Proceedings of the International Symposium on Metrology for Quality Control in Production, Tokyo, 197–202.
Lai, K. W., and Wang, J., 1988, “A Computational Geometry Approach to Geometric Tolerancing,” The 16th NAMRI, 376–379.
Mark,  T. T., Sanjay,  J., Richard,  A. W., and Tom,  M. C., 1989, “Evaluation of Straightness and Flatness Tolerances Using the Minimum Zone,” Manuf. Rev.,2, No. 3, pp. 189–195.
Huang,  S. T., Fan,  K. C., and John,  H. W., 1993, “A New Minimum Zone Method for Evaluating Straightness Errors,” Precis. Eng., 15, No. 3, pp. 158–165.
Shunmugam,  M. S., 1986, “On Assessment of Geometric Errors,” Int. J. Prod. Res.,24, No. 2, pp. 413–425.
Wang,  Y., 1992, “Minimum Zone Evaluation of Form Tolerances,” Manuf. Rev.,5, No. 3, pp. 213–220.
Shunmugam,  M. S., 1986, “Establishing Reference Figures for Form Evaluation of Engineering Surfaces,” J. Manuf. Syst.,10, No. 4, pp. 314–321.
Kanada,  T., and Suzukit,  S., 1993, “Evaluation of Minimum Zone Flatness by Means of Nonlinear Optimization Techniques and its Verification,” Precis. Eng., 15, No. 2, pp. 93–99.
Elmaraghy,  W. H., Elmaraghy,  H. A., and Wu,  Z., 1990, “Determination of Actual Geometric Deviations Using Coordinate Measuring Machine Data,” Manuf. Rev.,3, No. 1, pp. 32–39.
Carr,  K., and Ferreira,  P., 1995, “Verification of Form Tolerances, Part I: Basic Issues, Flatness, and Straightness,” Precis. Eng., 17, No. 2, pp. 131–143.
Carr,  K., and Ferreira,  P., 1995, “Verification of Form Tolerances, Part II: Cylindricity and Straightness of a Median Line,” Precis. Eng., 17, No. 2, pp. 144–156.
ASME, 1982, “Dimensioning and Tolerancing,” ASME Y14.5M-1982.
Grubbs,  Frank E., 1969, “Procedures for Detecting Outlying Observations in Samples,” Technometrics, 11, No. 1, pp. 1–21.

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Grahic Jump Location
Illustration of straightness zone criteria

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