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TECHNICAL PAPERS

Parametric-Based Determination of Cylindrical Variations in Geometric Tolerancing

[+] Author and Article Information
C. Carolina Bárcenas, Paul M. Griffin

School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0205

J. Manuf. Sci. Eng 122(3), 549-555 (Sep 01, 1999) (7 pages) doi:10.1115/1.1286085 History: Received November 01, 1998; Revised September 01, 1999
Copyright © 2000 by ASME
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References

The American Society of Mechanical Engineers, 1994, American National Standard Engineering Drawings & Related Documentation Practice, Dimensioning & Tolerancing, ANSI Y14.5M-1994, ASME, New York.
Dowling,  M. M., Griffin,  P. M., Tsui,  K. L., and Zhou,  C., 1995, “Comparison of the Orthogonal Least Squares and Minimum Enclosing Zone Methods for Form Error Estimation,” Manuf. Rev., 8, pp. 120–138.
Griffin,  P., and Messimer,  S., 1992, “Object Pose Determination from Range Data,” Comput. Ind. Eng., 22, pp. 245–256.
Pentland,  A. P., 1986, “Perceptual Organization and the Representation of Natural Forms,” Artif. Intel., 28, pp. 293–331.
Solina,  F., and Bajcsy,  R., 1990, “Recovery of Parametric Models from Range Images: The Case for Superquadrics with Global Deformations,” IEEE Trans. Pattern Anal. Mach. Intell., 12, pp. 133–147.
Barr,  A., 1981, “Superquadrics and Angle Preserving Transformations,” IEEE Comput. Graphics Appl., 1, pp. 11–23.
Paul, R., 1981, Robot Manipulators, MIT Press, Massachusetts.
Marquardt,  D. W., 1963, “An Algorithm for Least-Squares Estimation of Nonlinear Parameters,” SIAM (Soc. Ind. Appl. Math.) J. Appl. Math., 11, 431–441.
Murthy,  T. S. R., and Abdin,  S. Z., 1980, “Minimum Zone Evaluation of Surfaces,” Int. J. Machine Tool Des. Res., 20, pp. 123–136.
Dowling,  M. M., Griffin,  P. M., Tsui,  K. L., and Zhou,  C., 1997, “Statistical Issues in Geometric Feature Inspection using Coordinate Measuring Machines,” Technometrics, 39, pp. 3–17.
Bárcenas, C., Griffin, P. M., and Heikes, R., 1999, “Statistical Comparison of Sampling and Fitting Procedures for Geometric Tolerance Verification,” Tech. Report 829, School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia.
Wilson, R. H., 1993, From Errors of Cylindrical Features for Specific Manufacturing Processes, Ph.D. thesis, School of Mechanical Engineering, North Carolina State University at Charlotte.
Bárcenas, C., and Griffin, P. M., “Geometric Tolerance Verification Using Superquadrics,” Tech. Report 830, School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA.
Phillips,  S. D., Eberhardt,  K. R., and Parry,  B., 1997, “Guidelines for Expressing the Uncertainty of Measurement Results Containing Uncorrected Bias,” J. Res. Natl. Inst. Stand. Technol., 102, pp. 577–585.
Phillips,  S. D., Borchardt,  B., Estler,  W. T., and Buttress,  J., 1998, “Estimation of Measurement Uncertainty of Small Circular Features Measured by Coordinate Measuring Machines,” Precis. Eng., 22, pp. 87–97.
Srinivasan, V., and O’Conner, M. A., 1995, “Towards an ISO Standard for Statistical Tolerancing,” Proceedings of the 4th CIRP Seminar of Computer Aided Tolerancing, Tokyo, Japan, pp. 181–194.

Figures

Grahic Jump Location
Superquadrics with different values of ε1 and ε2.
Grahic Jump Location
Lobes and corresponding frequencies.
Grahic Jump Location
Unfolded cylinder where each cylinder has a radius equal to their corresponding residual di.
Grahic Jump Location
Variable specification for different deformations.

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