Torus form inspection using coordinate sampling

Journal of Manufacturing Science and Engineering

Volumn 127, Issue 1, 2005, Pages 84-95

  Aguirre Cruz, Juan Antonio ^a   Raman, Shivakumar ^a  

^a UNIVERSITY OF OKLAHOMA   (United States)

Author keywords

Experimental Design; Inspection; Sampling; Tolerance Verification; Torus Form

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SOFTWARE; FITS AND TOLERANCES; GEOMETRY; INSPECTION; OPTIMIZATION; SAMPLING;

COORDINATE SAMPLING; EXPERIMENTAL DESIGN; TOLERANCE VERIFICATION; TORUS FORM;

COORDINATE MEASURING MACHINES;

EID: 17444373068     PISSN: 10871357     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1842134     Document Type: Article

References (26)

1. Imanishi, T., and Machida, H., 2001, "Development of the half toroidal CVT POWERTOROS unit 2," Motion & Control, 10, pp. 1-8.
2. Hocken, R. J., Raja, J., and Babu, U., 1993, "Sampling issues in coordinate metrology," Manuf. Rev., 6(4), pp. 282-304.
3. Woo, T. C., Liang, R., Hsieh, C. C., and Lee, N. K., 1995, "Efficient sampling for surface measurements," J. Manuf. Syst., 14(5), pp. 345-354.
4. Lee, G., Mou, J., and Shen, Y., 1996, "Sampling strategy design for dimensional measurement of geometric features using coordinate measuring machine," Int. J. Mach. Tools Manuf., 37(7), pp. 917-934.
5. Kim, W. S., and Raman, S., 2000, "On the Selection of Flatness Measurement Points in CMM Inspection," Int. J. Mach. Tools Manuf., 40, pp. 427-443.
6. Badar, A., Raman, S., and Pulat, S., 2003, "Intelligent Search-based Selection of Sample Points Straightness and Flatness Estimation," Trans. ASME, J. Manuf. Sci. Eng., 125(2), pp. 263-271.
7. Kurfess, T. R., and Banks, D. L., 1995, "Statistical Verification of Conformance to Geometric Tolerance," Comput. Aided Geom. Des., 27(5), pp. 353-361.
8. Orady, E., Li, S., and Chen, Y., 2000, "Evaluation of minimum zone straightness by a nonlinear optimization method," J. Manuf. Sci. Eng., 122, pp. 795-797.
9. Choi, W., and Kurfess, T. R., 1999, "Dimensional Measurement Data Analysis, Part 1: A zone fitting algorithm," J. Manuf. Sci. Eng., 121(2), pp. 283-245.
10. Carr, K., and Ferreira, P., 1995, "Verification of form tolerances. Part II: Cylindricity and straightness of a median line," Precis. Eng., 17, pp. 144-156.
11. Namboothiri, V. N. N., and Shunmugam, M. S., 1999, "On determination of sample size in form error evaluation using coordinate metrology," Int. J. Prod. Res., 37(4), pp. 793-804.
12. Samuel, G. L., and Shunmugam, M. S., 2001, "Evaluation of sphericity error from coordinate measurement data using computational geometric features," Comput. Methods Appl. Mech. Eng., 190, pp. 6765-6781.
13. Malyscheff, A. M., Trafalis, T. B., and Raman, S., 2002, "From Support Vector Machine Learning to the Determination of the Minimum Enclosing Zone," Comput. Indu. Eng., 42(1), pp. 59-74.
14. Prakasvudhisarn, C., Trafalis, T. B., and Raman, S., 2003, "Support Vector Regression for Determination of Minimum Zone," Trans. ASME, J. Manuf. Sci. Eng. 125(4), pp. 736-739.
15. Chetwynd, D. G., 1979, "Roundness measurement using limacons," Precis. Eng., 1(3), pp. 137-141.
16. Chetwynd, D. G., 1985, "Applications of linear programming to engineering metrology," Proceedings of the Institute of Mechanical Engineers, 199(B2), pp. 93-100.
17. Kanada, T., and Suzuki, S., 1993, "Evaluation of minimum zone flatness by means of nonlinear optimization techniques and its verification," Precis. Eng., 15(2), pp. 93-99.
18. Elmaraghy, H. A., 1998, Geometric design tolerancing: theories, standards and applications (Chapman & Hall, London, UK).
19. Dowling, M. M., Griffin, P. M., Tsui, K. L., and Zhou, C., 1995, "A comparison of the orthogonal least squares and minimum enclosing zone methods for form error estimation," Manuf. Rev., 8(2), pp. 120-138.
20. Prakasvudhisarn, C., and Raman, S., 2004, "Framework for Cone Feature Measurement Using Coordinate Measuring Machines," in Trans. ASME, J. Manuf. Sci. Eng. 126(1), pp. 167-177.
21. Cohn-Vossen, S., and Hilbert, D., 1952, Geometry and the Imagination (Chelsea Publishing Company, New York).
22. Schwartz, A., 1967, Calculus and analytic geometry (Holt, Rinehart and Winston, New York).
23. Bourke, P., 1990, The torus and Supertoroid, Published on the Internet, http://astronomy.swin.edu.au/~pbourke/modelling/torus/
24. Weisstein, E. W., 1999, CRC Concise encyclopedia of mathematics (Chapman & Hall, Boca Raton).
25. ASME Y14.5M-1994, 1995, Dimensional and Tolerancing (The American Society of Mechanical Engineers, New York).
26. Montgomery, D. C., 1997, Design and analysis of experiments (Wiley & Sons, New York, NY).