A Survey of Mathematical Methods for the Construction of Geometric Tolerance Zones

[+] Author and Article Information
T. M. Kethara Pasupathy, Edward P. Morse

Robert G. Wilhelm

Center for Precision Metrology, Department of Mechanical Engineering and Engineering Science, The University of North Carolina at Charlotte, 9201 University City Blvd., Charlotte, NC 28223-0001

J. Comput. Inf. Sci. Eng 3(1), 64-75 (May 15, 2003) (12 pages) doi:10.1115/1.1572519 History: Received October 01, 2002; Revised March 01, 2003; Online May 15, 2003
Copyright © 2003 by ASME
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Grahic Jump Location
(a) A part with geometric tolerance callouts (b) An instance of the actual part that is acceptable as per specification provided in (a)
Grahic Jump Location
(a) Variability of point P1 as compared to P2, (b) Singular zones as a line for point P3, (c) An assembly showing the nominal and MMC parts and (d) Hatched areas show interference in assembly of parts of (c) due to singular zones
Grahic Jump Location
(a) Minkowski sum for single offset to determine MMC and LMC boundaries, (b) Extraction of simple features from half-spaces, (c) MMC and LMC boundaries from offsets on simple features of (b)
Grahic Jump Location
(a) Variability of feature A, (b) In-tolerance region of parametric space model Feature A
Grahic Jump Location
(a) Virtual half-spaces for a pin, (b) Half-spaces for a washer, and (c) Orientation tolerance zones considering assembly requirement for a hole
Grahic Jump Location
(a) Feature with simultaneous tolerances (b) An extreme instance of the resultant zones specified for feature F in (a) and (c) Errors in worst cases in parametric space models
Grahic Jump Location
Specification of tolerance boundaries with parametric curves
Grahic Jump Location
Tolerance information utilization and transfer in a manufacturing enterprise



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