Research Papers

Comparison of Spatial Math Models for Tolerance Analysis: Tolerance-Maps, Deviation Domain, and TTRS

[+] Author and Article Information
G. Ameta

 School of Mechanical and Materials Engineering Washington State University, Pullman, WA 99164-2920 e-mail: gameta@wsu.edu

S. Serge, M. Giordano

 Universite de Savoie, BP 806, Annecy, Cedex, 74016, France

J. Comput. Inf. Sci. Eng 11(2), 021004 (Jun 15, 2011) (8 pages) doi:10.1115/1.3593413 History: Received November 08, 2010; Revised April 09, 2011; Published June 15, 2011; Online June 15, 2011

This paper presents a comparison of degree of freedom (DOF) based math models, viz., tolerance-maps, deviation domain, and TTRS, which have shown most potential for retrofitting the nuances of the ASME/ISO tolerance standards. Tolerances specify allowable uncertainty in dimensions and geometry of manufactured products. Due to these characteristics and application of tolerances, it is necessary to create a math model of tolerances in order to build a computer application to assist a designer in performing full 3D tolerance analysis. Many of the current efforts in modeling tolerances are lacking, as they either do not completely model all the aspects of the ASME/ISO tolerance standards or are lacking the requisite full 3-D tolerance analysis. Some tolerance math models were developed to suit CAD applications used by the designers while others were developed to retrofit the ASME/ISO tolerance standard. Three math models developed to retrofit the ASME/ISO standard, tolerance-maps, deviation domain, and TTRS are the main focus of this paper. Basic concepts of these math models are summarized in this paper, followed by their advantages and future issues. Although these three math models represent all aspects of the ASME/ISO tolerance standard, they are still lacking in one or two minor aspects.

Copyright © 2011 by American Society of Mechanical Engineers
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Figure 1

Different classes of tolerances in the standards [1]

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Figure 2

A simple 1-dimensional example showing tolerance analysis with only dimensional tolerances

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Figure 3

The basis tetrahedron with its basis points

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Figure 4

(a) Rectangular part with size tolerance and (b) rectangular part with profile tolerance on rectangular surface. (c) The tolerance zone on size (specification of (a)) or profile (specification of (b)) for a rectangular bar and a coordinate frame centered within it.

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Figure 5

The T-Map for the tolerance zone shown in Fig. 4

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Figure 6

The tradeoff between the array of sub-sets for form and their companion locations within the T-Map of Fig. 5

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Figure 7

Deviation domain for the planar surface in Fig. 4



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