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Unformatted text preview: utlined in [Davidson and Shah, 2002], our model reduces to that of [Giordano, et al., 2001] when no material condition is specified. The purposes for this paper are to review briefly our model for an axis and to describe the aspects of geometric tolerances for the straightness and orientation of the axis within its tolerance-zone on position. We will also demonstrate the modeling of the relationships between tolerances of position, orientation and straightness applied to an axis. 2. THE TOLERANCE-MAP (T-MAP) FOR POSITION OF AN AXIS The entire range of variational possibilities for an axis will be represented by a ToleranceMap® (T-Map®), a hypothetical Euclidean point-space; its size and shape will reflect the variations for a target feature. It is the range of points resulting from a one-to-one mapping (eqn 2) from all the variational possibilities of a feature within its tolerance-zone. These variations are determined by the tolerances that are specified for size, position, form, and orientation. Tolerance-Maps for Straightness and Orientation 47 The tolerances shown in Fig. 1(a) es...
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