6963824 45 jk davidson ed models for computer aided

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Unformatted text preview: 13; The University of Charlotte, North Carolina, USA; April 28-29, 2003. Tolerance-Maps Applied to the Straightness and Orientation of an Axis S. Bhide*, G. Ameta**, J. K. Davidson**, J. J. Shah** *ExperTeam Services,UGS The PLM Company, Onsite at HP-Vancouver,WA, USA ** Mechanical and Aerospace Engineering Department, Arizona State University, Tempe, AZ -85287, USA ameta@asu.edu, j.davidson@asu.edu Abstract. Among the least developed capabilities in well-developed mathematical models for geometric tolerances are the representation of tolerances on form, orientation, and of Rule #1 in the Standards, i.e. the coupling between form and allowable variations for either size or position of a feature. This paper uses Tolerance-Maps®1(T-Maps®1) to describe these aspects of geometric tolerances for the straightness and orientation of an axis within its tolerance-zone on position. A Tolerance-Map is a hypothetical point-space, the size and shape of which reflect all variational possibilities for a target feature; for an axis, it is constructed in four-dimensional space. The Tolerance-Map for straightness is modeled with a geometrically similar, but smaller-sized, four-dimensional shape to the 4D shape for position; it is a subset w...
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