Geometric tolerances: A new application for line geometry and screws

  • J K Davidson
    Arizona State University Department of Mechanical and Aerospace Engineering Tempe, Arizona, USA
  • J J Shah
    Arizona State University Department of Mechanical and Aerospace Engineering Tempe, Arizona, USA

書誌事項

公開日
2002-01-01
権利情報
  • https://journals.sagepub.com/page/policies/text-and-data-mining-license
DOI
  • 10.1243/0954406021524837
公開者
SAGE Publications

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説明

<jats:p>A new mathematical model is introduced for the tolerances of cylindrical surfaces. The model is compatible with the ISO/ANSI/ASME standard for geometric tolerances. Central to the new model is a Tolerance-Map®†, a hypothetical volume of points that corresponds to all possible locations and variations of a segment of a line (the axis) that can arise from tolerances on size, location and orientation of the cylindrical surface. Each axis in a tolerance zone will be represented with the six Plücker coordinates. Cylindrical surfaces in a tolerance zone for the same hole can then be treated by attaching a size tolerance to each of the lines, thereby forming a screw. Relationships for the content of line solids for a tolerance zone are developed to correspond to the variations of locations. These are then used to obtain a measure for the increment in cost when a more refined tolerance is specified. This model is one part of a bilevel model that is under development for geometric tolerances.</jats:p>

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