Using tolerance-maps to generate frequency distributions of clearance for pin-hole assemblies

Gaurav Ameta, Joseph K. Davidson, Jami J. Shah

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

A new mathematical model for representing the geometric variations of lines is extended to include probabilistic representations of 1-D clearance which arise from multi-dimensional variations of an axis, a hole and a pin-hole assembly. The model is compatible with the ASME/ANSI/ISO Standards for geometric tolerances. Central to the new model is a Tolerance-Map1 (T-Map), a hypothetical volume of points that models the 3-D variations in location and orientation for a segment of a line (the axis), which can arise from tolerances on size, position, orientation, and form. Here it is extended to model the increase in yield that occurs when maximum material condition (MMC) is specified. The frequency distribution of 1-D clearance is decomposed into manufacturing bias, i.e. toward certain regions of a Tolerance-Map, and into a geometric bias that can be computed from the geometry of multidimensional T-Maps. Although the probabilistic representation in this paper is focused on geometric bias and manufacturing bias is presumed to be uniform, the method is robust enough to include manufacturing bias in the future. Geometric bias alone shows a greater likelihood of small clearances than large clearances between an assembled pin and hole.

Original languageEnglish (US)
Title of host publicationProceedings of 2006 ASME International Design Engineering Technical Conferences and Computers and Information In Engineering Conference, DETC2006
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Print)079183784X, 9780791837849
DOIs
StatePublished - 2006
Event2006 ASME International Design Engineering Technical Conferences and Computers and Information In Engineering Conference, DETC2006 - Philadelphia, PA, United States
Duration: Sep 10 2006Sep 13 2006

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume2006

Other

Other2006 ASME International Design Engineering Technical Conferences and Computers and Information In Engineering Conference, DETC2006
CountryUnited States
CityPhiladelphia, PA
Period9/10/069/13/06

ASJC Scopus subject areas

  • Modeling and Simulation
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

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    Ameta, G., Davidson, J. K., & Shah, J. J. (2006). Using tolerance-maps to generate frequency distributions of clearance for pin-hole assemblies. In Proceedings of 2006 ASME International Design Engineering Technical Conferences and Computers and Information In Engineering Conference, DETC2006 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 2006). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/detc2006-99585