A scheme for transformation of tolerance specifications to generalized deviation space for use in tolerance synthesis and analysis

H. Wang, N. Pramanik, U. Roy, R. Sudarsan, R. D. Sriram, K. W. Lyons'

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

7 Scopus citations

Abstract

Traditionally tolerances for manufactured parts are specified using symbolic schemes as per ASME or ISO standards. To use these tolerance specifications in computerized tolerance synthesis and analysis, we need information models to represent the tolerances. Tolerance specifications could be modeled as a class with its attributes and methods [ROY01]. Tolerances impose restrictions on the possible deviation of features from its nominal size/shape. These variations of shape/size of a feature could be modeled as deviation of a set of generalized coordinates defined at some convenient point on the feature [BAL98]. In this paper, we present a method for converting tolerance specifications as per MMC (Maximum Material Condition) / LMC (Least Material Condition) / RFS (Regardless of Feature Size) material conditions for standard mating features (planar, cylindrical, and spherical) into a set of inequalities in a deviation space for representation of deviation of a feature from it's nominal shape. We have used the virtual condition boundaries1 (VCB) as well as tolerance zones (as the case may be) for these mappings. For the planar feature, these relations are linear and the bounded space is diamond shaped. For the other cases, the mapping is a set of nonlinear inequalities. The mapping transforms the tolerance specifications into a generalized coordinate frame as a set of inequalities. These are useful in tolerance synthesis, and analysis as well as in assemblability analysis in the generalized coordinate system (deviation space). In this paper, we also illustrate the mapping procedures with an example.

Original languageEnglish (US)
Title of host publicationASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002
Pages1037-1045
Number of pages9
StatePublished - Dec 1 2002
EventASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002 - Montreal, QC, Canada
Duration: Sep 29 2002Oct 2 2002

Publication series

NameASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002
Volume2

Conference

ConferenceASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002
CountryCanada
CityMontreal, QC
Period9/29/0210/2/02

Keywords

  • Deviation space
  • Mapping
  • Tolerance analysis
  • Tolerance synthesis

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Information Systems
  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

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