Fuzzy-small degrees of freedom representation of linear and angular variations in mechanical assemblies for tolerance analysis and allocation

Khodaygan, S ; Sharif University of Technology | 2011

888 Viewed
  1. Type of Document: Article
  2. DOI: 10.1016/j.mechmachtheory.2010.11.004
  3. Publisher: 2011
  4. Abstract:
  5. Tolerances naturally generate an uncertain environment for design and manufacturing. In this paper, a novel fuzzy based tolerance representation approach for modeling the variations of geometric features due to dimensional tolerances is presented. The two concepts of fuzzy theory and small degrees of freedom are combined to introduce the fuzzy-small degrees of freedom model (F-SDOF). This model is suitable for tolerance analysis of mechanical assemblies with linear and angular tolerances. Based on the fuzzy concept, a new index (called the assemblability index) is introduced which signifies the fitting quality of parts in the assembly. Graphical and numerical representations of tolerance allocation by this method are presented. The goal of tolerance allocation is to adjust the tolerances assigned at the design stage so as to meet a functional requirement at the assembly stage. The presented method is compatible with the current dimensioning and tolerancing standards. The application of the proposed methodology is illustrated through presenting an example problem
  6. Keywords:
  7. Small degrees of freedom (SDOF) ; Angular variation ; Assemblability ; Degrees of freedom ; Design stage ; Dimensional tolerance ; Dimensioning and tolerancing ; Functional requirement ; Fuzzy concept ; Fuzzy theory ; Geometric feature ; Mechanical assembly ; New indices ; Numerical representation ; Tolerance allocation ; Tolerance analysis ; Uncertain environments ; Fuzzy logic ; Fuzzy systems ; Mechanics ; Numerical methods ; Fits and tolerances
  8. Source: Mechanism and Machine Theory ; Volume 46, Issue 4 , April , 2011 , Pages 558-573 ; 0094114X (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0094114X10002016