Fuzzy-small degrees of freedom representation of linear and angular variations in mechanical assemblies for tolerance analysis and allocation |
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Authors: | S KhodayganMR Movahhedy M Saadat Foumani |
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Affiliation: | Center for Design, Robotics and Automation (CEDRA), School of Mechanical Engineering, Sharif University of Technology, Azadi Ave., Tehran, Iran |
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Abstract: | 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. |
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Keywords: | Tolerance analysis Tolerance allocation Fuzzy logic Small degrees of freedom (SDOF) Mechanical assembly |
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