{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,5,3]],"date-time":"2024-05-03T12:32:45Z","timestamp":1714739565830},"reference-count":30,"publisher":"ASME International","issue":"1","content-domain":{"domain":["asmedigitalcollection.asme.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2003,3,1]]},"abstract":"<jats:p>The most fundamental, and perhaps most important, task in the tolerance analysis of assemblies is to test whether or not the components with tolerances are actually able to fit together (called assembleability). Another important task of tolerance analysis is to check how the tolerances affect the quality or functionality of a product when they are assembled together. This paper presents the way the tolerance analyses are implemented by an assembly model, called the GapSpace model. The model can not only capture the necessary and sufficient conditions for assembleability analysis, but also transfers the functionality into the modeling variables (gaps). The assembleability analyses based on the GapSpace model for nominal components and those with worst case or statistical tolerances are introduced through an example. The problems of testing the quality of assemblies and calculating sensitivities are solved quickly and precisely using the model. The GapSpace model is more suitable for certain GD&amp;T tolerancing methods than for parametric plus\/minus tolerancing.<\/jats:p>","DOI":"10.1115\/1.1565072","type":"journal-article","created":{"date-parts":[[2003,5,15]],"date-time":"2003-05-15T23:33:52Z","timestamp":1053041632000},"page":"22-30","update-policy":"http:\/\/dx.doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":12,"title":["Applications of the GapSpace Model for Multidimensional Mechanical Assemblies"],"prefix":"10.1115","volume":"3","author":[{"given":"Zhihua","family":"Zou","sequence":"first","affiliation":[{"name":"The Center for Precision Metrology Department of Mechanical Engineering & Engineering Science, The University of North Carolina at Charlotte, NC\u200928223, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Edward P.","family":"Morse","sequence":"additional","affiliation":[{"name":"The Center for Precision Metrology Department of Mechanical Engineering & Engineering Science, The University of North Carolina at Charlotte, NC\u200928223, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"33","published-online":{"date-parts":[[2003,5,15]]},"reference":[{"key":"2019100610310040000_r1","unstructured":"ANSI, Y14.5M-1994, Dimensioning and Tolerancing, ASME, New York."},{"key":"2019100610310040000_r2","doi-asserted-by":"crossref","unstructured":"Lee, W. 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U., 1987, \u201cTolerances in Computer-Aided Geometric Design,\u201d Ph.D. thesis, Rensselaer Polytechnic Institute, Troy, New York.","DOI":"10.1007\/BF01952828"},{"key":"2019100610310040000_r12","unstructured":"Clement, A., Valade, C., and Riviere, A., 1996, \u201cThe TTRSs: 13 Oriented Constraints for Dimensioning, Tolerancing and Inspection,\u201d Advanced Mathematical Tools in Metrology III, Berlin, pp. 24\u201341"},{"key":"2019100610310040000_r13","unstructured":"Ballot, E., and Bourdet, P., \u201cGeometrical Behavior Laws for Computer Aided Tolerancing,\u201d Proceedings of the 4th CIRP Seminar on Computer Aided Tolerancing, Tokyo, Japan, pp. 143\u2013154, 1995."},{"key":"2019100610310040000_r14","unstructured":"Ballot, E., and Bourdet, P., \u201cA computational Method for the Consequences of Geometric Errors in Mechanisms,\u201d Proceedings of the 5th CIRP Seminar on Computer Aided Tolerancing, Toronto, Canada, pp. 137\u2013148, 1997."},{"key":"2019100610310040000_r15","unstructured":"Mullins, S. 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