Modeling of tolerances and clearances in mechanisms using interval analysis

Weidong Wu, Singiresu S Rao

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

1 Citation (Scopus)

Abstract

It is important to conduct error analysis of assemblies in order to ensure that the manufactured parts satisfy the design specifications. Traditionally, mechanical tolerances and clearances are modeled as random variables and the analysis is conducted using probabilistic methods. In this work, a new approach, based on interval analysis, is presented for the modeling and analysis of tolerances and clearances. The basic procedure of interval analysis involving solution of simultaneous nonlinear equations is described. The application of the approach in the fuzzy error analysis of planar mechanisms is outlined. The treatment of the tolerances and clearances of the mechanism as interval numbers leads to a better and a more realistic estimation of the analysis results. Numerical results are presented to illustrate the computational procedure. The results of the interval analysis, although philosophically different, are compared with those given by the probabilistic method for comparable input data; the differences found in the two sets of results are explained in terms of the basic characteristics of the two methods. This work denotes the first application of interval methods for the modeling of tolerances and clearances and the fuzzy error analysis of mechanisms.

Original languageEnglish
Title of host publicationProceedings of the ASME Design Engineering Technical Conference
Pages469-487
Number of pages19
Volume2 A
StatePublished - Dec 1 2004
Event2004 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Salt Lake City, UT, United States
Duration: Sep 28 2004Oct 2 2004

Other

Other2004 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference
CountryUnited States
CitySalt Lake City, UT
Period9/28/0410/2/04

Fingerprint

Error analysis
Random variables
Nonlinear equations
Specifications

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Wu, W., & Rao, S. S. (2004). Modeling of tolerances and clearances in mechanisms using interval analysis. In Proceedings of the ASME Design Engineering Technical Conference (Vol. 2 A, pp. 469-487). [57177]

Modeling of tolerances and clearances in mechanisms using interval analysis. / Wu, Weidong; Rao, Singiresu S.

Proceedings of the ASME Design Engineering Technical Conference. Vol. 2 A 2004. p. 469-487 57177.

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

Wu, W & Rao, SS 2004, Modeling of tolerances and clearances in mechanisms using interval analysis. in Proceedings of the ASME Design Engineering Technical Conference. vol. 2 A, 57177, pp. 469-487, 2004 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Salt Lake City, UT, United States, 9/28/04.
Wu W, Rao SS. Modeling of tolerances and clearances in mechanisms using interval analysis. In Proceedings of the ASME Design Engineering Technical Conference. Vol. 2 A. 2004. p. 469-487. 57177
Wu, Weidong ; Rao, Singiresu S. / Modeling of tolerances and clearances in mechanisms using interval analysis. Proceedings of the ASME Design Engineering Technical Conference. Vol. 2 A 2004. pp. 469-487
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