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    Interval Approach for the Modeling of Tolerances and Clearances in Mechanism Analysis

    Source: Journal of Mechanical Design:;2004:;volume( 126 ):;issue: 004::page 581
    Author:
    Weidong Wu
    ,
    Graduate Teaching Assistant
    ,
    S. S. Rao
    ,
    Professor and Chairman
    DOI: 10.1115/1.1760775
    Publisher: The American Society of Mechanical Engineers (ASME)
    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 and spatial mechanisms is also 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 examples are presented to illustrate the computational procedures. 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.
    keyword(s): Modeling , Equations , Error analysis , Mechanisms , Design AND Functions ,
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      Interval Approach for the Modeling of Tolerances and Clearances in Mechanism Analysis

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    http://yetl.yabesh.ir/yetl1/handle/yetl/130488
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    • Journal of Mechanical Design

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    contributor authorWeidong Wu
    contributor authorGraduate Teaching Assistant
    contributor authorS. S. Rao
    contributor authorProfessor and Chairman
    date accessioned2017-05-09T00:13:51Z
    date available2017-05-09T00:13:51Z
    date copyrightJuly, 2004
    date issued2004
    identifier issn1050-0472
    identifier otherJMDEDB-27789#581_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/130488
    description abstractIt 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 and spatial mechanisms is also 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 examples are presented to illustrate the computational procedures. 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.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleInterval Approach for the Modeling of Tolerances and Clearances in Mechanism Analysis
    typeJournal Paper
    journal volume126
    journal issue4
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.1760775
    journal fristpage581
    journal lastpage592
    identifier eissn1528-9001
    keywordsModeling
    keywordsEquations
    keywordsError analysis
    keywordsMechanisms
    keywordsDesign AND Functions
    treeJournal of Mechanical Design:;2004:;volume( 126 ):;issue: 004
    contenttypeFulltext
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