文档介绍：Mechanism and Machine Theory 44 (2009) 1097–1107
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Mechanism and Machine Theory
journal homepage: ate/mechmt
Statistical tolerance synthesis with correlated variables
Isabel González a,*,1, Ismael Sánchez b
a Department of Mechanical Engineering, Universidad Carlos III de Madrid. Avd. de la Universidad 30, 28911, Leganés, Madrid, Spain
b Department of Statistics, Universidad Carlos III de Madrid. Avd. de la Universidad 30, 28911, Leganés, Madrid Spain
article info abstract
Article history: Optimal tolerance design aims at assigning tolerances such that the functionality require-
Received 16 August 2008 ments are achieved with minimum cost. Classical tolerance design procedures are based on
Received in revised form 8 October 2008 the assumption of independence of variables. This assumption might not be realistic, lead-
Accepted 18 October 2008
ing to the assign of non-optimal tolerances. This paper proposes an innovative methodol-
Available online 6 December 2008
ogy to allocate optimal statistical tolerances to dependent variables, where the dependence
structure is estimated from the manufacturing process. The methodology is based on the
assumption that the multivariate process variability is consequence of a set of independent
Keywords:
factors. Hence, the tolerance assignment should be based on the statistical properties of
Tolerance synthesis
Tolerance allocation these factors. The tolerance design takes the independence of the factors as a restriction,
Correlated variables and tolerances are optimally assigned according to the variability of them.
Ó 2008 Elsevier Ltd. All rights reserved.
1. Introduction
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The quality and functionality of parts are usually related with one or more variables Y ¼ðY 1; Y 2; ...; Y JÞ , such as length,
width, weight, voltage, and so on. The functionality of the part imposes some specification limits on Y. These variables can, in
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turn, be a function of