Aspects of statistical multiple tolerancing

dc.contributor.advisor Herbert T. David
dc.contributor.author Yu, Yunn-Hwu
dc.contributor.department Statistics (LAS)
dc.date 2018-08-23T17:42:26.000
dc.date.accessioned 2020-06-30T07:04:13Z
dc.date.available 2020-06-30T07:04:13Z
dc.date.copyright Wed Jan 01 00:00:00 UTC 1992
dc.date.issued 1992
dc.description.abstract <p>This dissertation studies multiple tolerancing problems for multi-featured parts. The minmax point-to-point interference problem studies the ways in which manufacturing tolerances affect the likelihood of meeting composite tolerances, and acceptable fits for mating parts; the least squares point-to-point interference problem studies the ways in which manufacturing tolerances affect Taquchi-type squared-error penalties for failing to meet exact design specifications. A certain extension of extreme value theory is used for the minmax formulation; the least squares formulation involves certain asymptotic aspects of non-linear least squares;Only translation (not rotation) adjustment is used in the minmax problem. The minmax interference is approached by upper- and lower-bounding processes. The extreme value of a Rayleigh distribution is involved in the upper-bounding process, and the diameter of a random convex hull is involved in the lower-bounding process;Rotation is considered in addition in the least squares problem, and the distribution of the optimal adjustment (x*,y*,[theta]*) is provided. The roles of pattern size and location also are explored.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/rtd/10363/
dc.identifier.articleid 11362
dc.identifier.contextkey 6399871
dc.identifier.doi https://doi.org/10.31274/rtd-180813-12628
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/10363
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/63501
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/rtd/10363/r_9234866.pdf|||Fri Jan 14 18:19:25 UTC 2022
dc.subject.disciplines Statistics and Probability
dc.subject.keywords Statistics
dc.title Aspects of statistical multiple tolerancing
dc.type dissertation
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 264904d9-9e66-4169-8e11-034e537ddbca
thesis.degree.level dissertation
thesis.degree.name Doctor of Philosophy
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