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Least-Squares Fit For Points Measured Along Line-Profiles Formed From Line And Arc Segments

abstract: Tolerances on line profiles are used to control cross-sectional shapes of parts, such as turbine blades. A full life cycle for many mechanical devices depends (i) on a wise assignment of tolerances during design and (ii) on careful quality control of the manufacturing process to ensure adherence to the specified tolerances. This thesis describes a new method for quality control of a manufacturing process by improving the method used to convert measured points on a part to a geometric entity that can be compared directly with tolerance specifications. The focus of this paper is the development of a new computational method for obtaining the least-squares fit of a set of points that have been measured with a coordinate measurement machine along a line-profile. The pseudo-inverse of a rectangular matrix is used to convert the measured points to the least-squares fit of the profile. Numerical examples are included for convex and concave line-profiles, that are formed from line- and circular arc-segments. / Dissertation/Thesis / M.S. Mechanical Engineering 2013

Identiferoai:union.ndltd.org:asu.edu/item:16444
Date January 2013
ContributorsSavaliya, Samir B. (Author), Davidson, Joseph K (Advisor), Shah, Jami J (Committee member), Santos, Veronica J (Committee member), Arizona State University (Publisher)
Source SetsArizona State University
LanguageEnglish
Detected LanguageEnglish
TypeMasters Thesis
Format139 pages
Rightshttp://rightsstatements.org/vocab/InC/1.0/, All Rights Reserved

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