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
| Identifer | oai:union.ndltd.org:asu.edu/item:16444 |
| Date | January 2013 |
| Contributors | Savaliya, Samir B. (Author), Davidson, Joseph K (Advisor), Shah, Jami J (Committee member), Santos, Veronica J (Committee member), Arizona State University (Publisher) |
| Source Sets | Arizona State University |
| Language | English |
| Detected Language | English |
| Type | Masters Thesis |
| Format | 139 pages |
| Rights | http://rightsstatements.org/vocab/InC/1.0/, All Rights Reserved |
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