Description
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.
Details
Title
- Least-squares fit for points measured along line-profiles formed from line and arc segments
Contributors
- Savaliya, Samir (Author)
- Davidson, Joseph K. (Thesis advisor)
- Shah, Jami J. (Committee member)
- Santos, Veronica J (Committee member)
- Arizona State University (Publisher)
Date Created
The date the item was original created (prior to any relationship with the ASU Digital Repositories.)
2013
Subjects
Resource Type
Collections this item is in
Note
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thesisPartial requirement for: M.S., Arizona State University, 2013
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bibliographyIncludes bibliographical references (p. 118-120)
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Field of study: Mechanical engineering
Citation and reuse
Statement of Responsibility
by Samir Savaliya