Least-squares fit for points measured along line-profiles formed from line and arc segments
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.
Date Created
The date the item was original created (prior to any relationship with the ASU Digital Repositories.)
2013
Agent
- Author (aut): Savaliya, Samir
- Thesis advisor (ths): Davidson, Joseph K.
- Committee member: Shah, Jami J.
- Committee member: Santos, Veronica J
- Publisher (pbl): Arizona State University