Brian Warren

Date of Award

Winter 11-2003

Document Type

Master's Research Paper

Degree Name

Master of Engineering (MEngr)


Systems Engineering

First Advisor

Dr. Ghanashyam Joshi

Second Advisor

Dr. Amitiva Jana

Third Advisor

Dr. Parviz Razi


This thesis is concerned with Coordinate Metrology for Machine Tools. The contributions of the thesis are of two criteria. First, by making use of techniques from available software to determine geometry characteristic performance of a Mazak Quick Turn 20 Slant-Bed Lathe, and we determine theory for categorizing typical lathe evaluation; second, we extend this powerful geometric process to verification formulation of the error estimates by utilizing coordinate metrology notations contained in Brown & Sharpe's "Coordinate Metrology" standards and develop evaluation techniques for verifying machine tool path error estimation based on important observations that machined part features have a deviation from the nominal that may well be explained through the utilization of coordinate metrology. Thus, the configuration space of a part feature can be identified by exploring the geometric structure of the CMM least square techniques for fitting a given set of data points; we developed simple and efficient method for computing machine geometry error estimates and machine thermal error estimates. Second, we examine part feature error notations by coordinate metrology using the CMM and extending the geometric algorithm developed for hemi-spherical surfaces, we give precise formulations for all cases of point locations, form, and orientation as appropriate. We present a simple and unified approach for verification of form, profile and orientation of the machined parts. Finally, we address the problem of establishing a confidence interval regarding the level of machining form error estimation and error sources identification, CMM operator error sources and establishing the correct correlation techniques used to evaluate machine tool path performance guidelines. We give conditions under which the part feature qualifies to be compared to the machine geometry test data for the CMM coordinate system. We present a procedure that transforms the part metrology datum system part feature form error problems, polar, cartesian, and relative into a constrained geometric motion tool path problem. We develop simple techniques to compare these problems and thus the problem of establishing an error characterization method for the machine tool path in the machine coordinate system.

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