Evaluation of Minimum Zone Straightness by a Nonlinear Optimization Method

Author:

Orady Elsayed1,Li Songnian1,Chen Yubao1

Affiliation:

1. Industrial & Manufacturing Systems Engineering Department, The University of Michigan-Dearborn, 4901 Evergreen Road, Dearborn, MI 48128

Abstract

In this paper, a new algorithm, based on a nonlinear optimization method (NOM), has been developed. The accuracy as well as the reliability/robustness of the new algorithm have been verified by applying it to more than 200 CMM measured data sets on differently manufactured parts. The results have been compared with that of Least Squares Method (LSM) and Convex Hull (CVH) method applied to the same data sets. A data filter is proposed to be enclosed in the new algorithm to detect and delete outliers in the data sets. [S1087-1357(00)01102-3]

Publisher

ASME International

Subject

Industrial and Manufacturing Engineering,Computer Science Applications,Mechanical Engineering,Control and Systems Engineering

Reference14 articles.

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2. Fukuda, M., and Shimokohbe, A., 1984, “Algorithms for Form Evaluation, Methods of Minimum Zone and Least Squares,” Proceedings of the International Symposium on Metrology for Quality Control in Production, Tokyo, 197–202.

3. Lai, K. W., and Wang, J., 1988, “A Computational Geometry Approach to Geometric Tolerancing,” The 16th NAMRI, 376–379.

4. Mark, T. T., Sanjay, J., Richard, A. W., and Tom, M. C., 1989, “Evaluation of Straightness and Flatness Tolerances Using the Minimum Zone,” Manuf. Rev.,2, No. 3, pp. 189–195.

5. Huang, S. T., Fan, K. C., and John, H. W., 1993, “A New Minimum Zone Method for Evaluating Straightness Errors,” Precis. Eng., 15, No. 3, pp. 158–165.

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