Circularity error evaluation: Theory and algorithm

Many procedures for the evaluation of circularity error based on different criteria have been developed. The procedures that are based on the minimum radial separation criterion are either too complex or lack an algorithmic approach to find optimal solution. This paper presents an optimization-based...

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Bibliographic Details
Published in:Precision engineering 1999-07, Vol.23 (3), p.164-176
Main Authors: Wang, M., Cheraghi, S.Hossein, Masud, Abu S.M.
Format: Article
Language:English
Subjects:
Algorithms
Applied sciences
Circularity
Computer simulation
Computer software
Exact sciences and technology
Industrial metrology. Testing
Mechanical engineering. Machine design
Mechanical variables measurement
Minimum radial separation
Nonlinear equations
Optimization
Problem solving
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Summary:Many procedures for the evaluation of circularity error based on different criteria have been developed. The procedures that are based on the minimum radial separation criterion are either too complex or lack an algorithmic approach to find optimal solution. This paper presents an optimization-based technique to find the value of circularity error based on the minimum radial separation criterion. The problem is formulated as a nonlinear optimization problem. Based on the developed necessary and sufficient conditions a generalized nonlinear optimization procedure is presented. The performance of the developed procedure is analyzed for different size problems generated using a simulation program. Results indicate that the procedure is accurate and very efficient in solving large size real life problems.
ISSN:0141-6359
1873-2372
DOI:10.1016/S0141-6359(99)00006-9