Torus Form Inspection Using Coordinate Sampling

Author:

Antonio Aguirre-Cruz Juan1,Raman Shivakumar1

Affiliation:

1. 202 W. Boyd, Ste. 124, CEC, University of Oklahoma, Norman, OK 73019

Abstract

Flatness, circularity, and straightness have been studied quite extensively in literature. Forms such as torus are seldom studied. Yet, parts such as ball bearings and Toroidal-CVT have torus features that must be inspected for three-dimensional (3D) form. This research studies the torus form tolerances, herein termed torisity. Mathematical representation for coordinate form verification and fitting methods are each developed for torus forms for the very first time through this research. Three known sampling methods (Hammersley, Aligned systematic, and Random), 3 sample sizes (40, 80, and 120), 2 analysis approaches (horizontal and vertical), and 2 fitting algorithms (least squares and linear optimization) are developed and studied within a designed experiment for torus verification. Analysis shows that different combinations of the above factors lead to different outcomes. It is hoped that this analysis provides the foundation for the development of a future decision support system that can further lead to standards and solutions.

Publisher

ASME International

Subject

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

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Simulation and analysis of error impact on freeform surface milling;The International Journal of Advanced Manufacturing Technology;2013-09-21

2. Origin offset and axes misalignment compensation in complex form parameter estimation using CMM;The International Journal of Advanced Manufacturing Technology;2013-03-26

3. Form Tolerance Evaluation of Toroidal Surfaces Using Particle Swarm Optimization;Journal of Manufacturing Science and Engineering;2009-09-24

4. Mathematical Foundations for Form Inspection and Adaptive Sampling;Journal of Manufacturing Science and Engineering;2009-07-07

5. Inspection of the cylindrical surface feature after turning using coordinate metrology;International Journal of Machine Tools and Manufacture;2007-10

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