New Method of Angle Error Measurement in Angular Artifacts Using Minimum Zone Flatness Plane

Abstract:

Angle error measurement is one of the important icons in orientation tolerances. This paper presents new method of angle error measurement in angular artifacts based on flatness planes. The flatness plane has been developed based on minimum zone method. The method is simple and no expensive equipments like interferometer or autocollimator and index table are required. One prism, having four sides has been presented as an example to show the effectiveness of the proposed method. Results indicate that new method is very effective to measure angle error in angular artifacts.

• Periodical: Applied Mechanics and Materials (Volumes 599-601)
• Pages: 997-1004
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.599-601.997
• Online since: August 2014
• Authors: Muhammad Ilyas Khan*, Shu Yuan Ma
• Keywords: Angle Measurement Error, Flatness Plane, Genetic Algorithm (GA), Minimum Zone Method

References

[1] Stone, J. A., Amer, M., Faust, B., & Zimmerman, J. (2003, November). Angle metrology using AAMACS and two small-angle measurement systems. In Optical Science and Technology, SPIE's 48th Annual Meeting (pp.146-155.

DOI: 10.1117/12.506481

[2] Stone, J. A., Amer, M., Faust, B., & Zimmerman, J. (2004). Uncertainties in small-angle measurement systems used to calibrate angle artifacts. JOURNAL OF RESEARCH-NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY, 109, 319-334.

DOI: 10.6028/jres.109.024

[3] W. T. Estler, Y. H. Queen, and D. Gilsinn, Advanced Angle Metrology at the National Institute of Standards and Technology, Proc. 6th Annual ASPE (1991) pp.21-24.

[4] R. Probst and R. Wittekoph, Angle calibration on precision polygons, Final Report of EUROMET Project #371, report PTB-F-43 (Physikalisch-Technische Bundesanstalt, Braunschweig, Germany) (2001).

[5] ISO/TS 12781-1: 2003. Geometrical product specifications (GPS) – Flatness – Part 1: Vocabulary and parameters of flatness. International Organization for Standardization. Geneva.

DOI: 10.3403/30158860

[6] Cui, C., Li, B., Huang, F., & Zhang, R. (2007). Genetic algorithm-based form error evaluation. Measurement science and technology, 18(7), 1818.

DOI: 10.1088/0957-0233/18/7/004

[7] Deng, G., Wang, G., & Duan, J. (2003). A new algorithm for evaluating form error: the valid characteristic point method with the rapidly contracted constraint zone. Journal of materials processing technology, 139(1), 247-252.

DOI: 10.1016/s0924-0136(03)00229-2

[8] Wen, X. L., Zhu, X. C., Zhao, Y. B., Wang, D. X., & Wang, F. L. (2012). Flatness error evaluation and verification based on new generation geometrical product specification (GPS). Precision Engineering, 36(1), 70-76.

DOI: 10.1016/j.precisioneng.2011.07.006

[9] Cui, C., Li, T., Blunt, L. A., Jiang, X., Huang, H., Ye, R., & Fan, W. (2013). The Assessment of Straightness and Flatness Errors Using Particle Swarm Optimization. Procedia CIRP, 10, 271-275.

DOI: 10.1016/j.procir.2013.08.041

[10] Zhang, L., Yang, X. M., Liu, H., & Guan, P. (2011). Evaluation of the Axial End Flatness Error Based on Genetic Algorithm. Advanced Materials Research, 230, 329-333.

DOI: 10.4028/www.scientific.net/amr.230-232.329

[11] Lay, D. C. Linear Algebra and its Applications. (2000).

[12] Haupt, R. L., & Haupt, S. E. (2004). Practical genetic algorithms. John Wiley & Sons, Hoboken.

[13] Shopova, E. G., & Vaklieva-Bancheva, N. G. (2006). BASIC—A genetic algorithm for engineering problems solution. Computers & chemical engineering, 30(8), 1293-1309.

DOI: 10.1016/j.compchemeng.2006.03.003

[14] Coley, D. A. (1999). An introduction to genetic algorithms for scientists and engineers. World Scientific, Singapore.

[15] Michalewicz, Z. (1996). Genetic algorithms + data structures= evolution programs. Springer-Verlag, New York.