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Effect of Eccentricity on Roundness Measurement Accuracy for Cylindrical Components with Large Radius

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Abstract

The eccentricity, difficult to adjust for components with a large radius, can lead to roundness measurement distortion. In this paper, the effects of the eccentricity and radius of components were simultaneously analyzed in the roundness measurement. The derived mathematical relationships between roundness measurement error, eccentricity and radius of components were represented graphically. Simulation results show that the larger the radius of components, the greater eccentricity is allowed for a constant roundness measurement accuracy. There is no need to decrease the eccentricity to obtain relatively higher measurement accuracy of roundness for components with a large radius. This is expected to provide insights into the future design and manufacture of large size alignment mechanisms.

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References

  1. ISO/TS 12181-1. Geometrical Product Specifications (GPS)-Roundness-Part 1: Vocabulary and Parameters of Roundness, 2003.

  2. ISO/TS 12181-2. Geometrical Product Specifications (GPS)-Roundness-Part 2: Specification Operators, 2003.

  3. X M Li, Z Y Shi. The relationship between the minimum zone circle and the maximum inscribed circle and the minimum circumscribed circle. Precision Engineering, 2009, 33: 284–290.

    Article  Google Scholar 

  4. G. Moona, M. Jewariya, R. Sharma. Relevance of dimensional metrology in manufacturing industries. Mapan-J. Metrol. Soc. India, 2019, 34(1): 97–104.

    Google Scholar 

  5. A Rossi, M Antonetti, M Barloscio, M Lanzetta. Fast genetic algorithm for roundness evaluation by the minimum zone tolerance(MZT)method. Measurement, 2011, 44: 1243–1252.

    Article  Google Scholar 

  6. X Q Lei, W M Pan, X P Tu, S F Wang. Minimum Zone Evaluation for roundness error based on geometric approximating searching algorithm. Mapan-J. Metrol. Soc. India, 2014, 29(2): 143–149.

    Google Scholar 

  7. A Janusiewicz, S Adamczak, W Makiela, K Stępień. Determining the theoretical method error during an on-machine roundness measurement. Measurement, 2011, 44: 1761–1767.

    Article  Google Scholar 

  8. C Z Sun, L Wanga, J Tan, B Zhao, Y Tang. Design of roundness measurement model with multi-systematic error for cylindrical components with large radius. Review of Scientific Instruments, 2016, 87(2), 025110

    Article  ADS  Google Scholar 

  9. C.-H. Rim, B.-Q. Sun, Y.-G. Kim, P Kim. Analysis of random factors affecting measurement accuracy of portable coordinate measuring arm. Mapan-J. Metrol. Soc. India, 2019, 34(4): 529–539.

    Google Scholar 

  10. D G Chetwynd. Roundness measurement using limacon. Precision Engineering, 1979 1: 137.

    Article  Google Scholar 

  11. D G Chetwynd, P H Phillipson. An investigation of reference criteria used in roundness measurement. Phys E: Sci Instrum, 1980, 13: 530–538.

    Article  ADS  Google Scholar 

  12. D J Whitehouse. A best fit reference line for use in partial arcs. J Phys E: Sci Instruments, 1973, 6: 921–924.

    Article  ADS  Google Scholar 

  13. N Cho, J Tu. Roundness modeling of machined parts for tolerance analysis. Precision Engineering, 2001, 25: 35-47.

    Article  Google Scholar 

  14. C Z Sun, L Wang, J B Tan, B Zhao, T Zhou, Y Kuang, A high-accuracy roundness measurement for cylindrical components by a morphological filter considering eccentricity, probe offset, tip head radius and tilt error. Measurement Science and Technology, 2016, 27(8).

  15. X Q Lei, C Y Zhang, Y J Xue, J S Li. Roundness error evaluation algorithm based on polar coordinate transform, Measurement, 2011, 44(2): 345–350.

    Article  Google Scholar 

  16. B Y Peng, W H Li. Roundness error’s coupling compensation control in eccentric shaft X-C linkage grinding. 3rd International Conference on Mechanical, Control and Computer Engineering, 2018: 263–268.

  17. R T Hobson. Workpiece position control.US,Patent. 4731934, 1998.05.22.

  18. C H Liu, W Y Jywe. A four-degrees-of-freedom microstage for the compensation of eccentricity of a roundness measurement machine. International Journal of Machine Tools & Manufacture, 2004, 44(4): 365–371.

    Article  Google Scholar 

  19. J Zhao, H X Wang. A novel alignment mechanism employing orthogonal connected multi-layered flexible hinges for both leveling and centering. Review of scientific instruments, 2012, 83: 065102.

    Article  ADS  Google Scholar 

  20. H X Wang, P Chai, G W Wang, J J Jia. Design and analysis of precision centering and leveling table based on flexible mechanism. Journal of machine design, 2016, 33(7): 27–30. (in Chinese)

    Google Scholar 

  21. H Y Zhao. A centering and leveling device for ultra-precision measuring machine turntable. CN. Patent. 102607482 A, 2012.(in Chinese)

Download references

Acknowledgements

The authors would like to thank the Managing Editor and the anonymous reviewers for their pertinent comments on this paper.

Funding

This study was supported by Shaanxi Provincial Natural Science Foundation of China (Grant No. 2018JQ5176), Xi’an Technological University President Foundation of China (Grant No. XAGDXJJ17005), Shaanxi Industrial Science and Technology Research Project of China (Grant No. 2016GY-067).

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The author’ contributions are as follows: Hui-Hui Tian was in charge of the whole trial and wrote the manuscript; Ya-Xiao Wang and Hong-Xi Wang assisted with sampling and laboratory analyses.

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Correspondence to Hui-Hui Tian.

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Tian, HH., Wang, YX. & Wang, HX. Effect of Eccentricity on Roundness Measurement Accuracy for Cylindrical Components with Large Radius. MAPAN 35, 317–322 (2020). https://doi.org/10.1007/s12647-020-00378-1

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