Study on Mathematical Model of Cylindricality Error

Li Jie Chen; Hong Chao Wu

doi:10.4028/www.scientific.net/AMR.1061-1062.1162

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 1061-1062Study on Mathematical Model of Cylindricality...

Study on Mathematical Model of Cylindricality Error

Abstract:

According to the standard definition of cylindricality error, set up any space surface cylindricality errors of least squares mathematics model. The coordinate origin of the model can be freely selected, nor equal angle interval among discrete sampling points. Analysis by computer simulation, results show that the model developed is right and pratical. On the basis of mathematical models, using four direct algorithm for unconstrained optimization, cylindricality errors can be evaluated in accordance with the minimum conditions. Mathematical models can be used for three-coordinate measuring machine and also available for other intelligent instrument for measuring parts of the cylindricality errors.

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Periodical:

Advanced Materials Research (Volumes 1061-1062)

Pages:

1162-1166

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1061-1062.1162

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Online since:

December 2014

Authors:

Li Jie Chen, Hong Chao Wu

Keywords:

Cylindricality Error, Least-Square Method (LSM), Mathematical Models

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References

[1] Chen L J, Zhang Y, Liu P. Improvement of the traditional roundness measuring instrument[A]. Proceedings of the ICPE'96 & 6th SJSUT. [C], Shenyang: Northeastern University Press, 1996. 363~366.

Google Scholar

[2] Horikawa O, Maruyama N: Precision Engineering. 2001, 25(4): 200~205.

Google Scholar

[3] Samuel G L, Shunmugam M S: Precision Engineering, 2000, 24(3): 251~263.

Google Scholar

[4] Cho N, Tu J: Precision Engineering, 2001, 25(1): 35~47.

Google Scholar

[5] Lin Z C, Lin W S: Precision Engineering, 2001, 25(3): 171~184.

Google Scholar

[6] B/T1182-1996 Geometrical tolerancing-generalities, definitions, symbols, indications on drawings[S].

DOI: 10.3403/02066280

Google Scholar

[7] Chen Li-jie, TIAN Wen-yuan, Zhang Lei: Journal of Northeastern University (Natural Science), 2007, 28(2): 250~253. (in Chinese).

Google Scholar