Method of Evaluating the Complexity of Geometries for Free-Form Surfaces


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In order to improve the ability to predict the manufacturability of the free-form surfaces, the complexity of geometries for free-form surfaces is defined and studied. The free-form surfaces are modeled, which is used to calculate the distribution feature values of the surfaces. According to the feature values, free-form surfaces are classified into several clusters based on the fuzzy clustering algorithm. Group patterns are established according to feature values of the samples in the clusters. Then, the method of fuzzy pattern recognition is used to evaluate the surface complexity. The surface samples in the same cluster have close geometry configuration, so they often have similar manufacturing processes. A case study shows that the method can quickly classify the surfaces, largely reflecting the complexity of the free-form surfaces, which can lay the foundation for manufacturability evaluation of the complex surfaces.



Advanced Materials Research (Volumes 490-495)

Edited by:

Ran Chen and Wen-Pei Sung




C. Fan et al., "Method of Evaluating the Complexity of Geometries for Free-Form Surfaces", Advanced Materials Research, Vols. 490-495, pp. 1150-1155, 2012

Online since:

March 2012




[1] Z.X. Zhou, Q.Y. Zhou and Y.H. Ren: Journal of Mechanical Engineering Vol. 46 (2010), p.105, in Chinese.

[2] L. Chen, D.T. Qin, X. Y Zheng: Jouranl of Mechanical Engineering Vol. 38 (2002), p.105, in Chinese.

[3] J. Q Lin, Y. Q Wang: Journal of Jilin University (Engineering and Technology Edition) Vol. 37 (2007). p.386, in Chinese.

[4] F. J Shiou, C. H Chen: Journal of Materials Processing Technology Vol. 140(2003), p.248.

[5] G. Molcho, Y. Zipori, et al: CIRP Annals-Manufacturing Technology Vol. 57 (2008), p.153.

[6] S. Kumar, R. Singh and S.G. Sekhon: Journal of Materials Processing Technology Vol. 37 (2006), p.64.

[7] M. Korosec, J. Balic and J. Kopac: International Journal of Machine Tools & Manufacture Vol 45 (2005): p.13.

[8] G.D. Li, L. S Zhou, L. L An, C. B Tan: China Mechanical Engineering Vol. 10 (2009), p.315, in Chinese.

[9] J. Xie, M. S Zou, X. L Cui. Journal of Mechanical Engineering Vol. 45 (2009), p.158.