Reconstruction of three-dimensional turned shaft surfaces with fractal functions
S. Thielen, B. Magyar, A. Piros, Tribology International 95 (2016) 349–357.
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Journal Article
| English
Author
Thielen, Stefan;
Magyar, BalázsLibreCat;
Piros, Attila
Department
Abstract
A method for the reconstruction of turned shaft surfaces with a (fractal) Weierstrass–Mandelbrot-function (WMF) is presented. The WMF is modified to allow to freely choose a phase-shift for every frequency. The reconstruction is based on distinct profiles in axial and tangential direction and the statistical distribution of low-wavelength portions of the surface is taken into account by adding t-distributed random deviations to the surface. The work is validated by reconstructing measured shaft surfaces with different manufacturing parameters, which shows good accuracy for periodic surfaces. This method allows for a characterization of surfaces with a limited number of parameters and can be used to store the characteristics of measured surfaces with a reduced amount of data compared to a point-cloud surface.
Publishing Year
Journal Title
Tribology International
Volume
95
Page
349-357
ISSN
LibreCat-ID
Cite this
Thielen S, Magyar B, Piros A. Reconstruction of three-dimensional turned shaft surfaces with fractal functions. Tribology International. 2016;95:349-357. doi:https://doi.org/10.1016/j.triboint.2015.11.028
Thielen, S., Magyar, B., & Piros, A. (2016). Reconstruction of three-dimensional turned shaft surfaces with fractal functions. Tribology International, 95, 349–357. https://doi.org/10.1016/j.triboint.2015.11.028
@article{Thielen_Magyar_Piros_2016, title={Reconstruction of three-dimensional turned shaft surfaces with fractal functions}, volume={95}, DOI={https://doi.org/10.1016/j.triboint.2015.11.028}, journal={Tribology International}, author={Thielen, Stefan and Magyar, Balázs and Piros, Attila}, year={2016}, pages={349–357} }
Thielen, Stefan, Balázs Magyar, and Attila Piros. “Reconstruction of Three-Dimensional Turned Shaft Surfaces with Fractal Functions.” Tribology International 95 (2016): 349–57. https://doi.org/10.1016/j.triboint.2015.11.028.
S. Thielen, B. Magyar, and A. Piros, “Reconstruction of three-dimensional turned shaft surfaces with fractal functions,” Tribology International, vol. 95, pp. 349–357, 2016, doi: https://doi.org/10.1016/j.triboint.2015.11.028.
Thielen, Stefan, et al. “Reconstruction of Three-Dimensional Turned Shaft Surfaces with Fractal Functions.” Tribology International, vol. 95, 2016, pp. 349–57, doi:https://doi.org/10.1016/j.triboint.2015.11.028.
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