---
_id: '34439'
abstract:
- lang: eng
  text: 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.
author:
- first_name: Stefan
  full_name: Thielen, Stefan
  last_name: Thielen
- first_name: Balázs
  full_name: Magyar, Balázs
  id: '97759'
  last_name: Magyar
- first_name: Attila
  full_name: Piros, Attila
  last_name: Piros
citation:
  ama: Thielen S, Magyar B, Piros A. Reconstruction of three-dimensional turned shaft
    surfaces with fractal functions. <i>Tribology International</i>. 2016;95:349-357.
    doi:<a href="https://doi.org/10.1016/j.triboint.2015.11.028">https://doi.org/10.1016/j.triboint.2015.11.028</a>
  apa: Thielen, S., Magyar, B., &#38; Piros, A. (2016). Reconstruction of three-dimensional
    turned shaft surfaces with fractal functions. <i>Tribology International</i>,
    <i>95</i>, 349–357. <a href="https://doi.org/10.1016/j.triboint.2015.11.028">https://doi.org/10.1016/j.triboint.2015.11.028</a>
  bibtex: '@article{Thielen_Magyar_Piros_2016, title={Reconstruction of three-dimensional
    turned shaft surfaces with fractal functions}, volume={95}, DOI={<a href="https://doi.org/10.1016/j.triboint.2015.11.028">https://doi.org/10.1016/j.triboint.2015.11.028</a>},
    journal={Tribology International}, author={Thielen, Stefan and Magyar, Balázs
    and Piros, Attila}, year={2016}, pages={349–357} }'
  chicago: 'Thielen, Stefan, Balázs Magyar, and Attila Piros. “Reconstruction of Three-Dimensional
    Turned Shaft Surfaces with Fractal Functions.” <i>Tribology International</i>
    95 (2016): 349–57. <a href="https://doi.org/10.1016/j.triboint.2015.11.028">https://doi.org/10.1016/j.triboint.2015.11.028</a>.'
  ieee: 'S. Thielen, B. Magyar, and A. Piros, “Reconstruction of three-dimensional
    turned shaft surfaces with fractal functions,” <i>Tribology International</i>,
    vol. 95, pp. 349–357, 2016, doi: <a href="https://doi.org/10.1016/j.triboint.2015.11.028">https://doi.org/10.1016/j.triboint.2015.11.028</a>.'
  mla: Thielen, Stefan, et al. “Reconstruction of Three-Dimensional Turned Shaft Surfaces
    with Fractal Functions.” <i>Tribology International</i>, vol. 95, 2016, pp. 349–57,
    doi:<a href="https://doi.org/10.1016/j.triboint.2015.11.028">https://doi.org/10.1016/j.triboint.2015.11.028</a>.
  short: S. Thielen, B. Magyar, A. Piros, Tribology International 95 (2016) 349–357.
date_created: 2022-12-15T09:56:44Z
date_updated: 2022-12-15T09:56:59Z
department:
- _id: '146'
doi: https://doi.org/10.1016/j.triboint.2015.11.028
extern: '1'
intvolume: '        95'
keyword:
- Roughness
- Structure
- Fractal
- Machining
language:
- iso: eng
page: 349-357
publication: Tribology International
publication_identifier:
  issn:
  - 0301-679X
status: public
title: Reconstruction of three-dimensional turned shaft surfaces with fractal functions
type: journal_article
user_id: '38077'
volume: 95
year: '2016'
...