Fabrication of hierarchical freeform surfaces by 2D compliant vibration-assisted cutting

Yanjie Yuan, Dawei Zhang, Xiubing Jing, Hanyu Zhu, Wu Le Zhu*, Jian Cao, Kornel F. Ehmann

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


In this paper, instead of the commonly used fast tool servo method, a two degrees-of-freedom (2D) vibration-assisted machining method is proposed to enable the efficient generation of freeform surfaces with hierarchical micro/nano-structures. With this method, the freeform component of the surface is realized by 1D vibrations in the depth-of-cut direction, whereas the hierarchical micro/nano-structures are generated by elliptical vibrations at high frequency and small vibration amplitudes. The determination of the tool vibration path, considering tool geometry and the interference between the tool's flank surface and the machined surface, is presented and used as the basis to propose a surface generation algorithm for topography prediction. Using a developed 2D vibration compliant cutting system, experiments were conducted to machine hierarchical sinusoidal and discontinuous cubic surface arrays for demonstration. The results show a high consistency between the simulated and generated topographies demonstrating the effectiveness of the proposed method for the efficient machining of hierarchical freeform surfaces. In addition, wettability tests were undertaken to demonstrate that larger wetting angles can be obtained on hierarchical freeform surfaces as compared to their smooth counterparts.

Original languageEnglish (US)
Pages (from-to)454-464
Number of pages11
JournalInternational Journal of Mechanical Sciences
StatePublished - Mar 2019


  • 2D vibration-assisted cutting
  • Compliant machining
  • Hierarchical freeform surfaces

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Applied Mathematics
  • General Materials Science
  • Civil and Structural Engineering


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