Modeling of surface topography on diamond-turned spherical and freeform surfaces

Chih Yu Huang, Rongguang Liang

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


Single-point diamond turning machines are capable of generating high-quality spherical and freeform surfaces. However, there are inevitable tool marks on the diamond-turned surfaces. Although several models have been proposed to describe the surface topography of a flat surface, there is a lack of a more general model to describe spherical and freeform surfaces. In this paper, we propose a model to estimate the surface topography of the diamond-turned spherical and freeform surfaces. The model takes into consideration the basic cutting parameters as well as the dominant relative vibration components between the diamond tool and the workpiece in both infeed and feeding directions. We first discuss the principles and create a model for spherical surfaces. The model is then extended to describe more general freeform surfaces. We also show how the micro-waviness of the diamond tool impacts the surface topography. Finally, we conduct a series of face cutting experiments and conclude that there is good correlation between the model and the experimental results.

Original languageEnglish (US)
Pages (from-to)4466-4473
Number of pages8
JournalApplied optics
Issue number15
StatePublished - May 20 2017

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Engineering (miscellaneous)
  • Electrical and Electronic Engineering


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