Calculation of the best-fit sphere aimed at least material removal

Hao Bo Cheng*, Yun Peng Feng, Fu Chuan Song, Yu Sheng Bian, Li Qiang Ren, Yong Tian Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

Beginning with the principium of aspheric fabrication, the transformation matrix between equipment coordinate and work-piece coordinate is set up. Based on the principle of the least material removal, the material removal from the sphere to the aspheric shape is calculated and the mathematical model is established. The circular and rectangular aperture, the on-axis and off-axis aspheric components are simulated and compared, the results showed that the numerical solution model is effective for off-axis (on-axis) aspheric component, the material removal is minimum, and is thus capable to play a guiding role in processing.

Original languageEnglish
Pages (from-to)418-421+425
JournalBeijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
Volume28
Issue number5
Publication statusPublished - May 2008

Keywords

  • Asphere
  • Best-fitted sphere
  • Least material removal

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