Modeling and validation of polishing tool influence functions for manufacturing segments for an extremely large telescope

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

We present a simulation technique to predict tool influence functions (TIFs) based on the Precessions polishing process, which is driven by addressing mass fabrication of the European Extremely Large Telescope mirror segments. Precessions polishing requires accurate and predictable TIFs to optimize the multiple process parameters, particularly when sequential polishing runs are performed by different polishing tools. In this paper, the static and dynamic TIFs are simulated based on the Preston equation. The velocity distribution is calculated according to the geometry of the precession motion. The pressure distribution at the polishing spot is calculated by means of finite element analysis (FEA). The FEA result is validated by direct force measurement with a simulation error of 4.3%. The simulation results of TIFs are verified by an experiment that shows the residual errors are less than 5% for both static and dynamic TIFs.

Original languageEnglish
Pages (from-to)5781-5787
Number of pages7
JournalApplied Optics
Volume52
Issue number23
DOIs
Publication statusPublished - 10 Aug 2013
Externally publishedYes

Fingerprint

Polishing
polishing
Telescopes
manufacturing
telescopes
precession
Finite element method
simulation
Force measurement
Velocity distribution
pressure distribution
Pressure distribution
Mirrors
velocity distribution
mirrors
Fabrication
fabrication
Geometry
geometry
Experiments

Cite this

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title = "Modeling and validation of polishing tool influence functions for manufacturing segments for an extremely large telescope",
abstract = "We present a simulation technique to predict tool influence functions (TIFs) based on the Precessions polishing process, which is driven by addressing mass fabrication of the European Extremely Large Telescope mirror segments. Precessions polishing requires accurate and predictable TIFs to optimize the multiple process parameters, particularly when sequential polishing runs are performed by different polishing tools. In this paper, the static and dynamic TIFs are simulated based on the Preston equation. The velocity distribution is calculated according to the geometry of the precession motion. The pressure distribution at the polishing spot is calculated by means of finite element analysis (FEA). The FEA result is validated by direct force measurement with a simulation error of 4.3{\%}. The simulation results of TIFs are verified by an experiment that shows the residual errors are less than 5{\%} for both static and dynamic TIFs.",
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Modeling and validation of polishing tool influence functions for manufacturing segments for an extremely large telescope. / Li, Hongyu; Walker, David; Yu, Guoyu; Zhang, Wei.

In: Applied Optics, Vol. 52, No. 23, 10.08.2013, p. 5781-5787.

Research output: Contribution to journalArticle

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