Modeling and analysis of sub-aperture tool influence functions for polishing curved surfaces

Songlin Wan, Xiangchao Zhang, Hao Zhang, Min Xu, Xiangqian Jiang

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Computer controlled optical surfacing requires accurate tool influence functions (TIFs) for deterministic fabrication of smooth curved surfaces. In the present paper, the three dimensional TIFs are investigated separately from their radial profiles, which can be simplified into circular arcs. TIFs are found significantly affected by the form deviation between the polishing pad and the workpiece, regardless of the specific shape of the workpiece. A new analytical TIF model is proposed as a function associated with the relative curvature difference. The condition to guarantee single-peak TIFs is then derived, which is of essence for stable planning of polishing paths. Thereby appropriate processing parameters can be selected accordingly. Practical experimental results demonstrate that the new model can reliably predict the TIFs in different situations, and the modelling error is greatly improved compared to the conventional methods.
LanguageEnglish
Pages415-425
Number of pages11
JournalPrecision Engineering
Volume51
Early online date28 Sep 2017
DOIs
Publication statusPublished - Jan 2018

Fingerprint

Polishing
Hard facing
Planning
Fabrication
Processing

Cite this

Wan, Songlin ; Zhang, Xiangchao ; Zhang, Hao ; Xu, Min ; Jiang, Xiangqian. / Modeling and analysis of sub-aperture tool influence functions for polishing curved surfaces. In: Precision Engineering. 2018 ; Vol. 51. pp. 415-425.
@article{cb6bfa18acf64efb9ea5cf57951f40a3,
title = "Modeling and analysis of sub-aperture tool influence functions for polishing curved surfaces",
abstract = "Computer controlled optical surfacing requires accurate tool influence functions (TIFs) for deterministic fabrication of smooth curved surfaces. In the present paper, the three dimensional TIFs are investigated separately from their radial profiles, which can be simplified into circular arcs. TIFs are found significantly affected by the form deviation between the polishing pad and the workpiece, regardless of the specific shape of the workpiece. A new analytical TIF model is proposed as a function associated with the relative curvature difference. The condition to guarantee single-peak TIFs is then derived, which is of essence for stable planning of polishing paths. Thereby appropriate processing parameters can be selected accordingly. Practical experimental results demonstrate that the new model can reliably predict the TIFs in different situations, and the modelling error is greatly improved compared to the conventional methods.",
keywords = "Curvature, Curved surface, Optics fabrication, Polishing, Tool influence function",
author = "Songlin Wan and Xiangchao Zhang and Hao Zhang and Min Xu and Xiangqian Jiang",
year = "2018",
month = "1",
doi = "10.1016/j.precisioneng.2017.09.013",
language = "English",
volume = "51",
pages = "415--425",
journal = "Precision Engineering",
issn = "0141-6359",
publisher = "Elsevier Inc.",

}

Modeling and analysis of sub-aperture tool influence functions for polishing curved surfaces. / Wan, Songlin; Zhang, Xiangchao; Zhang, Hao; Xu, Min; Jiang, Xiangqian.

In: Precision Engineering, Vol. 51, 01.2018, p. 415-425.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Modeling and analysis of sub-aperture tool influence functions for polishing curved surfaces

AU - Wan, Songlin

AU - Zhang, Xiangchao

AU - Zhang, Hao

AU - Xu, Min

AU - Jiang, Xiangqian

PY - 2018/1

Y1 - 2018/1

N2 - Computer controlled optical surfacing requires accurate tool influence functions (TIFs) for deterministic fabrication of smooth curved surfaces. In the present paper, the three dimensional TIFs are investigated separately from their radial profiles, which can be simplified into circular arcs. TIFs are found significantly affected by the form deviation between the polishing pad and the workpiece, regardless of the specific shape of the workpiece. A new analytical TIF model is proposed as a function associated with the relative curvature difference. The condition to guarantee single-peak TIFs is then derived, which is of essence for stable planning of polishing paths. Thereby appropriate processing parameters can be selected accordingly. Practical experimental results demonstrate that the new model can reliably predict the TIFs in different situations, and the modelling error is greatly improved compared to the conventional methods.

AB - Computer controlled optical surfacing requires accurate tool influence functions (TIFs) for deterministic fabrication of smooth curved surfaces. In the present paper, the three dimensional TIFs are investigated separately from their radial profiles, which can be simplified into circular arcs. TIFs are found significantly affected by the form deviation between the polishing pad and the workpiece, regardless of the specific shape of the workpiece. A new analytical TIF model is proposed as a function associated with the relative curvature difference. The condition to guarantee single-peak TIFs is then derived, which is of essence for stable planning of polishing paths. Thereby appropriate processing parameters can be selected accordingly. Practical experimental results demonstrate that the new model can reliably predict the TIFs in different situations, and the modelling error is greatly improved compared to the conventional methods.

KW - Curvature

KW - Curved surface

KW - Optics fabrication

KW - Polishing

KW - Tool influence function

UR - http://www.scopus.com/inward/record.url?scp=85030753950&partnerID=8YFLogxK

U2 - 10.1016/j.precisioneng.2017.09.013

DO - 10.1016/j.precisioneng.2017.09.013

M3 - Article

VL - 51

SP - 415

EP - 425

JO - Precision Engineering

T2 - Precision Engineering

JF - Precision Engineering

SN - 0141-6359

ER -