Edge effects with Preston equation

Luna-Aguilar, Esteban; Cordero-Dávila, Alberto; Gonzalez, J Castello; Nunez-Alfonso, Manuel; Cabrera, Víctor Hugo; Robledo-Sánchez, Carlos; Cuautle-Cortéz, Jorge; Pedrayes, María H.

doi:10.1117/12.459869

Cited by 20 publications

(11 citation statements)

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“…R. A. Jones suggested a linear pressure distribution model in 1986 [8]. Luna-Aguilar, et al(2003) and Cordero-Davila, et al(2004) developed this approach further using a non-linear high pressure distribution near the edge-side of the workpiece, however they did not report the model's validity by demonstrating it using experimental evidence [13,14]. These analytical pressure distributions were fed into the Preston's equation, Eq.…”

Section: Introductionmentioning

confidence: 99%

“…For any real polishing tool, the actual removal distribution is a complex function of many factors such as tool-workpiece configuration, tool stiffness, polishing compounds, polishing pad, and so forth. The analytical pressure distribution, p(x,y), approaches [8,13,14] tend to ignore some of these effects. Also, in the edge TIF cases, the linearity for Preston's equation may need to be re-considered since the pressure distribution changes in wide pressure value range.…”

Section: Introductionmentioning

confidence: 99%

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Parametric modeling of edge effects for polishing tool influence functions

et al. 2009

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Computer controlled polishing requires accurate knowledge of the tool influence function (TIF) for the polishing tool (i.e. lap). While a linear Preston's model for material removal allows the TIF to be determined for most cases, nonlinear removal behavior as the tool runs over the edge of the part introduces a difficulty in modeling the edge TIF. We provide a new parametric model that fits 5 parameters to measured data to accurately predict the edge TIF for cases of a polishing tool that is either spinning or orbiting over the edge of the workpiece.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Parametric modeling of edge effects for polishing tool influence functions

et al. 2009

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“…Cordero-Dá vila et al 17 presented a new pressure distribution model to predict the edge effect while avoiding the negative pressure problem. For this model, the pressure is significantly higher at the border points of the glass.…”

Section: Introductionmentioning

confidence: 99%

Edge effects with the Preston equation for a circular tool and workpiece

Cordero-Dávila¹,

González-García²,

Pedrayes-López³

et al. 2004

Appl. Opt.

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“…In 1986, Jones suggested a linear model for the pressure distribution [3]. In 2004, Luna-Aguilar developed the skin model for the nonlinear approach [9]. In 2016, Nam reported the modified FEA model for accurate prediction of the pressure distribution [11].…”

Section: Introductionmentioning

confidence: 99%

“…Traditional opticians need to balance working parameters for various kinds of tools and workpieces to ensure a good clear aperture. Based on previous research results [6][7][8][9][10][11], the edge effect includes two parts:…”

Section: Introductionmentioning

confidence: 99%

Edge control in a computer controlled optical surfacing process using a heterocercal tool influence function

Hu¹,

Zhang²,

Ford³

et al. 2016

Opt. Express

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Edge effect is regarded as one of the most difficult technical issues in a computer controlled optical surfacing (CCOS) process. Traditional opticians have to even up the consequences of the two following cases. Operating CCOS in a large overhang condition affects the accuracy of material removal, while in a small overhang condition, it achieves a more accurate performance, but leaves a narrow rolled-up edge, which takes time and effort to remove. In order to control the edge residuals in the latter case, we present a new concept of the 'heterocercal' tool influence function (TIF). Generated from compound motion equipment, this type of TIF can 'transfer' the material removal from the inner place to the edge, meanwhile maintaining the high accuracy and efficiency of CCOS. We call it the 'heterocercal' TIF, because of the inspiration from the heterocercal tails of sharks, whose upper lobe provides most of the explosive power. The heterocercal TIF was theoretically analyzed, and physically realized in CCOS facilities. Experimental and simulation results showed good agreement. It enables significant control of the edge effect and convergence of entire surface errors in large tool-to-mirror size-ratio conditions. This improvement will largely help manufacturing efficiency in some extremely large optical system projects, like the tertiary mirror of the Thirty Meter Telescope. References and links1. V. Rupp, "The development of optical surfaces during the grinding process,"

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Edge effects with Preston equation

Cited by 20 publications

References 0 publications

Parametric modeling of edge effects for polishing tool influence functions

Parametric modeling of edge effects for polishing tool influence functions

Edge effects with the Preston equation for a circular tool and workpiece

Edge control in a computer controlled optical surfacing process using a heterocercal tool influence function

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