Precessions aspheric polishing: new results from the development program

Walker, David D.; Beaucamp, Anthony; Bingham, R. G.; Brooks, D.; Freeman, R. R.; Kim, Sug-Whan; King, Andrew; McCavana, Gerry; Morton, R.; Riley, David R.; Simms, J.

doi:10.1117/12.507462

Cited by 25 publications

(10 citation statements)

References 7 publications

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“…where ∆ z is the integrated material removal from the workpiece surface, κ the removal coefficient of the segment material, P the polishing pressure, V T the magnitude of relative speed between the tool and workpiece surface, and ∆ t the dwell time. Earlier studies [13][14][15][16] showed that the precessing polishing process currently in service uses the measured TIFs of near Gaussian shapes to compute the required dwell time. That method bypasses the need for prior knowledge of the relationship among the material removal (i.e., TIF), polishing pressure, and velocity inside the tool-workpiece contact area (polishing spot).…”

Section: Stifmentioning

confidence: 99%

“…These theoretical TIFs were used to re-produce the characteristics of the measured [13,14] TIFs. First, Fig.…”

Section: Experimental Verification Of Stifmentioning

confidence: 99%

“…They are: i) low tooling overhead, ii) deterministic material removal and iii) embedded process control intelligence. The bulged precessing polishing process [13,14], recently introduced, may have potentials to bring greater improvement than earlier methods [5][6][7][8][9][10][11] for the three elements defined above. In particular, as it moves across the workpiece, the bulged precessing tool tends to conform its shape to the local surface.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Static tool influence function for fabrication simulation of hexagonal mirror segments for extremely large telescopes

Kim¹,

Kim²

2005

Opt. Express

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We present a novel simulation technique that offers efficient mass fabrication strategies for 2m class hexagonal mirror segments of extremely large telescopes. As the first of two studies in series, we establish the theoretical basis of the tool influence function (TIF) for precessing tool polishing simulation for non-rotating workpieces. These theoretical TIFs were then used to confirm the reproducibility of the material removal foot-prints (measured TIFs) of the bulged precessing tooling reported elsewhere. This is followed by the reverse-computation technique that traces, employing the simplex search method, the real polishing pressure from the empirical TIF. The technical details, together with the results and implications described here, provide the theoretical tool for material removal essential to the successful polishing simulation which will be reported in the second study.

show abstract

Section: Stifmentioning

confidence: 99%

“…These theoretical TIFs were used to re-produce the characteristics of the measured [13,14] TIFs. First, Fig.…”

Section: Experimental Verification Of Stifmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Static tool influence function for fabrication simulation of hexagonal mirror segments for extremely large telescopes

Kim¹,

Kim²

2005

Opt. Express

Self Cite

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show abstract

“…Full advantage of the deterministic nature of CNC machining can only be taken if a sub-aperture polishing tool instantly adapts (conforms) to the local surface and its removal function is well characterized and stable. Commonly used mechanical tools with air pressure or an elastic cushion behind the polishing pad do not provide the required level of adaptability and stability [1,2].…”

Section: Osamentioning

confidence: 99%

“…is the diameter of particle and  is the shear rate. The dimensionless coefficient K takes into account other flow parameters such as concentration, mechanical properties of particles, carrier fluid damping properties, flow geometry, etc.According to(2), the problem of evaluation of the particle force is mainly reduced to determining of the flow shear rate at the surface of interest. In the following analysis the shear rate is obtained by numerical modeling of the particular shear flow taking into account rheological properties of the media.…”

mentioning

confidence: 99%

Material removal in magnetorheological finishing of optics

2011

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A concept of material removal based on the principle of conservation of particles momentum in a binary suspension is applied to analyze material removal in magnetorheological finishing and magnetorheological jet processes widely used in precision optics fabrication. According to this concept, a load for surface indentation by abrasive particles is provided at their interaction near the wall with heavier basic (magnetic) particles, which fluctuate (due to collision) in the shear flow of concentrated suspension. The model is in good qualitative and quantitative agreement with experimental results.

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Kernel TIF method for effective material removal control in rotating pitch tool-based optical figuring

Yang

Lee

et al. 2010

Int J Adv Manuf Technol

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Precessions aspheric polishing: new results from the development program

Cited by 25 publications

References 7 publications

Static tool influence function for fabrication simulation of hexagonal mirror segments for extremely large telescopes

Static tool influence function for fabrication simulation of hexagonal mirror segments for extremely large telescopes

Material removal in magnetorheological finishing of optics

Kernel TIF method for effective material removal control in rotating pitch tool-based optical figuring

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