Mathematical modelling of influence functions in computer-controlled polishing: Part II

Schinhaerl, Markus; Smith, Gordon; Stamp, Richard; Rascher, Rolf; Smith, Lyndon; Pitschke, Elmar; Sperber, Peter; Geiss, Andreas

doi:10.1016/j.apm.2007.10.012

Cited by 24 publications

(12 citation statements)

References 2 publications

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“…[9], which is a direct consequence of Archard's law of wear and Amonton's law of friction, differs from the conventional Preston equation in that the MRR has a strong dependence on both V 2 p and PV p . In order to verify the proposed MRR model for MR finishing, additional experiments are performed and the results are compared with Eqs.…”

Section: Model Verificationmentioning

confidence: 92%

“…[1] and [9], it can be seen that this model is substantially different from the conventional Preston equation in that the MRR is not only a sole function of PV p , but it also shows a strong dependence on V 2 p . Figures 2 and 3 show the experimental setup we used to examine the tribological properties of the MR fluid, specifically the friction and machining characteristics.…”

Section: Materials Removal Ratementioning

confidence: 99%

“…In order to verify the proposed MRR model for MR finishing, additional experiments are performed and the results are compared with Eqs. [1] and [9]. Using the least squares method, the best fitted lines (with R 2 ≈ 0.387 and C p ≈ 3.937 × 10 −14 for Eq.…”

Section: Model Verificationmentioning

confidence: 99%

“…DeGroote, et al (7) further developed this model through the inclusion of the near surface mechanical properties, abrasive size and concentration, glass chemical durability, and glass average single bond strength and quantified the effect of each term on the MRR by performing various experiments. Schinhaerl, et al (8), (9) performed a mathematical modeling study that takes into account process parameters, such as the wheel speed, the magnetic field strength, and the fluid flow rate, to predict the shape and size of the influence function that contains the information about the material removal characteristic of the polishing tool on high-quality optical lenses, and they experimentally verified the effectiveness of their model. In the wheel-type MR finishing process, the MR fluid is attached to a rotating wheel-shaped permanent magnet and directly imposes the shear stress at the workpiece surface, thus removing the materials (Seok, et al (11)).…”

Section: Introductionmentioning

confidence: 98%

“…In the ribbon-type MR finishing process, the MR fluid mixed with non-magnetizable abrasives is injected onto a rotating wheel through a nozzle, and this mixed MR fluid forms a ribbon on the wheel (Shorey,et al (5); DeGroote, et al (7); Schinhaerl,et al (8), (9)). With the application of the external magnetic field near the workpiece, the abrasives inside the MR fluid are pushed onto its surface due to the gradient of the magnetic field density and remove the material from the workpiece surface when the MR fluid is fed into the interface between the rotating wheel and the workpiece surface (Shorey,et al (5); DeGroote, et al (7)).…”

Section: Introductionmentioning

confidence: 98%

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Tribological Properties of a Magnetorheological (MR) Fluid in a Finishing Process

Seok

Lee

Jang

et al. 2009

Tribology Transactions

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This article examines the tribological properties of a magnetorheological (MR) fluid in a finishing process. The MR fluid under investigation contains about 85 wt% of micro-sized carbonyl iron (CI) particles and about 15 wt% of water and surfactant(s) compound. A semi-empirical material removal model is proposed for the description of the tribological behavior of the MR fluid in the finishing process by considering both the solid-and fluid-like characteristics of the fluid in a magnetic field. Additionally, Archard's theory and Amonton's law of friction are applied to the model, which is completed by experimental efforts to identify the relationship between the effective friction coefficient and the ratio of the interfacial particle velocity to the imposed pressure on the workpiece surface.It turns out that the effective friction coefficient has a linear relationship with this ratio. The validity of the proposed model is supported through material removal rate measurements. It is also shown that the proposed model is substantially different from the conventional Preston equation in that the material removal rate is not only a function of the product of the applied normal pressure and relative velocity, but it also strongly depends on the square of the relative velocity.

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Section: Model Verificationmentioning

confidence: 92%

Section: Materials Removal Ratementioning

confidence: 99%