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Three-dimensional topography modelling of regular prismatic grain coated abrasive discs

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Abstract

Regular precision-shaped abrasive grains are preferred to irregular grits due to their superior performance regarding uniform polishing. Three-dimensional modelling of abrasive disc’s topography is essential to understand the material removal rate and surface roughness estimations through finite element based numerical simulations. Topography modelling of one such precision (prism)-shaped grain abrasive disc is carried out in this work through stochastic studies. The abrasive discs are scanned using laser profilometer, and high-frequency noise is filtered out using spectral analysis. Spatial parameters such as autocorrelation length and texture aspect ratio are considered for the topology mapping. Based on the statistical information from the measured grit sizes #60 and #120, such as peak protrusion grain height, spatial distributions, the topography is simulated. The analysis reveals that the peak height and spatial distribution follow a normal distribution. Unlike irregularly shaped grains where the orientations of the grains are neglected, the height variations in the precision-shaped grains in coated abrasive discs are mainly caused by random orientations of the grains. So, iterations are carried out for orientation in the three (mutually perpendicular) axes of the grain till the required statistical parameters are achieved. Surface fitting is performed for the distributed grains and the 3D-surface parameters of the simulated coated abrasive topography match well with the actual discs.

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References

  1. Wang G, Zhou X, Yang X, Zhou H, Chen G (2015) Material removal profile for large mould polishing with coated abrasives. Int J Adv Manuf Technol 80(1–4):625–635. https://doi.org/10.1007/s00170-014-6378-2

    Article  Google Scholar 

  2. Fan C, Zhao J, Zhang L, Wong YS, Hong GS, Zhou W (2014) Modeling and analysis of the material removal profile for free abrasive polishing with sub-aperture pad. J Mater Process Technol 214(2):285–294

    Article  Google Scholar 

  3. Wang G, Wang Y, Xu Z (2009) Modeling and analysis of the material removal depth for stone polishing. J Mater Process Technol 209(5):2453–2463. https://doi.org/10.1016/j.jmatprotec.2008.05.041

    Article  Google Scholar 

  4. Cao Y, Guan J, Li B, Chen X, Yang J, Gan C (2013) Modeling and simulation of grinding surface topography considering wheel vibration. Int J Adv Manuf Technol 66(5):937–945. https://doi.org/10.1007/s00170-012-4378-7

    Article  Google Scholar 

  5. Doman DA, Warkentin A, Bauer R (2006) A survey of recent grinding wheel topography models. Int J Mach Tool Manu 46(3–4):343–352. https://doi.org/10.1016/j.ijmachtools.2005.05.013

    Article  Google Scholar 

  6. Koshy P, Jain V, Lal G (1997) Stochastic simulation approach to modelling diamond wheel topography. Int J Mach Tool Manu 37(6):751–761

    Article  Google Scholar 

  7. Chen X, Rowe WB (1996) Analysis and simulation of the grinding process. Part I: generation of the grinding wheel surface. Int J Mach Tool Manu 36(8):871–882

    Article  Google Scholar 

  8. Liu P, Lin B, Yan S, Li Y, Wang B (2016) Numerical simulation and experimental validation of fixed abrasive grinding pad topography. Int J Adv Manuf Technol 83(5–8):1253–1264

    Google Scholar 

  9. Hegeman JBJ-W (2000) Fundamentals of grinding: surface conditions of ground materials. University of Groningen, Groningen

    Google Scholar 

  10. Feng Q, Wang Q, Ren CZ (2011) Three-dimensional simulation of wheel topography. Key Eng Mater 487:149–154

    Article  Google Scholar 

  11. Woodin CT (2014) Effects of dressing parameters on grinding wheel surface topography, PhD thesis. PhD thesis, Georgia Institute of Technology, USA

  12. Wang W, Li J, Fan W, Song X, Wang L (2017) Characteristic quantitative evaluation and stochastic modeling of surface topography for zirconia alumina abrasive belt. Int J Adv Manuf Technol 89(9):3059–3069. https://doi.org/10.1007/s00170-016-9242-8

    Article  Google Scholar 

  13. Anderson D, Warkentin A, Bauer R (2012) Comparison of spherical and truncated cone geometries for single abrasive-grain cutting. J Mater Process Technol 212(9):1946–1953. https://doi.org/10.1016/j.jmatprotec.2012.04.021

    Article  Google Scholar 

  14. Zhi S, Li J, Zarembski AM (2016) Predictive modeling of the rail grinding process using a distributed cutting grain approach. Proc Inst Mech Eng F J Rail 230(6):1540–1560. https://doi.org/10.1177/0954409715605139

    Article  Google Scholar 

  15. Chakrabarti S, Paul S (2008) Numerical modelling of surface topography in superabrasive grinding. Int J Adv Manuf Technol 39(1):29–38

    Article  Google Scholar 

  16. Yan L, Rong YM, Jiang F, Zhou ZX (2011) Three-dimension surface characterization of grinding wheel using white light interferometer. Int J Adv Manuf Technol 55(1):133–141. https://doi.org/10.1007/s00170-010-3054-z

    Article  Google Scholar 

  17. Blunt L, Ebdon S (1996) The application of three-dimensional surface measurement techniques to characterizing grinding wheel topography. Int J Mach Tool Manu 36(11):1207–1226

    Article  Google Scholar 

  18. Butler DL, Blunt LA, See BK, Webster JA, Stout KJ (2002) The characterisation of grinding wheels using 3D surface measurement techniques. J Mater Process Technol 127(2):234–237. https://doi.org/10.1016/S0924-0136(02)00148-6

    Article  Google Scholar 

  19. Nguyen AT, Butler DL (2008) Correlation of grinding wheel topography and grinding performance: a study from a viewpoint of three-dimensional surface characterisation. J Mater Process Technol 208(1):14–23. https://doi.org/10.1016/j.jmatprotec.2007.12.128

    Article  Google Scholar 

  20. Mainsah E, Greenwood JA, Chetwynd DG (2001) Metrology and properties of engineering surfaces. Springer US, Boston. https://doi.org/10.1007/978-1-4757-3369-3

    Book  Google Scholar 

  21. Aurich JC, Herzenstiel P, Sudermann H, Magg T (2008) High-performance dry grinding using a grinding wheel with a defined grain pattern. CIRP J Manuf 57(1):357–362. https://doi.org/10.1016/j.cirp.2008.03.093

    Article  Google Scholar 

  22. Li X, Wolf S, Zhi G, Rong YK (2014) The modelling and experimental verification of the grinding wheel topographical properties based on the ‘through-the-process’ method. Int J Adv Manuf Technol 70(1–4):649–659

    Article  Google Scholar 

  23. Ding W, Linke B, Zhu Y, Li Z, Fu Y, Su H, Xu J (2017) Review on monolayer CBN superabrasive wheels for grinding metallic materials. Chin J Aeronaut 30(1):109–134. https://doi.org/10.1016/j.cja.2016.07.003

    Article  Google Scholar 

  24. Kanatani K (1990) Representation of 3D rotations. In: Group-theoretical methods in image understanding. Springer Berlin Heidelberg, Berlin. pp 197–235. doi:https://doi.org/10.1007/978-3-642-61275-6_6

  25. MathWorks I (2002) Curve fitting toolbox: for use with MATLAB®: user’s guide. MathWorks

  26. Sandwell DT (1987) Biharmonic spline interpolation of GEOS-3 and SEASAT altimeter data. Geophys Res Lett 14(2):139–142. https://doi.org/10.1029/GL014i002p00139

    Article  Google Scholar 

  27. Waikar RA, Guo YB (2008) A comprehensive characterization of 3D surface topography induced by hard turning versus grinding. J Mater Process Technol 197(1):189–199. https://doi.org/10.1016/j.jmatprotec.2007.05.054

    Article  Google Scholar 

  28. Grzesik W, Rech J, Żak K (2015) Characterization of surface textures generated on hardened steel parts in high-precision machining operations. Int J Adv Manuf Technol 78(9):2049–2056. https://doi.org/10.1007/s00170-015-6800-4

    Article  Google Scholar 

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Acknowledgements

First author Adhithya Plato thanks Nanyang Technological University (NTU) Singapore and A*STAR Institute Advanced Remanufacturing Technology Centre (ARTC), Singapore, for the financial support in the form of graduate assistantship. The authors thank Dr. Takashi Sato of ARTC for many useful discussions on this work.

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Authors and Affiliations

  1. School of Mechanical & Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore, 639798, Singapore

    Adhithya Plato Sidharth Arunachalam & Sridhar Idapalapati

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  1. Adhithya Plato Sidharth Arunachalam
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  2. Sridhar Idapalapati
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Correspondence to Sridhar Idapalapati.

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Arunachalam, A.P.S., Idapalapati, S. Three-dimensional topography modelling of regular prismatic grain coated abrasive discs. Int J Adv Manuf Technol 96, 3521–3532 (2018). https://doi.org/10.1007/s00170-018-1731-5

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  • DOI: https://doi.org/10.1007/s00170-018-1731-5

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