Modeling of Ceramic Bonded Grinding Wheel Structures

Authors

  • J. Rupesh Kumar  M.Tech, Department of Mechanical Engineering, SKD Engineering College, Gooty, Andhra Pradesh, India
  • Dr. R. Ramachandra  Supervisor, Principal & Professor, Department of Mechanical Engineering, SKD Engineering College, Gooty, Andhra Pradesh, India

Keywords:

Mathematical Grinding Wheel Modeling, Granular Structures, Ceramic Bond, CBN

Abstract

The proper choice of a grinding tool is essential for a productive grinding process and a high quality of the resulting work piece surface. Hence, the grinding wheel structure consisting of abrasive grain material, bonding material and pores has to be composed wisely. We present a new approach for mathematically modelling such grinding wheel structures with the objective of predicting the volumetric composition of the grinding wheel components such that grinding requirements can be met without using trial and error methods. For the model, we focus on a small element of a grinding wheel, such as a cube, which we call volumetric structure element (VSE). In this project, we concentrate on several aspects of the modeling procedure, namely the initial grain arrangement, a collision-free grain rotation and translation algorithm to obtain required grain volume fractions in a VSE, the tetrahedral mesh generation for a whole VSE and the modeling of ceramic bond.

References

  1. F. Klocke, Manufacturing Processes 2 - Grinding, Honing, Lapping, SpringerVerlag Berlin Heidelberg, 2009.
  2. I. D. Marinescu, M. P. Hitchiner, E. Uhlmann, W. B. Rowe & I. Inasaki, Handbook of Machining with Grinding Wheels, CRC Press, 2006.
  3. H. K. Tonsho, J. Peters, I. Inasaki & T. Paul, Modelling and Simulation of Grinding Processes, CIRP Annals - Manufacturing Technology, 41 (2), 677-688,1992.
  4. D. A. Doman, A. Warkentin & R. Bauer, A survey of recent grinding wheel topography models, International Journal of Machine Tools and Manufacture,46 (3-4), 343-352, 2006.
  5. E. Brinksmeier, J. C. Aurich, E. Govekar, C. Heinzel, H.-W. Homeister,F. Klocke, J. Peters, R. Rentsch, D. J. Stephenson, E. Uhlmann, K. Weinert& M. Wittmann, Advances in Modeling and Simulation of Grinding Processes, CIRP Annals Manufacturing Technology, 55 (2), 667-696, 2006.
  6. K.-H. Brakhage, M. Makowski, F. Klocke & M. Weiss, Grinding Wheel Modeling: Development of a Mathematical Model, in Proceedings of MASCOT11-IMACS/ISGG Workshop, IMACS Series in Computational and Applied Mathematics, 17, 31-40, 2013.
  7. L. Kobbelt, S. Campagna & H.-P. Seidel, A General Framework for Mesh Decimation, in Proceedings of Graphics Interface, 43-50, 1998.
  8. C. B. Barber, D. P. Dobkin & H. Huhdanpaa, The Quickhull algorithm for Convex Hulls, ACM Transactions on Mathematical Software, 22 (4), 469-483,1996.
  9. B. Gartner, Fast and Robust Smallest Enclosing Balls, in Proceedings of the 7th Annual European Symposium on Algorithms, 325-338, 1999.
  10. J. Conway & N. J. A. Sloane, Sphere Packings, Lattices and Groups, 3rd ed., Springer-Verlag New York, 1999.
  11. M. J. Todd & E. A. Yildirim, On Khachiyan's Algorithm for the Computation of Minimum-Volume Enclosing Ellipsoids, Discrete Applied Mathematics, 155(13), 1731-1744, 2007.
  12. J. R. Shewchuk, Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator, in Applied Computational Geometry: Towards Geometric Engineering, volume 1148 of Lecture Notes in Computer Science, 203-222, SpringerVerlag Berlin Heidelberg, 1996.
  13. H. Si, TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator, ACM Transactions on Mathematical Software, 41 (2), 11:1-11:36, 2015.
  14. Grenzwinkel einer Flussigkeitsbrucke zwischen zwei Kugeln, Chemie Ingenieur Technik, 39 (15), 885-893, 1967.

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Published

2017-10-31

Issue

Section

Research Articles

How to Cite

[1]
J. Rupesh Kumar, Dr. R. Ramachandra, " Modeling of Ceramic Bonded Grinding Wheel Structures, International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011, Volume 3, Issue 7, pp.596-605, September-October-2017.