Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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The Rolling Behavior of a Small Regular Polygonal Part on an Inclined Plane

경사면 위에서 작은 정다각형 부품의 구름 거동

  • 한인환 (홍익대학교 기계정보공학과)
  • Published : 2006.11.01
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Abstract

This paper presents the mathematical model for rolling behaviors of a small regular polygonal part on an inclined plane. Throughout the numerical analysis performed with the simulation program which has been experimentally validated, it is shown that the number of edges of the rolling polygonal part can be a measure for the energy dissipation rather than the coefficient of friction. The appropriate slope angle has been found to be around 20 degree for roughness-separation as well as shape-separation of polygonal parts which have small number of edges. In additions, the vibratory motion applied to the inclined plane is able to cause mixed parts to be separated more effectively according to the shape or the roughness. Finally, a couple of parts separation methods based on the analysis results are presented, and are validated through the numerical simulation.

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References

  1. Swanson, P., 1997, 'Orienting Small Parts with Passive Juggling,' Assembly Automation, Vol. 17, No. 2, pp. 122-128 https://doi.org/10.1108/01445159710171338
  2. Furuuchi, M. and Gotoh, K., 1992, 'Shape Separation of Particles,' Powder Technology, Vol. 73, pp. 1-9 https://doi.org/10.1016/0032-5910(92)87001-Q
  3. Beunder, E. M. and Rem, P. C., 2003, 'The Motion of a Rolling Polygon,' ASME Journal of Applied Mechanics, Vol. 70, pp. 275-280 https://doi.org/10.1115/1.1481893
  4. Beunder, E. M. and Rem, P. C., 1999, 'Screening Kinetics of Cylindrical Particles,' International Journal of Mineral Processing., Vol. 57, pp. 73-81 https://doi.org/10.1016/S0301-7516(99)00007-1
  5. Shinohara, K., 1986, 'Fundamental Analysis on Gravitational Separation of Differently Shaped Particle on Inclined Plates,' Powder Technology, Vol. 48, pp. 159-159 https://doi.org/10.1016/0032-5910(86)80074-2
  6. Muchova, L., Mooij, M., van Kooy, L. and Berkhout, P., 2005, 'A Cascade wire Separator,' International Journal of Mineral Processing, Vol. 78, pp. 40-48 https://doi.org/10.1016/j.minpro.2005.07.005
  7. Beunder, E. M., van Olst, K. A. and Rem, P. C., 2002, 'Shape Separation on a Rotating Cone,' International Journal of Mineral Processing, Vol. 67 No. 1/4, pp. 145-160 https://doi.org/10.1016/S0301-7516(02)00036-4
  8. Furuuchi, M. and Gotoh, K., 1988, 'Continuous Shape Separation of Binary Mixture of Granular Particles,' Powder Technology, Vol. 54, ？pp. 31-37 https://doi.org/10.1016/0032-5910(88)80046-9
  9. Han, I. and Gilmore, B. J., 1993, 'Multi-Body Impact Motion with Friction-Analysis, Simulation and Experimental Validation,' ASME Journal of Mechanical Design, Vol. 115, pp. 412-422 https://doi.org/10.1115/1.2919206
  10. Han, I., 2002, 'Microparticle Impact Motion with Adhesion and Frictional Forces,' Trans. A of the Korean Society of Mechanical Engineers, Vol. 26, No. 8, pp. 1698-1708 https://doi.org/10.3795/KSME-A.2002.26.8.1698
  11. Han, I. and Park, S., 2001, 'Impulsive Motion Planning for Positioning and Orienting a Polygonal Part,' International Journal of Robotics Research, Vol. 20, No. 3, pp. 249-262 https://doi.org/10.1177/02783640122067381
  12. Han, I. and Lee, Y., 2002, 'Chaotic Dynamics of Repeated Impacts in Vibratory Bowl Feeders,' Journal of Sound and Vibration, Vol. 249, No. 3, pp. 529-541 https://doi.org/10.1006/jsvi.2001.3874
  13. Jaksic, N. I. and Maul, G. P., 2001, 'Development of a Model for Part Reorientation in Vibratory Bowl Feeders with Active Air Jet Tooling,' Robotics and Computer-Integrated Manufacturing, Vol. 17, No. 1/2, pp. 145-149 https://doi.org/10.1016/S0736-5845(00)00048-X
  14. Frei, P., 2002, 'An Intelligent Vibratory Conveyor for the Individual Object Transportation in Two Dimensions,' Proc. of IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, pp. 1832-1837 https://doi.org/10.1109/IRDS.2002.1044022

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