Approximation to the dynamics of transported parts in a vibratory bowl feeder. (English) Zbl 1247.74027
Summary: The most typical procedure for creating flows of parts aimed at feeding a production unit is to use a vibratory bowl feeder. Feed rate and the capacity to move parts and to modify operational status in these feeders depend on a wide range of parameters, which, nonetheless, can be classified as one of three types: dynamic, geometric and electromagnetic. This work describes an approximate model for predicting the behaviour of a part in a vibratory bowl following a modification of parameters in any of the above three groups. The analysis is simplified by using numerical solutions obtained using a simple spreadsheet, which makes the procedure accessible to a wide range of users. Our results are presented in the form of a dynamic simulation using specific software. Finally, conclusions of this study are exposed.
MSC:
| 74H45 | Vibrations in dynamical problems in solid mechanics |
References:
| [1] | Boothroyd, G.: Assembly automation and product design, (1992) |
| [2] | A. Sudsang, L.E. Kavraki, A geometric approach to designing a programmable force field with a unique stable equilibrium for parts in the plane, in: Proceedings IEEE International Conference on Robotics and Automation, Seoul (Korea), May 21 – 26, 2001. |
| [3] | B. Mirtich, Y. Zhuangt, K. Goldbergt, J. Craig, R. Zanutta, B. Carlisle, J. Canny, Estimating pose statistics for robotic part feeders, in: Proceedings of IEEE International Conference on Robotics and Automation, Minneapolis (Minnesota), USA, April 1996. |
| [4] | R.-P. Berrety, K. Goldberg, M.H. Overmars, A.F. Van der Stappen, Geometric algorithms for trap design, in: Symposium on Computational Geometry, Miami Beach (Florida), USA, 1999. |
| [5] | R.-P. Berrety, Geometric Design of Part Feeders, Ph.D. Thesis, University of Utrecht, Department of Computer Science, 2000. |
| [6] | R.-P. Berrety, K. Goldberg, L. Cheung, M.H.B. Overmars, Trap design for vibratory bowl feeders, in: Proceedings of IEEE International Conference on Robotics and Automation, Detroit (Michigan), USA, May 1999. |
| [7] | D. Reznik, J. Canny, K. Goldberg, Analysis of part motion on a longitudinally vibrating plate, in: Proceedings of IEEE International Conference on Intelligent Robots and Systems, vol. 1, September 7 – 11 1997, pp. 421-427. |
| [8] | W.H. Huang, M.T. Mason, Mechanics for vibratory manipulation, in: Proceedings of IEEE International Conference on Robotics and Automation, Alburquerque (New Mexico), USA, April 1997. |
| [9] | Baksys, B.; Puodziuniene, N.: Modeling of vibrational non-impact motion of mobile-based body, Int. J. Non-linear mech. 40, 861-873 (2005) · Zbl 1349.74167 |
| [10] | Wolfsteiner, P.; Pfeiffer, F.: Modeling, simulation, and verification of the transportation process in vibratory feeders, Z. angew. Math. mech. 80, No. 1, 35-48 (2000) · Zbl 0976.70004 · doi:10.1002/(SICI)1521-4001(200001)80:1<35::AID-ZAMM35>3.0.CO;2-X |
| [11] | Lim, G. H.: On the conveying velocity of a vibratory feeder, Computers & structures 62, No. 1, 197-203 (1997) |
| [12] | O. Paleta Hernández, Theoretical Analysis of a Vibratory Transport, Ph.D. Thesis, University of Las Americas, Department of Mechanical Engineering, Puebla (Mexico), May 2003. |
| [13] | M. Moll, M. Erdmann, Uncertainty reduction using dynamics, in: Proceedings of IEEE International Conference on Robotics and Automation, April 2000. |
| [14] | Han, I.; Lee, Y.: Chaotic dynamics of repeated impacts in vibratory bowl feeders, Journal of sound and vibration 249, No. 3, 529-541 (2002) |
| [15] | Choi, S. B.; Lee, D. H.: Modal analysis and control of a bowl parts feeder activated by piezoceramic actuators, J. sound vibr. 275, 452-458 (2004) |
| [16] | R. Fair, H.R. Bolton, Analysis and design of electromagnetic moving-coil vibration generators, in: Proceedings of IEEE sixth International Conference on Electrical Machines and Drives, Paper 10A3, Oxford (United Kingdom), September 1993. |
| [17] | Kim, W.; Kim, J. E.; Kim, Y. Y.: Coil configuration design for the Lorenz force maximization by the topology optimization method: applications to optical pickup coil design, Sensors and actuators A 121, 221-229 (2005) |
| [18] | Osipenko, M. A.; Nyashin, Y. I.; Rudakov, R. N.: A contact problem in the theory of leaf spring bending, Int. J. Solid struct. 40, 3129-3136 (2003) · Zbl 1038.74596 · doi:10.1016/S0020-7683(03)00112-4 |
| [19] | Van Paepegem, W.; Degrieck, J.: Simulating damage and permanent strain in composites under inplane fatigue loading, Comput. struct. 83, 1930-1942 (2005) |
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