Berretty, R.-P., Goldberg, K., Cheung, L., Overmars, M. H., Smith, G., and van der Stappen, A. F. 1999. Trap design for vibratory bowl feeders. IEEE International Conference on Robotics and Automation, pp. 2558--2563, Detroit, MI, May.  Home/Search   Document Details and Download   Summary   Related Articles   Check

.... problem of parts feeder design is to design an environment that reduces the uncertainty in the state of a part (or set of parts) The feeder may rely solely on the geometry of specially designed fixtures interacting with a part on a conveyor belt or in a gravity field [8] 10] 29] 31] 20] [3], 5] 25] 32] 33] or specially designed motions of generic surfaces [11] 26] 12] 34] 7] 1] 6] 19] or some combination of geometry, materials, and motion (open loop or sensor based) design. In all cases, the goal is to collapse the possible initial states of the part into a ....

R.-P. Berretty, K. Goldberg, L. Cheung, M. Overmars, G. Smith, and F. van der Stappen. Trap design for vibratory bowl feeders. 1999.

....parts. 1 Introduction The problem of parts feeder design is to design an environment that reduces the uncertainty in the state of a part (or set of parts) The feeder may rely solely on the geometry of specially designed fixtures interacting with a part on a conveyor belt or in a gravity field [3, 8, 2, 12] or specially designed motions of generic surfaces [1] or some combination of geometry, materials, and motion design. In all cases, the goal is to collapse the possible initial states of the part into a smaller set (ideally a singleton) We describe a simple planar parts feeder consisting of a ....

R.-P. Berretty, K. Goldberg, L. Cheung, M. Overmars, G. Smith, and F. van der Stappen. Trap design for vibratory bowl feeders. In IEEE International Conference on Robotics and Automation, 1999.

....Work 2.1 Parts Feeding and Orienting One of the most comprehensive works on the design of parts feeding and assembly design is [12] which describes vibratory bowls as well as non vibratory parts feeders in detail. The APOS parts feeding system is described by Hitakawa [26] Berretty et al. [6] present an algorithm for designing a particular class of gates in vibratory bowls. Berkowitz and Canny [4, 5] use dynamic simulation to design a sequence of gates for a vibratory bowl. The dynamics are simulated with Mirtich s impulse based dynamic simulator, Impulse [35] Christiansen et al. ....

Robert-Paul Berretty, Ken Goldberg, Lawrence Cheung, Mark H. Overmars, Gordon Smith, and A. Frank van der Stappen. Trap design for vibratory bowl feeders. In Proc. 1999 IEEE Intl. Conf. on Robotics and Automation, pages 2558--2563, Detroit, MI, May 1999.

....see in Section 5 that it is possible to compute whether a given part in a given orientation will safely move across a given trap. More importantly, we will see that it is possible to use the knowledge of the shape of the part to synthesize traps that allow the part to pass in only one orientation [9, 12, 13]. The first feeders to which thorough theoretical studies have been devoted were the parallel jaw gripper and pushing jaw. Goldberg [26] showed that these devices can be used for sensorless part feeding or orienting of two dimensional parts. He gave an algorithm for finding the shortest sequence ....

....part with n vertices, or report that no such balcony exists. Unfortunately, the design of the other feeders is considerably harder. A gap is an interruption of the trach that spans the entire width of the track. Its shape is determined by a single parameter, the gap length if. Our algorithm (see [9, 12, 13] for details) determines a choice for ff that allows P to pass in only one orientation. Theorem 9. In O(n 2 logn) time we can design a gap with the feeding property for a polygonal part with n vertices, or report that no such gap exists. The bound reduces to 0 (n ) if the part is convex. A ....

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R-P. Berretty, K. Y. Goldberg, L. Cheung, M. H. Overmars, G. Smith, and A. F. van der Stappen. Trap design for vibratory bowl feeders. In IEEE International Conference on Robotics and Automation (ICRA), pages 2558-2563, 1999.

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R.-P. Berretty, K. Goldberg, L. Cheung, M. Overmars, G. Smith, and A. Stappen. Trap Design for Vibratory Bowl Feeders. In IEEE International Conference on Robotics and Automation, Vol.4, p.2558-63, Detroit, MI, May 1999.

....times the number parameters of the trap. Hence, there is a constant c, such that the output of the algorithm of Basu is a quantifier free formula of size O( kn) c d O(k) and has constant degree polynomials. The algorithm uses O( kn) c d O(k) arithmetic operations. The 21 Figure 14: [9] Part on track and railing mounted on Model 5300A.1 (T 18) adjustable inline vibratory feeder from Automation Devices, Inc. Approximate length 18 inches. The traps were designed by our algorithm and cut with a milling machine. The feeder successfully feeds a stream of these parts. polynomials in ....

....have been shown to work with the aid of a physical inline vibratory feeder. The traps were designed by our algorithms and cut with a milling machine. The resulting feeder successfully feeds a stream of parts. See Figure 14 for a picture of the feeder. For more information on the experiments, see [9]. 22 6 Discussion In this paper, we have presented a geometric framework for the trap design problem, and reported algorithms for the analysis and design of various traps for polygonal parts moving across a feeder track. We are not aware of any previous algorithms for the systematic design of ....

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R-P. Berretty, K. Y. Goldberg, L. Cheung, M. H. Overmars, and A. F. van der G. Smith Stappen. Trap design for vibratory bowl feeders. In IEEE International Conference on Robotics and Automation (ICRA), pages 2558--2563, 1999.

....account O(m n) out of O(mn) points at a time. Therefore, we only store O(m n) points at the position of the center of mass, and maintain for each edge of the trap, the order of the present intersection points. This can for example be done, using a balanced binary search tree. Careful analysis [9] of the complexity of the modified algorithm leads to the following result. Theorem 3.1 Testing one orientation of a polygonal part against a polygonal trap can be accomplished in O( nm(n m) 1 ffl ) time. In the case of a convex part and a convex trap the problem can be solved more ....

....the boundary of the convex trap, and moreover, the changes to CH(s(q) can be computed in logarithmic time per event. Also, the number of events drops down to O(n m) For a thorough discussion of the analysis of convex traps with convex parts, we refer the reader to the full version of our work [9]. This leads to the following theorem. Theorem 3.3 Testing one orientation of a convex part against a convex trap can be accomplished in time O( n m) log(n m) 4 Designing Traps In this section we discuss how to design a trap such that the track satisfies the feeder property, i.e. only one ....

R.-P. Berretty, K. Goldberg, L. Cheung, M.H. Overmars, G. Smith, and A.F. van der Stappen. Trap design for vibratory bowl feeders. Technical report, Department of Computer Science, Utrecht University, 1999. To appear.

....class of filters as traps. We first give algorithms to decide if a polygonal part will be rejected by the trap. We then consider the problem of designing traps for a given part, and consider two rectilinear subclasses, gaps and balconies. Proofs of some theorems can be found in a technical report [5]. 2 Related Work Space does not permit an adequate review of research in part feeding. An excellent introduction to mechanical parts feeders can be found in Boothroyd s book [7] which describes vibratory bowl feeders in detail as well as nonvibratory feeders such as the magnetic and revolving ....

....the motion of the part, intersections between the part and the trap edges may appear and disappear. Also, intersection points move. Fortunately, in our case, there are only four types of events at which the combinatorial structure of the convex hull changes. Details are in the technical report [5]. The four events occur when (1) a vertex of P moves across an edge of R, introducing or deleting a vertex of CH(S R) 2) an edge of P moves across an vertex of R, introducing or deleting a vertex of CH(S R) 3) a vertex of P moves across an edge of R, changing the defining edges of a ....

[Article contains additional citation context not shown here]

R.-P. Berretty, K. Goldberg, L. Cheung, M.H. Overmars, G. Smith, and A.F. van der Stappen. Trap design for vibratory bowl feeders. Technical report, Department of Computer Science, Utrecht University, 1999. To appear.

No context found.

Berretty, R.-P., Goldberg, K., Cheung, L., Overmars, M. H., Smith, G., and van der Stappen, A. F. 1999. Trap design for vibratory bowl feeders. IEEE International Conference on Robotics and Automation, pp. 2558--2563, Detroit, MI, May.

No context found.

R.-P. Berretty, K. Goldberg, L. Cheung, G. Smith, and A. F. van der Stappen. Trap design for vibratory bowl feeders. In IEEE International Conference on Robotics and Automation, 1999.

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