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1

Silversides, Richard, Jian S. Dai, and Lakmal Seneviratne. "Force Analysis of a Vibratory Bowl Feeder for Automatic Assembly." Journal of Mechanical Design 127, no. 4 (August 27, 2004): 637–45. http://dx.doi.org/10.1115/1.1897407.

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This paper investigates the vibratory bowl feeder for automatic assembly, presents a geometric model of the feeder, and develops force analysis, leading to dynamical modeling of the vibratory feeder. Based on the leaf-spring modeling of the three legs of the symmetrically arranged bowl of the feeder, and equating the vibratory feeder to a three-legged parallel mechanism, the paper reveals the geometric property of the feeder. The effects of the leaf-spring legs are transformed to forces and moments acting on the base and bowl of the feeder. Resultant forces are obtained based upon the coordinate transformation, and the moment analysis is produced based upon the orthogonality of the orientation matrix. This reveals the characteristics of the feeder, that the resultant force is along the z-axis and the resultant moment is about the z direction and further generates the closed-form motion equation. The analysis presents a dynamic model that integrates the angular displacement of the bowl with the displacement of the leaf-spring legs. Both Newtonian and Lagrangian approaches are used to verify the model, and an industrial case-based simulation is used to demonstrate the results.
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2

Morrey, D., and J. E. Mottershead. "Modelling of Vibratory Bowl Feeders." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 200, no. 6 (November 1986): 431–37. http://dx.doi.org/10.1243/pime_proc_1986_200_152_02.

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The modelling of vibratory bowl feed systems can be considered in two parts, namely the simulation of (a) the bowl feeder structure vibrations and (b) the behaviour of the components under feed conditions. This paper deals with the former problem using a lumped parameter approach, whereby a rigid bowl and rigid base are separated by three banks of flexible leaf springs. Natural frequencies and mode shapes computed from the model are compared with those obtained by experimental modal analysis of a parts feeder. The model can be easily implemented on a digital computer using standard NAG routines for matrix manipulation and computation of eigenvalues and eigenvectors.
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3

Kochan, Anna. "NEW ALTERNATIVES TO THE VIBRATORY BOWL FEEDER." Assembly Automation 11, no. 4 (April 1991): 14–16. http://dx.doi.org/10.1108/eb004347.

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4

Han, Liang, Jia Li, and Lei Xiang Zhang. "Design and Study on the Automatic Extrusion Device for Curved Chassis of Vibratory Feeder." Applied Mechanics and Materials 198-199 (September 2012): 1298–301. http://dx.doi.org/10.4028/www.scientific.net/amm.198-199.1298.

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Vibratory feeder is a device which is used to arrange small workpieces in neat rows and convey them from one place to another by vibratory feeding. It has been playing a key role in automation production. According to manufacturing equipments for the chassis of vibratory bowl feeder, this paper makes studies mainly in the followings: (1) introduces the principle of the vibratory feeder briefly, (2) the mechanical structure of the automatic extrusion device for curved chassis of vibratory feeder is designed, including frame, moulds and guiding mechanism, (3) static analysis, mould stress analysis are done by using the finite software ANSYS, (4) based on the electro-hydraulic proportional control technology, a hydraulic system is designed, (5) a control system based on STC89C52RC MCU(Micro Control Unit) is given. The problems of automatic extrusion for the curved chassis of vibratory feeder are successfully solved through the theoretical and experimental studies, which achieves the expected design goals and fills in a gap in this field in China, which brings great economic and social potential benefits and has wide application prospect.
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5

Jindal, Ujjwal, Shrey Jain, Piyush, and Pradeep Khanna. "MATHEMATICAL ANALYSIS OF VIBRATORY BOWL FEEDER FOR CLIP SHAPED COMPONENTS." Journal of Production Engineering 20, no. 1 (June 2017): 122–26. http://dx.doi.org/10.24867/jpe-2017-01-122.

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6

Narang, Daksh, Ayush Raj, and Pradeep Khanna. "MATHEMATICAL MODELLING OF A VIBRATORY BOWL FEEDER FOR SPHERICAL WASHER." Journal of Production Engineering 20, no. 2 (December 2017): 79–84. http://dx.doi.org/10.24867/jpe-2017-02-079.

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7

Maul, Gary P., and M. Brian Thomas. "A systems model and simulation of the vibratory bowl feeder." Journal of Manufacturing Systems 16, no. 5 (January 1997): 309–14. http://dx.doi.org/10.1016/s0278-6125(97)88461-0.

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8

Jiang, M. H., Patrick S. K. Chua, and F. L. Tan. "Simulation software for parts feeding in a vibratory bowl feeder." International Journal of Production Research 41, no. 9 (January 2003): 2037–55. http://dx.doi.org/10.1080/0020754031000123895.

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9

Nam, Le Giang, Nguyen Van Mui, and Dang Anh Tu. "A METHOD TO DESIGN VIBRATORY BOWL FEEDER BY USING FEM MODAL ANALYSIS." Vietnam Journal of Science and Technology 57, no. 1 (February 18, 2019): 102. http://dx.doi.org/10.15625/2525-2518/57/1/12859.

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This paper presented a digital simulation study, using the finite element method with modal analysis on the ANSYS Workbench platform, to determine the fundamental frequencies of the mechanical system and to affirm the design and manufacture parameters of the vibratory bowl feeders. Then an experiment was conducted to verify the results. The results suggest that the simulation model can be used to identify parameters of the bowl’s structure before the device is manufactured.
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10

Vilán Vilán, J. A., A. Segade Robleda, P. J. García Nieto, and C. Casqueiro Placer. "Approximation to the dynamics of transported parts in a vibratory bowl feeder." Mechanism and Machine Theory 44, no. 12 (December 2009): 2217–35. http://dx.doi.org/10.1016/j.mechmachtheory.2009.07.004.

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11

TOWNEND, M. STEWART, and ROBERT N. HARRISON. "Mathematics in the Manufacturing Industry— a Study of the Vibratory Bowl Feeder." Teaching Mathematics and its Applications 8, no. 2 (1989): 77–81. http://dx.doi.org/10.1093/teamat/8.2.77.

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12

., Shaine Ansari. "GRAPHICAL ANALYSIS OF PERFORMANCE OF A VIBRATORY BOWL FEEDER FOR FEEDING BUTTONS." International Journal of Research in Engineering and Technology 07, no. 07 (July 25, 2018): 175–79. http://dx.doi.org/10.15623/ijret.2018.0707023.

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13

Choudhary, Manas, Rishabh Narang, and Pradeep Khanna. "MATHEMATICAL ANALYSIS OF PERFORMANCE OF A VIBRATORY BOWL FEEDER FOR FEEDING BOTTLE CAPS." Journal of Production Engineering 21, no. 2 (December 2018): 55–59. http://dx.doi.org/10.24867/jpe-2018-02-055.

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14

., Manas Choudhary. "GRAPHICAL ANALYSIS OF PERFORMANCE OF A VIBRATORY BOWL FEEDER FOR FEEDING BOTTLE CAPS." International Journal of Research in Engineering and Technology 07, no. 08 (August 25, 2018): 105–8. http://dx.doi.org/10.15623/ijret.2018.0708013.

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15

NGOI, B. K. A., L. E. N. LIM, and W. L. GOH. "ANALYZING THE NATURAL RESTING ASPECTS OF PLASTIC PARTS IN A VIBRATORY BOWL FEEDER." Journal of Electronics Manufacturing 07, no. 03 (September 1997): 181–85. http://dx.doi.org/10.1142/s096031319700018x.

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16

SIM, S. K., PATRICK S. K. CHUA, M. L. TAY, and YUN GAO. "Recognition of features of parts subjected to motion using ARTMAP incorporated in a flexible vibratory bowl feeder system." Artificial Intelligence for Engineering Design, Analysis and Manufacturing 20, no. 1 (February 2006): 19–34. http://dx.doi.org/10.1017/s0890060406060021.

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The recognition and identification of parts are important processes in modern manufacturing systems. Although machine vision systems have played an important role in these tasks, there are still challenges in performing these tasks in which parts may be in motion and subjected to noise. Using a flexible vibratory bowl feeder system as a test bed to simulate motion of parts subjected to noise, scanned signatures of part features are acquired using fiber optic sensors and a data acquisition system. Because neural networks have been shown to exhibit good pattern recognition capability, ARTMAP, a neural network that learns patterns under supervision, was incorporated into the feeder system. The pattern recognition capability of the feeder system is dependent on a set of parameters that characterized ARTMAP, the sampling rate of the data acquisition system, and the mean speed of the vibrating parts. The parameters that characterized ARTMAP are the size of an input vector, the vigilance, threshold value of the nonlinear noise suppression function, and the learning rate. Through extensive training and testing of the ARTMAP within the feeder system, it was shown that high success rates of recognition of parts features in motion under noisy conditions can be obtained provided these parameters of ARTMAP are appropriately selected.
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17

Sim, S. K., Patrick S. K. Chua, M. L. Tay, and Gao Yun. "Incorporating pattern recognition capability in a flexible vibratory bowl feeder using a neural network." International Journal of Production Research 41, no. 6 (January 2003): 1217–37. http://dx.doi.org/10.1080/0020754021000043688.

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18

Goemans, Onno C., and A. Frank van der Stappen. "On the design of traps for feeding 3D parts on vibratory tracks." Robotica 26, no. 4 (July 2008): 537–50. http://dx.doi.org/10.1017/s0263574707004079.

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SUMMARYIn the context of automated feeding (orienting) of industrial parts, we study the algorithmic design of traps in the bowl feeder track that filter out all but one orientation of a given polyhedral part. We propose a new class of traps that removes a V-shaped portion of the track. The proposed work advances the state-of-the-art in algorithmic trap design by extending earlier work1,6,17—which focuses solely on 2D parts—to 3D parts, and by incorporating a more realistic part motion model in the design algorithm. We exploit the geometric structure of the design problem and build on concepts and techniques from computational geometry to obtain an efficient algorithm that reports the complete set of valid traps.
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19

Brokowski, M., M. Peshkin, and K. Goldberg. "Optimal Curved Fences for Part Alignment on a Belt." Journal of Mechanical Design 117, no. 1 (March 1, 1995): 27–35. http://dx.doi.org/10.1115/1.2826112.

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In automated packing or assembly it is often necessary to bring randomly oriented parts into uniform alignment. Mechanical methods such as vibratory bowl feeders are often used for this purpose, although there is no theory for the systematic design of such feeders. A slanted “fence” attached to the stationary sides of a conveyor belt is also capable of orienting a stream of parts and a sequence of such fences has been shown [17] to function as a systematically designable linear parts feeder. A limitation of fence alignment is that once a part has left contact with a fence, its final orientation is confined to a narrow range of angles but is not unique. Here we consider the design of a single fence, consisting of a straight slanted section followed by an optimal curved tail. The straight section selectivity aligns certain edges of the part, while the curved tail preserves this alignment precisely as the part leaves contact with the fence. We have found the shortest tail which guarantees alignment. Optimal curved fences may be used individually for alignment of parts on a conveyor belt. They also lend themselves to systematic design of multi-fence linear parts feeders [8], [17].
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20

Ngoi, B. K. A., L. E. N. Lim, and J. T. Ee. "Analysis of natural resting aspects of parts in a vibratory bowl feeder ? Validation of ?drop test?" International Journal of Advanced Manufacturing Technology 13, no. 4 (April 1997): 300–310. http://dx.doi.org/10.1007/bf01179612.

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21

Tiwari, Ishika, Laksha, and Pradeep Khanna. "DEVELOPMENT OF A MATHEMATICAL MODEL TO PREDICT THE PERFORMANCE OF A VIBRATORY BOWL FEEDER FOR HEADED COMPONENTS." Journal of Production Engineering 21, no. 2 (December 2018): 60–64. http://dx.doi.org/10.24867/jpe-2018-02-060.

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22

LIM, L. E. N., B. K. A. NGOI, S. S. G. LEE, S. W. LYE, and P. S. TAN. "A computer-aided framework for the selection and sequencing of orientating devices for the vibratory bowl feeder." International Journal of Production Research 32, no. 11 (November 1994): 2513–24. http://dx.doi.org/10.1080/00207549408957081.

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23

Najmi, Sayedemadodin, Amir Hossein Karimi, Mohammad Shadmani, and Saeed Ziaei-Rad. "A new three-dimensional dynamic model and experimental validation for motion of a part in a vibratory bowl feeder." Mechanism and Machine Theory 143 (January 2020): 103621. http://dx.doi.org/10.1016/j.mechmachtheory.2019.103621.

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24

Jain, Anshika, Prachi Bansal, and Pradeep Khanna. "DEVELOPMENT OF A MATHEMATICAL MODEL TO PREDICT THE EFFECT OF INPUT PARAMETERS ON TABLET FEEDING RATE OF A VIBRATORY BOWL FEEDER." Journal of Production Engineering 22, no. 1 (June 2019): 47–51. http://dx.doi.org/10.24867/jpe-2019-01-047.

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25

Berretty, Robert-Paul, Ken Goldberg, Mark H. Overmars, and A. Frank van der Stappen. "Trap Design for Vibratory Bowl Feeders." International Journal of Robotics Research 20, no. 11 (November 2001): 891–908. http://dx.doi.org/10.1177/02783640122068173.

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26

Schroer, Bernard J. "Electronic parts presentation using vibratory bowl feeders." Robotics 3, no. 3-4 (September 1987): 409–19. http://dx.doi.org/10.1016/0167-8493(87)90057-x.

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27

HAN, I., and Y. LEE. "CHAOTIC DYNAMICS OF REPEATED IMPACTS IN VIBRATORY BOWL FEEDERS." Journal of Sound and Vibration 249, no. 3 (January 2002): 529–41. http://dx.doi.org/10.1006/jsvi.2001.3874.

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28

Mucchi, Emiliano, Raffaele Di Gregorio, and Giorgio Dalpiaz. "Elastodynamic analysis of vibratory bowl feeders: Modeling and experimental validation." Mechanism and Machine Theory 60 (February 2013): 60–72. http://dx.doi.org/10.1016/j.mechmachtheory.2012.09.009.

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29

OU-YANG, C., and G. P. MAUL. "A computer analysis of orientation devices for vibratory bowl feeders." International Journal of Production Research 31, no. 3 (March 1993): 555–78. http://dx.doi.org/10.1080/00207549308956744.

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30

Chua, P. S. K., and M. L. Tay. "Modelling the Natural Resting Aspect of Small Regular Shaped Parts." Journal of Manufacturing Science and Engineering 120, no. 3 (August 1, 1998): 540–46. http://dx.doi.org/10.1115/1.2830157.

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This paper presents a mathematical model for predicting the natural resting aspect of parts of regular shapes but of different sizes based on stability considerations. The objective of this model is to facilitate the design of effective and efficient orientating devices for vibratory bowl feeders. The results from the mathematical modelling were compared with the theoretical models and experimental results of other investigators. Good agreement was obtained.
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31

Oh, Seok-Gyu, and Kang-Yul Bae. "Analysis of Excitation Force and its Application in Vibratory Bowl Feeders." Korean Society of Manufacturing Process Engineers 19, no. 11 (November 30, 2020): 70–77. http://dx.doi.org/10.14775/ksmpe.2020.19.11.070.

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32

Stocker, Cosima, Marc Schmid, and Gunther Reinhart. "Reinforcement learning–based design of orienting devices for vibratory bowl feeders." International Journal of Advanced Manufacturing Technology 105, no. 9 (May 10, 2019): 3631–42. http://dx.doi.org/10.1007/s00170-019-03798-9.

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33

Maul, Gary P., and Nebojsa I. Jaksic. "Sensor-based solution to contiguous and overlapping parts in vibratory bowl feeders." Journal of Manufacturing Systems 13, no. 3 (January 1994): 190–95. http://dx.doi.org/10.1016/0278-6125(94)90004-3.

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34

Stocker, Cosima, and Gunther Reinhart. "Sensitivity Analysis of the Dynamic Behavior of Transported Material in Vibratory Bowl Feeders Using Physics Simulation." Applied Mechanics and Materials 840 (June 2016): 107–13. http://dx.doi.org/10.4028/www.scientific.net/amm.840.107.

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Vibratory bowl feeders (VBF) are the most frequently used systems for automated sortingand feeding of bulk material. The current development process is time-consuming andexpensive, as it is done exclusively manually. Therefore, a method for physics simulationof VBF has been developed at the iwb which allows the shape optimization of predefinedorienting devices. On this basis, the presented paper introduces a physics simulationbased sensitivity analysis of the behavior of transported parts related to the topology ofthe orienting devices inside the VBF. These results provide a basis for the future developmentof an algorithm for the fully automated generation of orienting devices based on topology optimization.
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35

Ding, Xilun, and Jian S. Dai. "Characteristic Equation-Based Dynamics Analysis of Vibratory Bowl Feeders With Three Spatial Compliant Legs." IEEE Transactions on Automation Science and Engineering 5, no. 1 (January 2008): 164–75. http://dx.doi.org/10.1109/tase.2007.910301.

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36

Ashrafizadeh, H., and S. Ziaei-Rad. "A numerical 2D simulation of part motion in vibratory bowl feeders by discrete element method." Journal of Sound and Vibration 332, no. 13 (June 2013): 3303–14. http://dx.doi.org/10.1016/j.jsv.2013.01.020.

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37

Stocker, C., and G. Reinhart. "Sensitivitätsanalyse des Fördergutverhaltens*/Sensitivity analysis of transported material – Physics simulation based analysis of bulk material related to the topology of vibratory bowl feeders." wt Werkstattstechnik online 105, no. 09 (2015): 622–26. http://dx.doi.org/10.37544/1436-4980-2015-09-64.

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Vibrationswendelförderer (VWF) sind die meistverwendeten Systeme zur automatisierten Vereinzelung und Zuführung von Schüttgut. Zur Verbesserung der derzeit manuellen Entwicklung, werden Methoden zur Simulation von VWF erforscht. Der Fachartikel stellt eine physiksimulationsbasierte Sensitivitätsanalyse des Förderguts bezüglich der Topologie im VWF vor. Die Ergebnisse dieser Analyse dienen als Basis für die Entwicklung eines Verfahrens zur automatischen Generierung von Ordnungsschikanen.   Vibratory bowl feeders (VBF) are the most frequently used systems for automated sorting and feeding of bulk material. To improve the current manual development process, methods for simulation of VBF are researched. The presented paper introduces a physics simulation based sensitivity analysis of the behavior of transported parts related to the topology of the VBF. These results provide a basis for the future development of an algorithm for the automated generation of orienting devices.
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38

Jaksic, Nebojsa I., and Gary P. Maul. "Development of a model for part reorientation in vibratory bowl feeders with active air jet tooling." Robotics and Computer-Integrated Manufacturing 17, no. 1-2 (February 2001): 145–49. http://dx.doi.org/10.1016/s0736-5845(00)00048-x.

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39

"A systems model and simulation of the vibratory bowl feeder." Journal of Manufacturing Systems 16, no. 6 (January 1997): 460. http://dx.doi.org/10.1016/s0278-6125(97)81725-6.

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40

Hofmann, Daniel, Hongrong Huang, and Gunther Reinhart. "Automated Shape Optimization of Orienting Devices for Vibratory Bowl Feeders." Journal of Manufacturing Science and Engineering 135, no. 5 (September 16, 2013). http://dx.doi.org/10.1115/1.4025089.

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Orienting devices for vibratory bowl feeders are still the most widely used system for the automated sorting and feeding of small parts. The design process of these orienting devices has recently been supported by simulation methods. However, this merely shifts the well-known trial-and-error-based adaption of the orienting device's geometry into virtual world. Yet, this does not provide optimal design and, furthermore, requires strong involvement of the developer due to manual shape variation. This paper proposes an optimization algorithm for the automated simulation-based shape optimization of orienting devices for vibratory bowl feeders. First, general formalisms to state the multiobjective optimization problem for arbitrary types of orienting devices and feeding parts are provided. Then, the implementation of the algorithm is described based on Bullet Physics Engine and random search optimization technique. Finally, comparison of simulation results with experimental data point out good accuracy and, thus, great potential of the developed shape optimization software.
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41

"Sensor-based solution to contiguous and overlapping parts in vibratory bowl feeders." Journal of Manufacturing Systems 13, no. 6 (January 1994): 452. http://dx.doi.org/10.1016/0278-6125(94)90144-9.

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