Dynamics of vibratory bowl feeders

Jon Selig

doi:10.1109/ROBOT.2005.1570617

Dynamics of vibratory bowl feeders

Jon Selig

Research output: Contribution to conference › Paper › peer-review

11 Citations (Scopus)

Abstract

In this work we construct a simple dynamical model for vibratory bowl feeders. The symmetrical arrangement of the springs supporting the bowl allow us to predict a simple structure for the stiffness matrix of the system. The cylindrical symmetry of the bowl itself then means that the linearized rigid body dynamics of the system can be simplified to a 2-dimensional system. The solutions to this system are elliptical motions of the bowl, vibrating about the symmetry axis and along it at the same time. We are able to find a condition for the system to be at resonance. There is some debate about how the parts move up the helical track inside the bowl. We are able to show that one alternative, a "slip-stick" motion, is unlikely. ©2005 IEEE.

Original language	English
Pages	3288 - 3293
DOIs	https://doi.org/10.1109/ROBOT.2005.1570617
Publication status	Published - 1 Dec 2005
Externally published	Yes
Event	Proceedings of the 2005 IEEE International Conference on Robotics and Automation April 2005 - Duration: 12 Jan 2005 → …

Conference

Conference	Proceedings of the 2005 IEEE International Conference on Robotics and Automation April 2005
Period	12/01/05 → …

Access to Document

10.1109/ROBOT.2005.1570617Licence: CC BY-NC-ND 4.0

Cite this

@conference{1fa4588ce5d14605b244a038c77ac490,

title = "Dynamics of vibratory bowl feeders",

abstract = "In this work we construct a simple dynamical model for vibratory bowl feeders. The symmetrical arrangement of the springs supporting the bowl allow us to predict a simple structure for the stiffness matrix of the system. The cylindrical symmetry of the bowl itself then means that the linearized rigid body dynamics of the system can be simplified to a 2-dimensional system. The solutions to this system are elliptical motions of the bowl, vibrating about the symmetry axis and along it at the same time. We are able to find a condition for the system to be at resonance. There is some debate about how the parts move up the helical track inside the bowl. We are able to show that one alternative, a {"}slip-stick{"} motion, is unlikely. {\textcopyright}2005 IEEE.",

author = "Jon Selig",

year = "2005",

month = dec,

day = "1",

doi = "10.1109/ROBOT.2005.1570617",

language = "English",

pages = "3288 -- 3293",

note = "Proceedings of the 2005 IEEE International Conference on Robotics and Automation April 2005 ; Conference date: 12-01-2005",

}

TY - CONF

T1 - Dynamics of vibratory bowl feeders

AU - Selig, Jon

PY - 2005/12/1

Y1 - 2005/12/1

N2 - In this work we construct a simple dynamical model for vibratory bowl feeders. The symmetrical arrangement of the springs supporting the bowl allow us to predict a simple structure for the stiffness matrix of the system. The cylindrical symmetry of the bowl itself then means that the linearized rigid body dynamics of the system can be simplified to a 2-dimensional system. The solutions to this system are elliptical motions of the bowl, vibrating about the symmetry axis and along it at the same time. We are able to find a condition for the system to be at resonance. There is some debate about how the parts move up the helical track inside the bowl. We are able to show that one alternative, a "slip-stick" motion, is unlikely. ©2005 IEEE.

AB - In this work we construct a simple dynamical model for vibratory bowl feeders. The symmetrical arrangement of the springs supporting the bowl allow us to predict a simple structure for the stiffness matrix of the system. The cylindrical symmetry of the bowl itself then means that the linearized rigid body dynamics of the system can be simplified to a 2-dimensional system. The solutions to this system are elliptical motions of the bowl, vibrating about the symmetry axis and along it at the same time. We are able to find a condition for the system to be at resonance. There is some debate about how the parts move up the helical track inside the bowl. We are able to show that one alternative, a "slip-stick" motion, is unlikely. ©2005 IEEE.

U2 - 10.1109/ROBOT.2005.1570617

DO - 10.1109/ROBOT.2005.1570617

M3 - Paper

SP - 3288

EP - 3293

T2 - Proceedings of the 2005 IEEE International Conference on Robotics and Automation April 2005

Y2 - 12 January 2005

ER -

Dynamics of vibratory bowl feeders

Abstract

Conference

Access to Document

Other files and links

Fingerprint

Cite this