Manipulation with vibratory velocity fields on a tilted plate

Thomas H. Vose*, Paul Umbanhowar, Kevin M Lynch

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

We examine the dynamics of point parts in frictional contact with a periodically vibrating, flat, rigid plate that is nominally tilted with respect to horizontal. If the friction law satisfies the maximum power inequality, then part dynamics on the tilted plate are equivalent to part dynamics on a horizontal plate with a different friction law that also satisfies the maximum power inequality. For small angles of tilt, this equivalence means that every periodic plate motion induces a position-dependent velocity field through which parts slide. Assuming Coulomb friction, some of the fields obtainable with a tilted plate are impossible to generate with a horizontal plate; other fields that require complicated motions on a horizontal plate can be generated with simpler motions on a tilted plate.

Original languageEnglish (US)
Title of host publication2012 IEEE International Conference on Automation Science and Engineering
Subtitle of host publicationGreen Automation Toward a Sustainable Society, CASE 2012
Pages942-949
Number of pages8
DOIs
StatePublished - Dec 1 2012
Event2012 IEEE International Conference on Automation Science and Engineering: Green Automation Toward a Sustainable Society, CASE 2012 - Seoul, Korea, Republic of
Duration: Aug 20 2012Aug 24 2012

Other

Other2012 IEEE International Conference on Automation Science and Engineering: Green Automation Toward a Sustainable Society, CASE 2012
CountryKorea, Republic of
CitySeoul
Period8/20/128/24/12

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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