In this work a mathematical model of the motion of a cylinder moving on a plane is deduced using screw theory. The linear Coulomb friction equations are applicable for the maximum static and kinetic friction forces. In the case of the rolling motion of a cylinder, the friction forces are not necessarily maxima. This paper describes the dynamic states of motion of a cylindrical part moving in three separate scenarios by the Euler dual equation. The first scenario is when the cylinder is moving on a horizontal static plane due to an external harmonic force proportional to the mass of the part. For this case, the sliding conditions are expressed as a function of the vibration parameters and generalized based on a harmonic dimensionless variable. The second and third scenarios are when the cylinder is moving by translational displacements on a horizontal and inclined plane.
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ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control
October 31–November 2, 2011
Arlington, Virginia, USA
Conference Sponsors:
- Dynamic Systems and Control Division
ISBN:
978-0-7918-5476-1
PROCEEDINGS PAPER
Screw Theory Applied to a Rigid Cylinder Moving on a Plane
James Di´az-Gonza´lez,
James Di´az-Gonza´lez
BMT Designers and Planner Inc., Arlington, VA
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Lourdes Rosario
Lourdes Rosario
University of Puerto Rico at Mayagu¨ez, Mayagu¨ez, Puerto Rico
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James Di´az-Gonza´lez
BMT Designers and Planner Inc., Arlington, VA
Lourdes Rosario
University of Puerto Rico at Mayagu¨ez, Mayagu¨ez, Puerto Rico
Paper No:
DSCC2011-5908, pp. 49-56; 8 pages
Published Online:
May 5, 2012
Citation
Di´az-Gonza´lez, J, & Rosario, L. "Screw Theory Applied to a Rigid Cylinder Moving on a Plane." Proceedings of the ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control. ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control, Volume 2. Arlington, Virginia, USA. October 31–November 2, 2011. pp. 49-56. ASME. https://doi.org/10.1115/DSCC2011-5908
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