Potential well escape of an eccentric disk

This paper investigates the dynamic behavior of an eccentric disk rolling on a curve of arbitrary shape and then on a curve defined as a cubic function. Comparisons are made to a disk with no eccentricity and the related point mass approximation. The curve is subject to base excitation, and the system is considered from the perspective of a potential well problem where escape is possible on one side. The equations of motion are derived using a roll-without-slip constraint, and the behavior is investigated by means of simulated frequency and amplitude parameter sweeps and by considering the basins of attraction when initial conditions or forcing parameters are varied. Copyright © 2012 by ASME.

Full Text

Duke Authors

Cited Authors

  • Lipp, GM; Mann, BP

Published Date

  • 2012

Published In

  • ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)

Volume / Issue

  • 4 / PARTS A AND B

Start / End Page

  • 871 - 878

Digital Object Identifier (DOI)

  • 10.1115/IMECE2012-85880

Language

  • eng

Citation Source

  • Scopus