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Potential well escape of an eccentric disk

Publication ,  Journal Article
Lipp, GM; Mann, BP
Published in: ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
December 1, 2012

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.

Duke Scholars

Published In

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

DOI

Publication Date

December 1, 2012

Volume

4

Issue

PARTS A AND B

Start / End Page

871 / 878
 

Citation

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Chicago
ICMJE
MLA
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Lipp, G. M., & Mann, B. P. (2012). Potential well escape of an eccentric disk. ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), 4(PARTS A AND B), 871–878. https://doi.org/10.1115/IMECE2012-85880
Lipp, G. M., and B. P. Mann. “Potential well escape of an eccentric disk.” ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE) 4, no. PARTS A AND B (December 1, 2012): 871–78. https://doi.org/10.1115/IMECE2012-85880.
Lipp GM, Mann BP. Potential well escape of an eccentric disk. ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE). 2012 Dec 1;4(PARTS A AND B):871–8.
Lipp, G. M., and B. P. Mann. “Potential well escape of an eccentric disk.” ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), vol. 4, no. PARTS A AND B, Dec. 2012, pp. 871–78. Scopus, doi:10.1115/IMECE2012-85880.
Lipp GM, Mann BP. Potential well escape of an eccentric disk. ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE). 2012 Dec 1;4(PARTS A AND B):871–878.

Published In

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

DOI

Publication Date

December 1, 2012

Volume

4

Issue

PARTS A AND B

Start / End Page

871 / 878