0
TECHNICAL PAPERS

The Pseudo-Rigid Rolling Coin

[+] Author and Article Information
Marcelo Epstein

Department of Mechanical and Manufacturing Engineering, The University of Calgary, Calgary, Alberta T2N 1N4, Canadaepstein@enme.ucalgary.ca

R. Ivan Defaz

Department of Mechanical and Manufacturing Engineering, The University of Calgary, Calgary, Alberta T2N 1N4, Canadardefaz@yahoo.com

J. Appl. Mech 72(5), 695-704 (Dec 21, 2004) (10 pages) doi:10.1115/1.1979515 History: Received July 07, 2004; Revised December 21, 2004

A pseudo-rigid coin is a thin disk that can deform only to the extent of undergoing an arbitrary affine deformation in its own plane. The coupling of the classical rolling problem with this deformability, albeit limited, may shed light on such phenomena as the production of noise by a twirling dish. From the point of view of analytical dynamics, one of the interesting features of this problem is that the rolling constraint turns out to be nonholonomic even in the case of motion on a straight line in a vertical plane. After the analytical formulation of the general problem, explicit solutions are obtained for special shape-preserving motions. For more general motions, numerical studies are carried out for various initial conditions.

FIGURES IN THIS ARTICLE
<>
Copyright © 2005 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 3

Centroid height (a), eccentricity (b) and trajectory of point of contact (c), for g̃=0.045

Grahic Jump Location
Figure 4

Centroid height (a), eccentricity (b) and trajectory of point of contact (c), for g̃=0.055

Grahic Jump Location
Figure 5

Trajectory of point of contact for various values of g̃

Grahic Jump Location
Figure 1

Geometry and deformation

Grahic Jump Location
Figure 2

Centroid height (a), eccentricity (b) and trajectory of point of contact (c), for g̃=0.05008

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In