The Motion of a Rolling Polygon

[+] Author and Article Information
E. M. Beunder, P. C. Rem

Delft University of Technology, Mijnbouwstraat 120, 2628 RX Delft, The Netherlands

J. Appl. Mech 70(2), 275-280 (Mar 27, 2003) (6 pages) doi:10.1115/1.1481893 History: Received December 12, 1999; Revised December 21, 2001; Online March 27, 2003
Copyright © 2003 by ASME
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Grahic Jump Location
Relation between values of ϕ in subsequent collisions for n=6 and Ω/cos θ=2 (top) and Ω/cos θ=4 (bottom)
Grahic Jump Location
θ=40 deg, μ=0.5,n=100 (top), n=20 (middle), n=10 (bottom) with the dotted line the macroscopic model and the continuous line the numerical calculations. The top and bottom line represent, respectively, perfectly rolling and perfectly sliding
Grahic Jump Location
Effect of the friction coefficient. θ=40 deg,n=20. From top to bottom: μ=0.1,μ=0.4, and μ=0.7, with the dotted line the macroscopic model and the continuous line the numerical calculations.
Grahic Jump Location
Effect of the slope. μ=0.5, n=20. From top to bottom θ=80 deg,θ=50 deg, and θ=20 deg, with the dotted line the macroscopic model and the continuous line the numerical calculations.




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