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Mathematical and Computer Modelling of Dynamical Systems
Methods, Tools and Applications in Engineering and Related Sciences
Volume 12, 2006 - Issue 6
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Original Articles

Modelling and simulation of a sphere rolling on the inside of a rough vertical cylinder

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Pages 543-553 | Published online: 22 Dec 2006

Figures & data

Figure 1 Sphere rolling on the inside of a vertical cylinder.

Figure 1 Sphere rolling on the inside of a vertical cylinder.

Figure 2 View from above on the sphere moving inside a cylinder.

Figure 2 View from above on the sphere moving inside a cylinder.

Figure 3 Selected results of numerical simulation (no rolling resistance).

Figure 3 Selected results of numerical simulation (no rolling resistance).

Figure 4 Influence of V 0: (a) V 0 = 2 m/s; (b) V 0 = 4 m/s; (c) V 0 = 6 m/s.

Figure 4 Influence of V 0: (a) V 0 = 2 m/s; (b) V 0 = 4 m/s; (c) V 0 = 6 m/s.

Figure 5 Selected results of numerical simulation (rolling resistance involved).

Figure 5 Selected results of numerical simulation (rolling resistance involved).

Figure 6 Required coefficient of friction: (a) no rolling resistance; (b) rolling resistance f = 0.02a.

Figure 6 Required coefficient of friction: (a) no rolling resistance; (b) rolling resistance f = 0.02a.

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