ANZIAM J.
46 (2004), 249-264
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Rolling of a rigid ball on a horizontal deformable surface
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Maurice N. Brearley
85 Dandarriga Drive
Clifton Springs
VIC 3222
Australia
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Abstract
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The rolling of a ball on a horizontal deformable
surface was investigated under the assumptions
that the ball was a rigid sphere and the surface
was elastic. Finite strain theory was used to
develop theoretical results which were found to
match observations well in cases where the ball
and surface involved were such as to ensure no
slipping at the region of contact, including a
lawn bowl rolling on a grass rink and a billiard
ball rolling on carpet. The theory did not match
well the behaviour of a golf ball on a grass
green because the ball was too light to enforce
the no-slipping condition.
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