Rolling friction for hard cylinder and sphere on viscoelastic solid

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Rolling friction for hard cylinder and sphere on viscoelastic solid.

We calculate the friction force acting on a hard cylinder or spherical ball rolling on a flat surface of a viscoelastic solid. The rolling-friction coefficient depends non-linearly on the normal load and the rolling velocity. For a cylinder rolling on a viscoelastic solid characterized by a single relaxation time Hunter has obtained an exact result for the rolling friction, and our result is in...

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– A first-principle continuum-mechanics expression for the rolling friction coefficient is obtained for the rolling motion of a viscoelastic sphere on a hard plane. It relates the friction coefficient to the viscous and elastic constants of the sphere material. The relation obtained refers to the case when the deformation of the sphere ξ is small, the velocity of the sphere V is much less than ...

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The resistance against rolling of a rigid cylinder on a at viscous surface is investigated. We found that the rolling-friction coeecient reveals strongly non-linear dependence on the cylinder's velocity. For low velocity the rolling-friction coeecient rises with velocity due to increasing deformation rate of the surface. For larger velocity, however, it decreases with velocity according to decr...

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Cylinder Rolling on Another Rolling Cylinder

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ژورنال

عنوان ژورنال: The European Physical Journal E

سال: 2010

ISSN: 1292-8941,1292-895X

DOI: 10.1140/epje/i2010-10678-y