Epj Manuscript No. Rolling Friction of a Hard Cylinder on a Viscous Plane
نویسندگان
چکیده
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 decreasing contact area and deformation of the surface.
منابع مشابه
Rolling friction of a hard cylinder on a viscous plane
The resistance against rolling of a rigid cylinder on a flat viscous surface is investigated. We found that the rolling-friction coefficient reveals strongly non-linear dependence on the cylinder’s velocity. For low velocity the rolling-friction coefficient rises with velocity due to increasing deformation rate of the surface. For larger velocity, however, it decreases with velocity according t...
متن کاملRolling friction and bistability of rolling motion
The rolling motion of a rigid cylinder on an inclined flat viscous surface is investigated and the nonlinear resistance force against rolling, FR(v), is derived. For small velocities FR(v) increases with velocity due to increasing deformation rate of the surface material. For larger velocity it decreases with velocity due to decreasing contact area between the rolling cylinder and the deformed ...
متن کاملRolling friction of a viscous sphere on a hard plane
– 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 ...
متن کاملRolling as a “ continuing collision ”
We show that two basic mechanical processes, the collision of particles and rolling motion of a sphere on a plane, are intimately related. According to our recent findings, the restitution coefficient for colliding spherical particles ǫ, which characterizes the energy loss upon collision, is directly related to the rolling friction coefficient μroll for a viscous sphere on a hard plane. We quan...
متن کاملRolling 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...
متن کامل