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RADIAL DYNAMICS OF RIGID FRICTION DISKS WITH ALTERNATING STICKING AND SLIDING

Alexander Fidlin
Many technical systems include rotating friction disks. Assuming pure sticking
or sliding in the contact is sometimes not satisfactory to render
a precise system dynamics model.
Here the plane motions of a simple pin-on-a-disk system and two rigid disks
rotating and contacting each other are examined. A numerical study is executed which
covers both sticking and sliding states of the frictional contact interface.
The static indeterminacy of multiple contacts between rigid bodies during
sticking is circumvented by means of an elasto-visco-plastic regularization approach.
Sliding is regarded as plastic deformation of an infinitesimal thick layer
between the two disks.
For higher rotational speeds a limit cycle with intermittent phases of
sticking and sliding is observed. Special attention is drawn to the
transitions between this limit cycle and a pure sticking solution.
The transition is identified as sensitive to the system's parameters
and initial conditions.
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