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A. Teufel, A. Steindl, H. Troger:
"Rotating slip stick separation waves";
Talk: IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty, Nanjing; 09-18-2006 - 09-22-2006; in: "IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty", H. Hu, E. Kreuzer (ed.); Springer, (2006), ISBN: 978-1-4020-6331-2; 257 - 266.

We consider a thick-walled elastic tube (cylinder)
which is fixed in space at its outer surface.
Inside the tube rotates a rigid shaft
about the common axis of the tube-shaft system.
The inner diameter of the tube is assumed to be
smaller than the outer diameter of the
shaft. Hence the tube is compressed. The tangential contact
force is assumed to be given by Coulomb's law of
dry friction. For the infinite dimensional
continuous tube shaft system, solutions are found which are
rotating slip-stick and slip-stick-separation waves with
different wave numbers.

To understand some special features of
these solutions we also consider a simple one degree
of freedom oscillator, however, with a more complicated dry
friction contact force which now depends on the relative velocity
possessing a decreasing and increasing part.

Finite and infinite dimensional oscillators with friction, bifurcation analysis, Coulomb friction, three-parameter friction model