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A. Steindl:
"Oscillatory behaviour of travelling waves in a brake-like system";
Talk: CLASSICAL PROBLEMS OF RIGID BODY DYNAMICS, Donetsk, Ukraine (invited); 2007-06-09 - 2007-06-13.

As a simple model for a disc-clutch we consider an elastic tube, which
is in frictional contact with a a rigid cylinder, rotating inside the tube about their
common axis. Between the two bodies we assume Coulomb's friction
law. Depending on the geometry and material data of the tube and the
contact pressure with the cylinder, several types of rotating
slip-stick and also slip-stick-separation travelling waves with
different wave numbers can be located numerically.

By calculating the eigenvalues for the linearized system we find,
that for a large range of parameters all travelling waves are
unstable. Simulations indicate, that oscillatory dynamics with a
complicated spatial structure occurs, which leads to undesirable noise
and wear of the system.

We try to locate the stability boundaries in
parameter space and determine the oscillatory motion in the unstable
regime.

Dry friction, Coulomb's law, travelling Waves, Hopf bifurcation

http://www.iamm.ac.donetsk.ua/techmech/conf2007/announ.htm