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A. Steindl:
"Loss of stability of a visco-elastic belt drive";
Talk: 10th European Solid Mechanics Conference, Bologna, Bologna; 2018-07-02 - 2018-07-06.

We investigate the loss of stability of the steady configuration of a planar
visco-elastic belt drive. The belt is considered as a linearly visco-elastic
slender beam with small bending stiffness, which is driven by a steadily
rotating drum. Due to the presence of the small damping parameter and
the small bending stiffness, the equations of motion are severly singularly
perturbed.
By variation of system parameters, like the driving speed, the damping
coefficient, the tension force and the radius of the drums, we calculate the
steady configuration and its stability limit. We also calculate the direction
and stability of the bifurcating solution branches.

Hopf bifurcation; viscous damping; singular perturbation