Abstract
Paradoxical effect of small dissipative and gyroscopic forces on the stability of a linear non-conservative system, which manifests itself through the unpredictable at first sight behavior of the critical non-conservative load, is studied. By means of the analysis of bifurcation of multiple roots of the characteristic polynomial of the non-conservative system, the analytical description of this phenomenon is obtained. As mechanical examples two systems possessing friction induced oscillations are considered: a mass sliding over a conveyor belt and a model of a disc brake describing the onset of squeal during the braking of a vehicle.
| Original language | English |
|---|---|
| Pages (from-to) | 87-109 |
| Journal | Theoretical and Applied Mechanics |
| Volume | 34 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 3 Mar 2007 |
Keywords
- Friction-induced oscillations
- circulatory system
- destabilization paradox due to small damping
- characteristic polynomial
- multiple roots
- bifurcation
- stability domain
- Whitney umbrella singularity