Bifurcation of the roots of the characteristic polynomial and the destabilization paradox in friction induced oscillations
2007 ◽
Vol 34
(2)
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pp. 87-109
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Keyword(s):
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.
2000 ◽
2018 ◽
Vol 2018
◽
pp. 1-10
◽
1996 ◽
Vol 202
(1)
◽
pp. 133-149
◽