Bifurcation of the roots of the characteristic polynomial and destabilization paradox in friction induced oscillations

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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 languageEnglish
Pages (from-to)87-109
JournalTheoretical and Applied Mechanics
Volume34
Issue number2
DOIs
Publication statusPublished - 3 Mar 2007

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