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THEORETICAL AND APPLIED MECHANICS |
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TEORIJSKA I PRIMENJENA MEHANIKA 2007 Vol.34(2), pp.87-109
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Summary: |
O.N. Kirillov |
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Bifurcation of the roots of
the characteristic polynomial |
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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. |
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