Kirillov, Oleg (2007) Bifurcation of the roots of the characteristic polynomial and destabilization paradox in friction induced oscillations. Theoretical and Applied Mechanics, 34 (2). pp. 87-109. ISSN 1450-5584
|
Text
2007TAM.pdf - Published Version Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (896kB) | Preview |
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Friction-induced oscillations, circulatory system, destabilization paradox due to small damping, characteristic polynomial, multiple roots, bifurcation, stability domain, Whitney umbrella singularity |
| Subjects: | G100 Mathematics H300 Mechanical Engineering |
| Department: | Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering |
| Depositing User: | Oleg Kirillov |
| Date Deposited: | 02 May 2017 08:53 |
| Last Modified: | 01 Aug 2021 01:34 |
| URI: | http://nrl.northumbria.ac.uk/id/eprint/30650 |
Actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
