Friction Induced Parametric Resonances in Discs: The Effect of a Negative Friction-Velocity Relationship

H Ouyang, JE Mottershead (Liverpool University), MP Cartmell (Edinburgh University) & MI Friswell (University of Wales Swansea)

Journal of Sound and Vibration, Vol. 209, No. 2, January 1998, pp. 251-264

Abstract

Parametric resonances are studied when an elasic system is rotated around an annular disc with friction having a negative slope with velocity. The elastic system consists of two spring-dashpots, in the transverse and in-plane (circumferential) directions, and a common point mass. The complete arrangement is driven around the disc through the in-plane stiffness and damper. It is demonstrated that the effect of the in-plane system (including the negative-velocity relationship) is (i) to introduce additional parametric resoances which are destabilised by the transverse damper, and (ii) to reduce the regions of instability to the other resonances.

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This material has been published in the Journal of Sound and Vibration, Vol. 209, No. 2, January 1998, pp. 251-264, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by Academic Press. This material may not be copied or reposted without explicit permission.

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Link to paper using doi:10.1006/jsvi.1997.1261

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