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


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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Link to paper using doi:10.1006/jsvi.1997.1261

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