FRICTION-INDUCED PARAMETRIC RESONANCES IN DISCS: EFFECT OF A NEGATIVE FRICTION–VELOCITY RELATIONSHIP

• Published in: Journal of sound and vibration Vol. 209; no. 2; pp. 251 - 264
• Main Authors: Ouyang, H., Mottershead, J.E., Cartmell, M.P., Friswell, M.I.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 15-01-1998; Elsevier
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Annular plate; Disk brake; Vibrations (mechanical); Multiscale method; Numerical methods; Moving contact; Parametric resonance; Dynamic stability; Asymptotic approximation; Disk; Sliding friction
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1006/jsvi.1997.1261

Parametric resonances are studied which occur when an elastic 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 friction–velocity relationship) is (i) to introduce additional parametric resonances which are destabilised by the transverse damper, and (ii) to reduce the regions of instability of the other resonances.