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Critical thresholds for mode-coupling instability in viscoelastic sliding contacts
Citation Link: https://doi.org/10.15480/882.3646
Publikationstyp
Journal Article
Date Issued
2021-06-05
Sprache
English
Author(s)
Institut
TORE-DOI
TORE-URI
Journal
Volume
104
Issue
4
Start Page
2995
End Page
3011
Citation
Nonlinear Dynamics 104 (4): 2995-3011 (2021-06)
Publisher DOI
Scopus ID
Publisher
Springer Science + Business Media B.V
Mode-coupling instabilities are known to trigger self-excited vibrations in sliding contacts. Here, the conditions for mode-coupling (or “flutter”) instability in the contact between a spherical oscillator and a moving viscoelastic substrate are studied. The work extends the classical 2-Degrees-Of-Freedom conveyor belt model and accounts for viscoelastic dissipation in the substrate, adhesive friction at the interface and nonlinear normal contact stiffness as derived from numerical simulations based on a boundary element method capable of accounting for linear viscoelastic effects. The linear stability boundaries are analytically estimated in the limits of very low and very high substrate velocity, while in the intermediate range of velocity the eigenvalue problem is solved numerically. It is shown how the system stability depends on externally imposed parameters, such as the substrate velocity and the normal load applied, and on contact parameters such as the interfacial shear strength τ and the viscoelastic friction coefficient. In particular, for a given substrate velocity, there exist a critical shear strength τ,crit and normal load Fn,crit, which trigger mode-coupling instability: for shear stresses larger than τ,crit or normal load smaller than Fn,crit, self-excited vibrations have to be expected.
Subjects
Flutter
Friction-induced vibrations
Mode-coupling
Soft matter
Viscoelasticity
DDC Class
600: Technik
More Funding Information
Open access funding provided by Politecnico di Bari within the CRUI-CARE Agreement. A.P. and C.P. acknowledge the support by the Italian Ministry of Education, University and Research under the Programme Department of Excellence Legge 232/2016 (Grant No. CUPD94I18000260001). A.P. acknowledges support from “PON Ricerca e Innovazione 2014-2020-Azione I.2” - D.D. n. 407, 27/02/2018, bando AIM (Grant No. AIM1895471). A.P. acknowledges support from Tutech Innovation Gmbh.
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