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Abstract
The prediction and control of friction-induced vibration requires a sufficiently accurate constitutive law for dynamic friction at the sliding interface: for linearised stability analysis, this requirement takes the form of a frictional frequency response function. Systematic measurements of this frictional frequency response function are presented for small samples of nylon and polycarbonate sliding against a glass disc. Previous efforts to explain such measurements from a theoretical model have failed, but an enhanced rate-and-state model is presented which is shown to match the measurements remarkably well. The tested parameter space covers a range of normal forces (10–50 N), of sliding speeds (1–10 mm/s) and frequencies (100–2000 Hz). The key new ingredient in the model is the inclusion of contact stiffness to take into account elastic deformations near the interface. A systematic methodology is presented to discriminate among possible variants of the model, and then to identify the model parameter values.
Original language | English |
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Pages (from-to) | 210-236 |
Number of pages | 27 |
Journal | Journal of the Mechanics and Physics of Solids |
Volume | 92 |
Early online date | 1 Apr 2016 |
DOIs | |
Publication status | Published - Jul 2016 |
Keywords
- vibration
- dynamic friction
- mechanical testing
- rate-and-state
- contact stiffness
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