The frequency response of dynamic friction: enhanced rate-and-state models
Journal of the Mechanics and Physics of Solids
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Cabboi, A., Putelat, T., & Woodhouse, J. (2016). The frequency response of dynamic friction: enhanced rate-and-state models. Journal of the Mechanics and Physics of Solids, 92 210-236. https://doi.org/10.1016/j.jmps.2016.03.025
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.
vibration, dynamic friction, mechanical testing, rate-and-state model, contact stiffness
Alessandro Cabboi and Thibaut Putelat both acknowledge support from the EPSRC programme grant “Engineering Nonlinearity” (ref. EP/K003836/1).
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External DOI: https://doi.org/10.1016/j.jmps.2016.03.025
This record's URL: https://www.repository.cam.ac.uk/handle/1810/254941
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