The frequency response of dynamic friction: Enhanced rate-and-state models

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Authors
Cabboi, A 
Putelat, T 
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.

Description
Keywords
Vibration, Dynamic friction, Mechanical testing, Rate-and-state model, Contact stiffness
Journal Title
Journal of the Mechanics and Physics of Solids
Conference Name
Journal ISSN
0022-5096
1873-4782
Volume Title
92
Publisher
Elsevier BV
Sponsorship
Engineering and Physical Sciences Research Council (EP/K003836/1)
Alessandro Cabboi and Thibaut Putelat both acknowledge support from the EPSRC programme grant “Engineering Nonlinearity” (ref. EP/K003836/1).