Author
Howell, P
Journal title
SIAM Journal on Applied Mathematics
DOI
10.1137/18M1191191
Issue
6
Volume
78
Last updated
2022-07-31T12:31:30.52+01:00
Page
3145-3167
Abstract
We consider a simple dynamical model for a discrete system of N metal pins in frictional thermoe lastic contact with a moving surface. In general, the model consists of N heat equations for the temperature in each pin, subject to non-smooth and non-local coupling through the conditions for contact between each pin and the moving surface. When the normalised coefficient of thermal expansion is sufficiently large, the model predicts large-amplitude oscillatory behaviour in qualitative agreement with experimental observations of thermoelastic in stability. We use perturbation methods to analyse the model and thus describe in detail the bifurcation behaviour of the system as the relevant physical parameters are varied.
Symplectic ID
924756
Favourite
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Publication type
Journal Article
Publication date
27 Nov 2018
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