A note on thermoelastodynamic instability (TEDI) for a 1D elastic layer: Force control

Recently, a new mechanism of frictional instability has been identified, for an elastic layer sliding against a rigid non-conducting support. This mechanism emerges where neither elastodynamic instabilities (e.g. ‘brake squeal’) nor thermoelastic (‘TEI’) instabilities would be active. The time scales of these processes differ considerably, so it is usual to neglect coupling between them – yet, the natural elastodynamic vibrations of the layer become unstable at arbitrarily low sliding speeds. In this paper, the force control analogous problem is treated, for which, contrary to the previous case, a pure TEI instability does not exist. The results show similar mechanisms of instability, but now the average pressure in the limit cycle is given and hence only the shape of the cycle can change.