
44 Friction-Induced Vibration and Self-Organization
rate. The displacement should not be studied locally; instead, a mode shape
of the displacement δu
k
(x,y) is investigated, yielding a characteristic equation
for frequencies that can have stable or unstable modes. Frictional heat gen-
eration and conduction can be incorporated into the model, leading to the
thermoelastic instabilities. The stability analysis of the frictional contact of
elastic bodies will be discussed in detail in Chapter 6.
3.4.4 Instability during Friction Heat Conduction
Heat generated by friction ows away from the frictional interface into the
bulk of the contacting material ...