When during the operation of rotors supported in gas bearings their ro
tational velocity reaches a sufficiently high value, the loss of stead
y-state stability occurs. This instability is caused by the loss of da
mping properties of the gas film, which leads to self-excited vibratio
ns. These vibrations are the basic obstacle to a widespread applicatio
n of gas bearings. The phenomenon of self-excited vibrations can be av
oided by introducing an elastic supporting structure between the beari
ng bushes and the casing, characterised by properly selected stiffness
and damping coefficients. In practice such a structure can have the f
orm of an externally pressurised gas ring. In this paper we demonstrat
e, on the basis of selected examples, which ranges of the values of st
iffness and damping coefficients of the gas ring make it possible to r
etain steady-state stability at practically any rotational velocity of
the rotor. We also show a design of the ring structure, especially of
its feeding system, which ensures the required values of stiffness an
d damping coefficients (with regard to the stability). Our investigati
ons have been carried out by means of a numerical simulation method wi
th the use of a mathematical model of the gas bearing, verified alread
y many times.