Dynamic stability is investigated for a mechanical seal configuration
in which both seal elements are flexibly mounted to independently rota
ting shafts. The analysis is applicable to systems with both counterro
tating and corotating shafts. The fluid film effects are modeled using
rotor dynamic coefficients, and the equations of motion are presented
including the dynamic properties of the flexible support. A closed-fo
rm solution for the stability criteria is presented for the simplified
case in which the support damping is neglected. A method is presented
for obtaining the stability threshold of the general case, including
support damping. This method allows instant determination of the stabi
lity threshold for a fully-defined seal design. A parametric study of
an example seal is presented to illustrate the method and to examine t
he effects of various parameters in the seal design upon the stability
threshold. The fluid film properties in the example seal are shown to
affect stability much more than the support properties. Rotors having
the form of short disks are shown to benefit from gyroscopic effects
which give them a larger range of stable operating speeds than long ro
tors. For seals with on long rotor, counterrotating operation is shown
to be superior because the increased fluid stiffness transfers restor
ing moments from the short rotor to the long.