|
|
The stochastic stability problem of a viscoelastic Voigt-Kelvin balanced
rotating shaft subjected to action of axial forces at the ends is
studied. The shaft is of circular cross-section, it rotates at a
constant rate about its longitudinal axis of symmetry. The effect of
rotatory inertia of the shaft cross-section and external viscous damping
are included into account. The force consists of a constant part and a
time-dependent stochastic function. Closed form analytical solutions are
obtained for simply supported boundary conditions. By using the direct
Liapunov method almost sure asymptotic stability conditions are obtained
as the function of stochastic process variance, external damping
coefficient, retardation time, angular velocity, and geometric and
physical parameters of the shaft.
|
|
