Almost-Sure Asymptotic Stability of Rotor Blades Flapping Motion
in Forward Flight in Turbulent Flow
This paper examines the almost-sure asymptotic stability of uncoupled
flapping motion of rotor blades in forward flight under the effect
of atmospheric turbulence.
Under these conditions, the equation of motion of the rotor blade system
contains both harmonic and stochastic excitations.
The intensities of these excitations are assumed small in order to
approximate the physical process by a diffusive Markov process defined by
a set of Itô equations.
Explicit almost-sure stability conditions are derived for the equivalent
Itô equations and are compared with the mean square stability
conditions using Itô differential rule.