Title :
Resonant dynamics of nonlinear stochastic systems
Author_Institution :
Mech. Eng. Res. Inst., Moscow, Russia
Abstract :
The impact of random perturbations on resonant motions in nonlinear oscillatory systems is studied. It is shown that the reliability of resonant systems can be associated with stable motions within a small near resonant domain (effect of "capture in resonance"). The model of near resonant motions in stochastic systems is given, and asymptotic analysis of this model is developed. It is demonstrated that the capture phenomenon is closely tied with the dissipation of the mean energy in the near resonant domain. The necessary conditions for capture in resonance in presence of random perturbations are constructed.
Keywords :
control system analysis; nonlinear control systems; stochastic systems; asymptotic analysis; capture-in-resonance effect; mean energy dissipation; necessary condition; nonlinear oscillatory system; nonlinear stochastic system; resonant domain; resonant system reliability; Approximation methods; Mathematical model; Oscillators; Resonant frequency; Stochastic processes; Stochastic systems; Surface treatment; nonlinear systems; resonances; stochastic systems;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
