Roman V. Bobryk

Beneficial Effect of Noise in Suppression of Self-Excited Vibrations

We discuss the possibility of full suppressions of self-excited vibrations by noise. Recently, periodic excitations have been intensively studied for this aim. We compare the used periodic and random noise excitations in the case of a two-mass system. It is shown that the random noise excitations can be more efficient under certain conditions. The telegraphic process is used as the source of noise. The mean-square (energetic) asymptotic stability of the system is a tool in study of the suppression. The stability charts are presented for different values of the transition rate of the telegraphic noise.

Numerical Study of Energetic Stability for Harmonic Oscillator with Fluctuating Damping Parameter

A harmonic oscillator with fluctuating damping parameter is considered. The fluctuation is modelled by three type of zero mean random processes with the same correlation function: Ornstein–Uhlenbeck process, telegraphic process and sine-Wiener process. Efficient numerical procedures are introduced for obtaining energetic stability diagrams for such cases of random parameter.