Features of the oscillations of linear dynamic systems with dissipative coupling having two degrees of freedom

摘要

The natural frequencies of a system of this type lie between its partial frequencies. There are three characteristic regions of the mismatch between partial frequencies. In the central region (near the internal resonance point), the natural frequencies of the system practically coincide, and so do the oscillation amplitudes for these frequencies. In the left and right regions, the natural frequencies approach the partial frequencies. Generally, the motion consists in damped amplitude-phase-modulated oscillations. As time elapses, there occurs frequency tuning of the oscillators to one frequency at which damping goes more slowly, and the oscillations invariably go over to the in-phase mode.