Controlled Passage through Resonance for Flexible Vibration Units

Abstract

The problem of controlled passage through resonance zone for mechanical systems with several degrees of freedom is studied. Control algorithm design is based on speed-gradient method and estimate for the frequency of the slow motion near resonance (Blekhman frequency). The simulation results for two-rotor flexible vibration units illustrating efficiency of the proposed algorithms and fractal dependence of the passage time on the initial conditions are presented. The novelty of the results is in demonstration of good behavior of the closed loop system if flexibility is taken into account.

Control of Passage Through Resonance Zone for 1-Rotor Vibration Unit With Time-Varying Load

“…It was extended to two-rotor vibration machines [Fradkov et al, 2014]. Later flexibility of the motor shafts [Tomchin et al, 2015] and dynamics of the drives [Gorlatov et al, 2015] were taken into account.…”