The control of the resonant mode of a vibrating machine that is driven by an asynchronous electro motor

Features of dynamics of mechanical system with self-synchronizing vibroexciters near resonance

“…The previously proposed in [15] control algorithm for automatic tuning and resonant mode maintaining takes into account possible changes in the mass of the system, which leads to a change in the resonant frequency. Phase shift ε between vertical oscillations of the platform and vertical component of disturbing force, determined in steady state, is taken as the main controlled parameter that determines the oscillation mode of the whole system.…”

“…To determine the change in power supply frequency, required to adjust the system to resonant mode, dynamic portrait conception has been developed [15]. Dynamic portrait is relationship between three system parameters: phase shift, power supply frequency, and natural frequency of the system (or mass, if we consider it as a changing parameter of the system).…”

“…This problem is associated with the slip effect which essentially depends on oscillations of machine working body [10,[12][13][14]. In [15,16] the authors of this article proposed methods and algorithms for controlling resonant oscillations of single-mass vibrating machines with unbalanced exciter driven by AC motor. However, these works tended to consider excitation schemes with a single exciter.…”

“…Note that self-synchronization occurs only under certain conditions which depend on parameters of oscillating system and parameters of oscillations (magnitude, frequency and mode shape). It is particularly difficult to maintain self-synchronization near resonance if system parameters and operation load change [15]. exciters in the resonance zone on the example of a single-mass system.…”

“…In order to automatically adjust and maintain the resonance mode of oscillations, a frequency control system for the supply voltage has been developed and implemented [15,16,18]. An appropriate prototype in the form of resiliently supported platform with two motor-vibrators has been designed for experimental verification (see Fig.…”