Abstract
The article analyzes the possibility of using nonlinear elastic elements as a suspension of the working element of resonant vibrating machines with two unbalance vibration exciters is analyzed. The elastic characteristic of the suspension is described by an exponential law, which ensures that the natural frequency remains unchanged regardless of the system mass. Static characteristics of the vibration exciter motors are taken into account. A system of differential equations describing movement of the system depending on the processed material mass is obtained. Amplitude-frequency characteristics depending on the power supply voltage, as well as on the debalance rotational speed are obtained for different values of material mass. The stability of the obtained periodic solutions is analyzed. The constancy of resonant amplitude and frequency of the working element vibrations at various values of material mass is shown. The results obtained confirm the advisability of using an equalfrequency suspension of the working element for resonant vibrating machines.
Highlights
One of the main ways to excite vibrations of technological vibromachines is force excitation using unbalanced vibrators [Blekhman, 1994; Vaisberg, 1986; Lavendel, 1981]. Vibromachines of this class operate in a above-resonant mode. This mode requires the use of overpowered electric motors, which is necessary to overcome the resonance
The use of the most effective resonance modes is sophisticated by their instability, which appears even with
This article is dedicated to the memory of Professor Ilya Izrailevich Blekhman, who died from COVID-19 at CYBERNETICS AND PHYSICS, VOL. 10, NO. 2, 2021 minor changes in the system parameters, as well as due to nonlinearities arising from the working element interaction with the processed material and/or with a vibration drive of limited power [Gouskov and Panovko, 2012; Cveticanin et al, 2017; Nayfeh and Mook, 1995; Sinha et al, 2020; Yaroshevich, 2020]. All this increases the complexity of maintaining near resonance modes and leads to the need to use systems for controlling the electric motors rotational speed [Fradkov et al, 2013; Panovko et al, 2015]
Summary
One of the main ways to excite vibrations of technological vibromachines is force excitation using unbalanced vibrators [Blekhman, 1994; Vaisberg, 1986; Lavendel, 1981]. 2, 2021 minor changes in the system parameters, as well as due to nonlinearities arising from the working element interaction with the processed material and/or with a vibration drive of limited power [Gouskov and Panovko, 2012; Cveticanin et al, 2017; Nayfeh and Mook, 1995; Sinha et al, 2020; Yaroshevich, 2020] All this increases the complexity of maintaining near resonance modes and leads to the need to use systems for controlling the electric motors rotational speed [Fradkov et al, 2013; Panovko et al, 2015].
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