DYNAMICS FEATURES OF A VIBRATING MACHINE WITH ELASTIC ELEMENT HAVING EXPONENTIAL CHARACTERISTIC OF RESILIENT FORCE
Grigory Altshul, Alexander Gouskov, Grigory Panovko, Alexander Shokhin
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.
CYBERNETICS AND PHYSICS 2021, Vol. 10, Is.2, 59–62. https://doi.org/10.35470/2226-4116-2021-10-2-59-62