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The National Academy of Sciences of Ukraine

The Institute of Electrodynamics

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R.P. Bondar1*, A.D. Podoltsev2**
1- Kyiv National University of Construction and Architecture,
pr. Povitroflotsky, 31, Kyiv, 03037,
Ukraine, e-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it
2- Institute of Electrodynamics of the National Academy of Sciences of Ukraine,
Peremohy, 56, Kyiv-57, 03680, Ukraine

The paper presents two-mass vibro-impact system with the tubular linear permanent magnet vibratory motor. The model of the system is grounded on an equivalent circuit with lumped parameters and takes account the dependence of electric parameters from an operating frequency. The model also considers magnetic losses in the motor core. We applied the Hertz’s formula for modeling of an impact force. On the basis of nonlinear equations of system dynamics, and also by means of the Poincare map and bifurcation diagram, we have shown the influence of the supply voltage on the system’s operation mode. Based on the derived system dynamical equations, the analysis of periodic, quasi-periodic and chaotic operating modes of the two-mass vibro-impact system is made. Reference 13, figures 10.
Key words: chaotic operating mode, linear permanent magnet motor, two-mass vibro-impact system.

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Received 19.07.2019