|Autors: Todorov, T. S., Mitrev, R. P., Tudjarov, B. N., Nikolov, R. F.|
Title: Qualitative analysis of oscillating magnetomechanical system
Keywords: Coulomb's Law, Dynamical model, Magnetic force, Mass-spring, Nonlinear differential equation, Phase portrait, Qualitative analysis, Typical properties
Abstract: The paper deals with mathematical modelling and qualitative analysis of a dynamic system of the type mass-spring-permanent magnet. The mass of the system is suspended on the free end of a cantilever beam and oscillates in a magnetic field created by a permanent magnet. The the magnetic force is obtained using the finite element method and approximated by a function similar to the Coulomb's Law. The dynamical model of the system is built on the basis of the Newton 2nd law. By means of qualitative analysis of a nonlinear differential equation, the bifurcation zones are determined. The phase portraits of the system are investigated depending on its bifurcation behaviour. Based on the performed analysis a method for dynamical synthesis of system parameters is proposed. Besides, some typical properties of the dynamical system are determined.
Copyright IOP Publishing Ltd.
1. A. A. Popov and A. O. Kuzmina, "Information Technology for the Analysis of the Phase Trajectory of the Dynamic System (on the Example of Organization in the Field of Housing and Communal Services)," 2020 International Multi-Conference on Industrial Engineering and Modern Technologies (FarEastCon), Vladivostok, 2020, pp. 1-6, doi: 10.1109/FarEastCon50210.2020.9271316. - 2019 - в издания, индексирани в Scopus или Web of Science
Вид: пленарен доклад в международен форум, публикация в издание с импакт фактор, публикация в реферирано издание, индексирана в Scopus