Zub S. Influence of superconductive elements topology on the stability of the free body equilibrium

Dissertation is devoted to the elaboration of new electromechanics mathematical models and to the solving of the possibility of steady contact free static equilibrium bodies (interacting only by magnetic forces) question, and also to the studding of the physical mechanisms of such equilibrium realization. In dissertation two possible types of the free contact static equilibrium are considered, namely, the equilibrium, conditioned by the minimum of the magnetic potential energy, so called: Magnetic Potential Well (MPW), and the equilibrium, reputed as the MagLev. The constructive proofs of the MPW existence are got, a few concrete configurations of the magnetic bodies are designed, in latter the presence of strict minimum of magnetic potential energy is proved (analytically, as a rule). It has been established that topology of the bodies influences on the physical mechanisms of the magnetic static stable equilibrium realization, and on some force characteristics of the bodies interaction. It is shown,that MPW, as well as the MagLev is possible on the base of two fundamentally diverse magnetic phenomena, namely, on the diamagnetic repulsion effect and MPW-phenomenon. In the first case the MagLev is possible only in a form of the magnetic pillow, and in second one - in a form of the magnetic suspension. Key words: mathematical modeling, stability, theorem by Irnsho, diamagnetic repulsion effect, MPW-phenomenon, magnetic bodies configurations, MagLev, Magnetic Potential Well, Neyman's task, topology of the superconductive elements.