Abstract
On the basis of a generalized interdisciplinary method that consists of a modification of Hamilton–Ostrogradski principle by expanding the Lagrange function with two components that address the functions of dissipation energy and the energy of external conservative forces, a mathematical model is presented of an electromechanical system that consists of the force section of a magneto-levitation non-contact maglev suspension in a prototype traction vehicle. The assumption that magnetic potential hole, generated naturally by means of cryogenic equipment, is present in the levitation suspension, serving to develop the model system. Contrary to other types of magnetic cushion train suspensions, for instance, maglev–Shanghai or Japan–maglev, this suspension does not need a complicated control system, and levitation is possible starting from zero train velocity. As high-temperature superconductivity can be generated, the analysis of levitation systems, including the effect of magnetic potential holes, has become topical. On the basis of the model of a prototype maglev train, dynamic processes are analyzed in the levitation system, including the effect of the magnetic potential hole. A system of ordinary differential equations of the dynamic state is presented in the normal Cauchy form, which allows for their direct integration by both explicit and implicit numerical methods. Here, the results of the computer simulations are shown as figures, which are analyzed.
Highlights
The beginning of the last century was marked with an avalanche of physical discoveries, including Planck’s quantum mechanics, the theory of relativity developed by Lorentz–Poincaré–Einstein, controlled nuclear reaction, Heisenberg’s uncertainty principle, and many others
Its force section is modelled11 as operational diagram of a maglev train travelling along the coordinate z
To y0 = 0.3 m, vx = 70,000 operational diagram of a maglev train travelling along the coordinate z
Summary
The beginning of the last century was marked with an avalanche of physical discoveries, including Planck’s quantum mechanics, the theory of relativity developed by Lorentz–Poincaré–Einstein, controlled nuclear reaction, Heisenberg’s uncertainty principle, and many others. Proof of Earnshaw’s theorem is mathematically ideal; the stability of the magnetic system configurations is impossible Does this mean the question of static levitation in magnetic systems is closed?. If they say something cannot be done at all, they are usually wrong [1,14] This law applies to a number of scientists who carried out research into the stability of magnetic levitation systems. Both good effects and failed, unpublished experiments have been produced. A similar experiment in superconducting systems was undertaken by a German physicist, Meissner [1] Another type of magnetic levitation was first generated and theoretically explained in the literature [1]. As this is the starting point of our study, we will introduce the physical idea of the potential hole
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