Aim:to propose a technical solution to ensure the lateral stabilization of the vehicle with an electrodynamic suspension. Development of a method for calculating the levitation characteristics of a transport installation with an electrodynamic suspension in the presence of a longitudinal joint in the track. Analysis of the results of theoretical studies.
 Мaterials and methods: The article used the methods of the electromagnetic field theory, generalized functions, Fourier transform, analytical and numerical methods for determining quadratures. The program for PC was developed in the Fortran language.
 Result: to ensure lateral stabilization of the vehicle with an electrodynamic suspension, it was proposed to introduce a longitudinal insulating joint into the structure of the track bed. A mathematical model is proposed for this system of electrodynamic suspension in approximation of an infinitely wide track structure of rectangular cross section.
 A mathematical model is proposed for this system of electrodynamic suspension in approximation of an infinitely wide track structure of rectangular cross section. Numerical integration of these equations was performed by applying the Gauss formula and the Philo method. The results of the calculations allowed us to obtain a number of graphical dependencies of the levitation characteristics on the magnitude of the lateral displacement of the carriage electromagnet from a relatively symmetrical position.
 Conclusion: thus, the obtained results of the study fully meet the goal of determining the parameters of the side stabilization of the vehicle with an electrodynamic suspension with a track, containing a longitudinal joint under the assumptions made.
 Comparison of the proposed method with other proposed stabilization methods does not reveal the decisive advantages or disadvantages of the new method. In most cases, its most serious drawback is its low levitation quality. However, it is significantly reduced if the movement of the high speed ground transportation vehicle occurs predominantly at high speed, at which the force of aerodynamic drag prevails over the force of electrodynamic braking.
 Same relative is and the dignity of the system-high lateral rigidity. The reason for this is that the demands on the lateral stiffness can be quantified only formulated in relation to a particular track HSGT taking into account the timetable and other factors.
 In fact, the main destabilizing influences in sideways are inertia at motion on component and crosswind. Its role in choosing the stabilization system could play and other tasks the system subsystems HSGT.
 For example, installing additional stabilizing magnets can make it difficult to escape the passenger compartment from the magnetic field. Plays a role also principle and system design of traction. From the above it is clear that the final choice of the lateral stabilization of the research at this stage would be premature.
 Proposed and studied in this article a new way to stabilize should be regarded as another possible along with the preceding. The answer to the question on the competitiveness of the new method must be bound to the characteristics of specific trails HSGT. Necessary and further refinement of results associated with the more strict account of edge effect, as well as consideration of the case of uninsulated interface.
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