IKBFU's Vestnik

2017 Issue №3

Normal connections of the L-subbundle of a strongly mutual distribution of the projective space

Abstract

The special class of the threefold distributions of the projective space Pn — VH -distribution — is considered. In each center X of VH -distribution the incidence relation of the elements of the -, M-, H-subbundle has an appearance X   r  Mm  Hn1, where r  m  n  1. This class is characterized by the fact that the pairs (, ), (L, ), (M, E) of the main structural subbundles of this threefold distribution are mutual. Invariant dual normal connections induced in bundles of the 1st and 2nd kind normals of the L-subbundle of this VH -distribution are examined.

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Simulating of non-stationary processes in the ionospheric plasma

Abstract

A model of distribution of concentration, velocities and temperatures of ions along a geomagnetic flux tube is considered. The model also examines the main processes of chemical kinetics, ambipolar diffusion, influence of horizontal neutral wind and plasma heating by superthermal electrons. The article presents numerical calculation results of variations of charged particles concentration in the ionosphere and the plasmasphere. The comparative analysis of various hydrodynamic approximations for the description of the ionospheric and the magnetospheric plasma is carried out. It is made on the basis of the numerical solution of the system of equations of energy, continuity and motion for O+, H+ ions and electrons along a power tube of the geomagnetic field. Differences between the hydrodynamic description and diffusive approach are especially considerable in the plasmasphere. These differences manifest themselves both in concentration of ions and in their velocities and have little impact only in distributions of temperature.

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The mismatch characteristics of the capital equipment of a production complex

Abstract

The current misalignment of the contact schedule with the actual work schedule is gradually accumulated in implementing the contact schedule of the complicated production complex. The technology of determining the characteristics of the inception and completion in the main technological operations of the electro steel melting complex is presented.

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Empirical and theoretical approaches to the movement control of the exoskeleton

Abstract

The article presents two possible approaches to controlling the movement of the exoskeleton. The first approach is the empirical determination of control actions on a person, their amplification and realization in the drives located in the hinges-joints of the exoskeleton. The essence of the second approach in the synthesis of analytical functions that provide anthropomorphic periodic movements of the exoskeleton. The novelty of the work is to take into account the change in the lengths of the links of the exoskeleton. As a numerical example, the behavior of a model with five moving links is studied. The phase images of the main motion characteristics are presented. The obtained results show significant differences between the behavior of the model in the considered approaches to controlling the movement of the exoskeleton.

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Modeling the formation of ion shadows behind a positively charged microsatellite in an oxygen plasma by the molecular dynamics method

Abstract

Results of modeling the formation of ion shadows in a thermal ionospheric plasma consisting of oxygen ions and electrons behind a charged microsatellite are presented. The molecular dynamics method was used for modeling. It is shown that in a time of the order of 610-5 s an ionic shadow with a low ion concentration is practically formed.

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The differential and geometrical structures associated with the regular tangently r-framed hyperstrip of the projective space

Abstract

-structures and almost contact structures in the tangent T-, -, L-subbundles of the regular tangently r-framed hyperstrip Hm of the n-dimensional projective space are introduced. Analytical signs and geometrical interpretations characterize the examined structures.

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