

Articles
by
V.V. Grechikhin 
Total Records (
5 ) for
V.V. Grechikhin 





D.N. Shurygin
,
N.I. Gorbatenko
,
V.V. Grechikhin
and
D.V. Shaykhutdinov


The study considers the problem of geometrization of physicalmechanical properties of rocks of the
coal strata. The solution of the inverse problem of diagnostics of a condition of the geophysical parameters of
the geological space is considered. The approach is proposed for determining the parameters of the regression
equation of physical and mechanical properties on the geophysical parameters defined in the exploratory wells.
Optimization of parameters of mathematical models is based on the solution of the inverse problem of
diagnostics of a condition of the geophysical parameters by the method of fullscale modeling of the
experiment. The regularization criterion takes into account the principles of selforganization of mathematical
models of complex systems. Identification of the parameters of the regression equation carried out on the basis
of algorithm with successive selection of trends (the method of group accounting of arguments). 




A.L. Balaban
,
Yu.A. Bakhvalov
,
V.V. Grechikhin
and
D.V. Shaykhutdinov


The study is proposed of the method for optimal design electromagnets of highprecision systems
for positioning objects in a horizontal plane, based on the solving conditionallycorrect inverse problems and
the transformation of constraints on the tractive force, flux density in the gap of the electromagnet of
highprecision system and temperature of the coil in the criteria (objective functions). Minimization of these
objective functions is performed by gradient descent numerically. In this case is solved sequence of the direct
tasks of calculation of magnetic and heat fields. The fourth criterion is the mass of the electromagnet.
Minimizing mass is performed analytically. Objective functions are ranked by importance. Method is a
modification of the method for solving multicriteria problems the method of lexicographic ordering. Modification
takes into account the features of the designed object; each objective function depends on a limited number
of parameters of the object. The formula for calculating the optimal parameters are given. The study shows the
results of experimental research. The proposed method is more effective than the known methods for example,
the method of the main criterion and the method of penalty functions. The method is highly efficient and can
be used in optimal design of a variety of electrotechnical devices. 




S.P. Vorobyev
,
D.V. Shaykhutdinov
,
E.V. Kirievskiy
and
V.V. Grechikhin


The study shows the necessity and features of the design of distributed informationmeasuring
systems of precision multifunctional measuring complexes. The use of the ethernet family standard is the basic
technical solution for building the information level. The formulation of a mathematical model of the structure
optimization of a distributed informationmeasuring system which is reduced to a modified clustering problem
is presented. It is proposed to use an approach based on a genetic algorithm to solve the problem. The research
of the algorithm is performed by analyzing the modifications of the classical algorithm based on the variable
mutation, under which the mutation probability varies depending on the needs of the algorithm. Results of
numerical experiments showing the advantage of the proposed formulation of the problem for constructing the
architecture of a distributed informationmeasuring system are presented. 




A.L. Balaban
,
Yu. A. Bakhvalov
and
V.V. Grechikhin


The study is devoted to mathematical modeling of magnetic fields of positioning systems, the active
elements of which are made of ferromagnets with shape memory effect. The development of effective systems
of mathematical modeling of threedimensional magnetic fields, necessary at the stage of design of positioning
systems with ferromagnets with shape memory as well as the identification and diagnosis of such systems is
relevant. In this study, one of the ways to increase the efficiency of modeling systems is considered. This is
the application of a combined method combining the finite element grid method for field analysis in nonlinear
calculation subdomains (ferromagnets) and the gridless method of fundamental solutions for calculating the
field in linear subdomains (surrounding ferromagnet space and coils with current). The computational algorithm
is developed on the basis of the mathematical model and the results of the solution of the test problem.
Examples of its application are given. A distinctive feature of the proposed approach is the creation of a
mathematical model of minimum dimension which provides a significant reduction in the calculation time. For
the first time, vector point fictitious magnetic moments are used for the analysis of electromagnetic systems by
the method of fundamental solutions. The new point sources of the field provide higher accuracy of calculation
in comparison with magnetic dipoles. This allows solving the problems of designing positioning systems,
performing their diagnostics in real time. 





A.M. Lankin
,
M.V. Lankin
,
V.V. Grechikhin
and
D.V. Shaikhutdinov


The study describes a method for obtaining weberampere characteristics of the electromagnetic AC devices using the method of naturalmodel tests. For naturalmodel tests of electrical devices a mathematical model implemented in the software package Labview has been proposed. During the research of the method, measuring of weberampere characteristics of the electrical device a toroidal output transformer was carried out. A comparison with the exemplary weberampere characteristic was carried out, the characteristics received using the method based on naturalmodel experiment. It is proposed to assess the degree of difference between these characteristics to use the distance between the two compared characteristics normally to a tangent point created in the analyzed point taken on the exemplary characteristics. The effect of current harmonics measurement error on the metrological performance of the proposed method has been studied. 





