TY  - JOUR
T1  - Mathematical Modeling of Magnetic Fields of Actuators with Hape Memory
Effect by a Combined Finite Element Method and Fundamental
Solutions with Point Magnetic Moments
AU - Balaban, A.L. AU - Grechikhin, V.V. AU - Bakhvalov, Yu. A. 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 16
SP  - 5670
EP  - 5677
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.5670.5677
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.5670.5677
KW  - magnetic
moment
KW  -combined mathematical model
KW  -finite element method
KW  -Method of fundamental solutions
KW  -magnetic dipole
KW  -computational algorithm
KW  -positioning systems
KW  -magnetic shape memory
alloys
AB  - 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 three-dimensional 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.
ER  -