Title :
The boundary elements modelling of eddy currents in the orthotropic composite
Author :
Pashchenko, Volodymyr
Author_Institution :
Dniepropetrovsk Nat. Univ., Dniepropetrovsk, Ukraine
Abstract :
With the help of the indirect version of boundary elements (BE) method the modelling theory of Cartesian *-projection (*= x,y) of the eddy currents density has been found in the skin of orthotropic composites. Eddy currents have been created by the rectangular magnetic antenna that is parallel to both the plane composite surface and the reinforcement direction. Such antenna has been presented by the set of point sources those are placed in knots of the corresponding above-surface layer of the discretization net. The transition to dimensionless coordinates has been performed separately for Cartesian x- and y-projections of eddy currents density however adequately for space and time axises. Discretization steps are inversely proportional to the composite conductivity along and crosswise to the reinforcement direction. Therefore Nyquist criterion for Fourier spectral functions of passage and reflection characteristics has been satisfied. The peculiarity analysis of spherical waves superposition allows to find point sources influence zones, those have been covered by nonintersected BE.
Keywords :
Fourier analysis; Nyquist criterion; antennas; boundary-elements methods; current density; eddy currents; BE method; Fourier spectral functions; Nyquist criterion; above-surface layer; boundary-elements method; cartesian x-y projections; dimensionless coordinate transition; discretization net; eddy current density; modelling theory; nonintersected BE; orthotropic composite conductivity; passage characteristic; peculiarity analysis; plane composite surface; point source set; point sources influence zones; rectangular magnetic antenna; reflection characteristic; reinforcement direction; space axises; spherical wave superposition; time axises; Antennas; Eddy currents; Integral equations; Magnetic cores; Mathematical model; Surface waves; boundary elements method; dimensionless coordinates; eddy currents; orthotropic composites; point sources;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory (MMET), 2014 International Conference on
Conference_Location :
Dnipropetrovsk
Print_ISBN :
978-1-4799-6863-3
DOI :
10.1109/MMET.2014.6928729