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Finite Distributed Element Method for Fractal Element Analysis Based on Multilayer Resistive-Capacitive Media
Journal of Communications Technology and Electronics ( IF 0.5 ) Pub Date : 2021-01-27 , DOI: 10.1134/s1064226920120062
A. Kh. Gilmutdinov , R. Z. Dautov , P. A. Ushakov

It is shown that the analysis of fractal elements realized on the basis of an inhomogeneous multilayer resistive-capacitive medium using the classical finite element method (FEM) gives unsatisfactory results for normalized frequencies ωRC > 10. A hybrid computational scheme of the FEM based on L-splines as finite elements (FEs), which at each FE are a solution to the differential equation of homogeneous RC-lines. It is proposed to replace one-dimensional and two-dimensional FEs of various shapes (three-, four-, etc., coal) with a corresponding physical equivalent circuit, where the sides of polygonal FEs are segments of a homogeneous RC-line, which we called a one-dimensional homogeneous RC-element with distribution parameters (OH RC-EDPs).Thus, the problem of determining the characteristics and parameters of the investigated fractal element is replaced by the problem of determining the impedance of the resulting electrical equivalent circuit based on the OH RC-EDP. We called this method of analysis the FDEM (finite distributed element method).



中文翻译:

基于多层电阻电容介质的分形有限元分析方法

结果表明,实现了采用经典有限元法(FEM)的不均匀的多层电阻-电容介质的基础上分形元素的分析给出了归一化频率ω不令人满意的结果RC >基于FEM的10.一种混合式计算方案大号-样条线作为有限元(FE),在每个FE处都是齐次RC线微分方程的解。提议用相应的物理等效电路替换各种形状(煤,三,四等)的一维和二维有限元,其中多边形有限元的边是均质RC线的分段,我们称其为具有分布参数(OH RC-EDPs)的一维均质RC元素。因此,确定研究的分形元素的特性和参数的问题被确定最终电等效物的阻抗的问题代替了基于OH RC-EDP的电路。我们称这种分析方法为FDEM(有限分布元素方法)。

更新日期:2021-01-28
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