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分形分析方法在电树枝结构研究中的应用

, PP. 14-20

Keywords: 电树枝结构,计盒分形维数,局部分形维数,电树枝分类

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Abstract:

聚合物绝缘材料中电树枝结构复杂多样,不同结构电树枝具有不同的分形维数。本文利用Matlab编程,采用计盒维数法对不同结构形状电树枝图像的分形进行了分析计算。计算结果表明电树枝形状越复杂,其计盒分形维数和局部分形维数越大。在二维平面上,电树枝的计盒分形维数越小,其发展空间越大,发展速度越快。不同结构电树枝的稳定局部分形维数分布在一定的范围内,因此可以从分形维数理论上对不同结构形状的电树枝进一步进行分类。本文基于所提出的方法,分别对聚乙烯及聚乙烯/蒙脱土纳米复合材料中不同生长阶段和复杂结构的电树枝进行了分析计算。

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