一类梯度涂层复合介质材料的有效非线性交流电响应

发布时间：2018-09-17 12:16

【摘要】：复合介质材料是将两种或者多种性质不同的单一成分材料,经过物理或者化学手段重组构成的一种新型材料.它可以保持各种单一成分材料的优点,克服单一材料的缺陷,从而扩大材料的应用范围.现在,人们通过使复合介质材料的综合性能优于原组分材料来应对各种不同的需求.对于复合介质材料特性这一课题的研究一直以来都是科学家们钻研的热点问题,其光学、磁学方面的性质与应用问题,更是受到物理学家的关心和重视.一种由颗粒状杂质随机置于基质中而构成的非线性复合介质在工程方面的应用起到很大的作用.对于这一类复合介质材料来说,外加电场对有效非线性响应产生很大的影响.对于不同的外加电场作用下,有效性响应也不同.因此对于这类复合介质有效性响应的研究具有非常重要的意义.本文运用摄动展开方法,分别探究在外加交流电场E_a=E_1 sin(ωt) +E3 sin(3ωt)作用下,由柱形带梯度涂层杂质、球形带梯度涂层杂质随机嵌入基质分别构成的两类非线性复合介质的有效非线性交流电响应,分别给出复合介质在杂质核、涂层及基质区域的电势分布,并在低杂质浓度下给出复合介质有效的非线性交流电响应以及它们之间的关系.本文主要探究的内容如下;1.简要概述复合介质有效非线性交流电响应的研究背景、现状以及本文的主要研究内容.2.利用摄动展开方法,在外部交流电场E_a=E_1 sin(ωt) +E3 sin(3ωt)的作用下分别探讨两类带有梯度涂层的球形和圆柱形颗粒状杂质无规则置于基质中从而构成的非线性复合介质的有效非线性响应问题,分别给出两类复合介质在杂质核内部、涂层及基质区域的电势分布.3.在杂质浓度较低的情形下给出在基波频率及三阶谐波频率下非线性复合介质所有的有效非线性交流电响应及其各系数间存在的联系.4.对本文所得结果讨论并总结,并对下一步的研究工作进行展望.
[Abstract]:Composite dielectric material is a new material which is composed of two or more kinds of single component materials with different properties by physical or chemical means. It can maintain the advantages of all kinds of single component materials, overcome the defects of single materials, and expand the application range of materials. Nowadays, the comprehensive properties of composite dielectric materials are superior to those of raw materials to meet different demands. The research on the properties of composite dielectric materials has always been a hot topic for scientists. The properties and applications of their optical and magnetic properties have been paid more attention to by physicists. A nonlinear composite medium composed of granular impurities placed randomly in the matrix plays an important role in engineering applications. For this kind of composite dielectric materials, the external electric field has a great influence on the effective nonlinear response. For different external electric fields, the effectiveness response is also different. Therefore, it is of great significance to study the effective response of this kind of composite medium. In this paper, the perturbation expansion method is used to investigate the impurity coated by column gradient coating under the action of E_a=E_1 sin (蠅 t) E 3 sin (3 蠅 t). The effective nonlinear alternating current responses of two kinds of nonlinear composite media composed of two kinds of nonlinear composite media with spherical gradient coating impurity are randomly embedded into the matrix. The potential distributions of the composite medium in the impurity core, coating and matrix region are given respectively. At low impurity concentration, the effective nonlinear AC response of the composite medium and their relationship are given. The main contents of this paper are as follows. The research background, current situation and main research contents of effective nonlinear AC response of composite medium are briefly summarized. Using the perturbation expansion method, Under the action of external alternating current field E_a=E_1 sin (蠅 t) E 3 sin (3 蠅 t), the effective nonlinear response of two kinds of spherical and cylindrical granular impurities with gradient coatings placed irregularly in the matrix is discussed, respectively. The potential distribution of the two kinds of composite media in the impurity nucleus, coating and matrix region is given respectively. In the case of low impurity concentration, the effective nonlinear AC response of all nonlinear composite media at fundamental and third-order harmonic frequencies and the relationship between their coefficients are given. The results obtained in this paper are discussed and summarized, and the future research work is prospected.
【学位授予单位】：内蒙古工业大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TB33

【参考文献】