【摘要】：復(fù)合介質(zhì)材料是將兩種或者多種性質(zhì)不同的單一成分材料,經(jīng)過(guò)物理或者化學(xué)手段重組構(gòu)成的一種新型材料.它可以保持各種單一成分材料的優(yōu)點(diǎn),克服單一材料的缺陷,從而擴(kuò)大材料的應(yīng)用范圍.現(xiàn)在,人們通過(guò)使復(fù)合介質(zhì)材料的綜合性能優(yōu)于原組分材料來(lái)應(yīng)對(duì)各種不同的需求.對(duì)于復(fù)合介質(zhì)材料特性這一課題的研究一直以來(lái)都是科學(xué)家們鉆研的熱點(diǎn)問(wèn)題,其光學(xué)、磁學(xué)方面的性質(zhì)與應(yīng)用問(wèn)題,更是受到物理學(xué)家的關(guān)心和重視.一種由顆粒狀雜質(zhì)隨機(jī)置于基質(zhì)中而構(gòu)成的非線性復(fù)合介質(zhì)在工程方面的應(yīng)用起到很大的作用.對(duì)于這一類(lèi)復(fù)合介質(zhì)材料來(lái)說(shuō),外加電場(chǎng)對(duì)有效非線性響應(yīng)產(chǎn)生很大的影響.對(duì)于不同的外加電場(chǎng)作用下,有效性響應(yīng)也不同.因此對(duì)于這類(lèi)復(fù)合介質(zhì)有效性響應(yīng)的研究具有非常重要的意義.本文運(yùn)用攝動(dòng)展開(kāi)方法,分別探究在外加交流電場(chǎng)E_a=E_1 sin(ωt) +E3 sin(3ωt)作用下,由柱形帶梯度涂層雜質(zhì)、球形帶梯度涂層雜質(zhì)隨機(jī)嵌入基質(zhì)分別構(gòu)成的兩類(lèi)非線性復(fù)合介質(zhì)的有效非線性交流電響應(yīng),分別給出復(fù)合介質(zhì)在雜質(zhì)核、涂層及基質(zhì)區(qū)域的電勢(shì)分布,并在低雜質(zhì)濃度下給出復(fù)合介質(zhì)有效的非線性交流電響應(yīng)以及它們之間的關(guān)系.本文主要探究的內(nèi)容如下;1.簡(jiǎn)要概述復(fù)合介質(zhì)有效非線性交流電響應(yīng)的研究背景、現(xiàn)狀以及本文的主要研究?jī)?nèi)容.2.利用攝動(dòng)展開(kāi)方法,在外部交流電場(chǎng)E_a=E_1 sin(ωt) +E3 sin(3ωt)的作用下分別探討兩類(lèi)帶有梯度涂層的球形和圓柱形顆粒狀雜質(zhì)無(wú)規(guī)則置于基質(zhì)中從而構(gòu)成的非線性復(fù)合介質(zhì)的有效非線性響應(yīng)問(wèn)題,分別給出兩類(lèi)復(fù)合介質(zhì)在雜質(zhì)核內(nèi)部、涂層及基質(zhì)區(qū)域的電勢(shì)分布.3.在雜質(zhì)濃度較低的情形下給出在基波頻率及三階諧波頻率下非線性復(fù)合介質(zhì)所有的有效非線性交流電響應(yīng)及其各系數(shù)間存在的聯(lián)系.4.對(duì)本文所得結(jié)果討論并總結(jié),并對(duì)下一步的研究工作進(jìn)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.
【學(xué)位授予單位】：內(nèi)蒙古工業(yè)大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：TB33

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