Firstly, from the functional analysis, the eigenfunction series of vectorial partial differential operator is studied. The property of complete space is gotten. And this result is extended to the eigenfunction of Maxwells equations.

本文首先從泛函分析的方法出發(fā)美国特黄视频，研究了矢量偏微分算子本征函數(shù)系的性質(zhì)欧美娇小性XXXXBBBB，得到了矢量偏微分算子正交完備歸一化本征函數(shù)的存在證明2021一级A片免费视频，研究了Maxwell方程組的情況欧美性爱人人操天天干，證明了電磁場在均勻和非均勻介質(zhì)條件下的正交本征函數(shù)系的完備性質(zhì)。

Based on the Maxwell Equation, theoretical formula of microwave permeability and permittivity of polycrystalline iron fibers are introduced.

基于麥克斯韋方程国产在线b，給出了多晶鐵纖維的微波磁導(dǎo)率和介電常數(shù)的理論公式视频国产欧美。

Lame -Maxwell equations of equilibrium have important applications in photoelasticity.

拉密-麥克斯韋平衡方程在光測彈性力學(xué)中具有重要的作用。

Surface plasmon resonances of two-dimensional gold nanoparticles under the electrical dipole source and plane electromagnetic wave(magnetic polarized in z-direction) are investigated.

根據(jù)Maxwell電磁理論欧美色操，探討無限域中二維細(xì)桿形金奈米粒子受到磁場在軸方向極化之平面電磁波與電偶極波源所造成的表面電漿子現(xiàn)象18岁网。

In this topic, the dynamic analysis methods for piezoelectric vibrator are studied systematically based on the theoretical model, FEM numerical experimentation and FEM governing equation for given compound-mode vibrator, and some valuable conclusions are obtained. The main work accomplished is summarized as follows: 1.Elaborate the main modeling methods for piezoelectric vibrator and the significance and necessity to study the dynamic characteristics of piezoelectric vibrator which emphasize the urgency of this paper. 2.Take the bending deformation induced by piezoelectric ceramic as example, the energy transfer mechanism of electric energy to mechanical energy are analyzed; the motion and force transfer mechanism are analyzed for the longitudinal-bending vibrator. 3.Based on mode assumption and Hamilton principle, the coupling model of piezoelectric vibrator of linear USM is built; moreover, the equivalent circuit model is obtained and a coupling equation represents the relation between electric parameters and mechanical parameters is derived which provides foundation to match the vibrator and driving circuit. 4.Combine the constitutive equation of piezoelectric ceramic with elastic-dynamical equation, geometric equation in force field and the Maxwell equation in electric field and the corresponding boundary condition equation, the FEM control equation for piezoelectric vibrator of USM to solve dynamic electro-mechanical coupling field is established by employing the principle of virtual displacement. The equation lays the foundation to study the non-linear constitutive equation of piezoelectric ceramic driven by high-power. 5.Define the dynamic indexes of characteristic of vibrator and carry out variable parameters simulation by calculating the model parameters and the electric characteristics of vibrator are simulated according to the equivalent circuit model. By numerical experimentation, the working mode of vibration of vibrator and the shock excitation results of the working frequency band which provides the mode frequency to realize bimodal are analyzed. Detailed calculation of the electro-mechanical coupling field parameters is made by programming the FEM control equation.

本課題從理論模型、有限元數(shù)值試驗(yàn)、有限元控制模型等方面以復(fù)合振動(dòng)模式振子為例對(duì)超聲電機(jī)壓電振子的動(dòng)力學(xué)特性及其分析方法進(jìn)行了全面系統(tǒng)地研究国产欧美精品综合区，得出了許多有價(jià)值的結(jié)論日韩欧美一区二区三区夜，主要概括如下： 1、闡述了目前針對(duì)超聲電機(jī)壓電振子的主要建模方法A毛片在线，對(duì)壓電振子動(dòng)態(tài)特性的研究意義和必要性進(jìn)行了論述免费黄的网站，突出了本文研究內(nèi)容的迫切性； 2一级做a爰片久久毛片A片久久、以壓電陶瓷誘發(fā)彈性體發(fā)生彎曲變形為例里番ACG※里番_爆乳，分析了壓電陶瓷通過誘發(fā)應(yīng)變來實(shí)現(xiàn)機(jī)電能量轉(zhuǎn)換的機(jī)理；對(duì)基于縱彎模式的壓電振子的運(yùn)動(dòng)及動(dòng)力傳遞機(jī)理進(jìn)行了分析国产精品裸体视频； 3东京久久香蕉精品综合色、基于模態(tài)假定，利用分析動(dòng)力學(xué)的Hamilton原理163无码电影，建立了面向直線超聲電機(jī)壓電振子的機(jī)電耦合動(dòng)力學(xué)模型，并據(jù)此建立了壓電振子的等效電路模型欧美,日韩,日本,在线观看A，導(dǎo)出了電參量與動(dòng)力學(xué)特性參量的耦合方程日本公共厕所www撒尿，為壓電振子與驅(qū)動(dòng)電路的匹配提供了依據(jù)； 4在线日本成本人视频网站、從壓電陶瓷的本構(gòu)方程出發(fā)永久免费AV无码网站大全，綜合力場的彈性動(dòng)力學(xué)方程、幾何方程精品亚洲黄色片、電場的麥克斯韋方程以及相應(yīng)的邊界條件方程国产污片免费网站，采用虛位移原理，建立了壓電振子動(dòng)態(tài)問題機(jī)電耦合場求解的有限元控制方程手机黄网欧美高清，為研究其大功率驅(qū)動(dòng)下的非線性本構(gòu)模型奠定了基礎(chǔ)久久久丰满老熟妇； 5、界定壓電振子的動(dòng)力學(xué)特性指標(biāo)欧美熟妇人妻XXXXX，對(duì)壓電振子的機(jī)電耦合動(dòng)力學(xué)模型參數(shù)進(jìn)行計(jì)算及變參數(shù)仿真欧美曰批视频免费播放免费；依據(jù)等效電路模型，對(duì)壓電振子的電學(xué)特性進(jìn)行了仿真分析黄色网站影视电影黑人视频在线观看；通過有限元數(shù)值實(shí)驗(yàn)91视频国产美女裸体，對(duì)壓電振子工作模態(tài)附近的模態(tài)振型及工作頻率附近的頻段進(jìn)行了激振效果分析，找出了實(shí)現(xiàn)模態(tài)簡并的激振頻率在线观看国产黄AV免费看；利用有限元控制方程欧美性爱特黄色视频，通過編程計(jì)算，對(duì)壓電振子的力電耦合場參數(shù)進(jìn)行了詳細(xì)計(jì)算一级A片免费播放清高视频，得出了一些有價(jià)值的結(jié)論大黄av。

From the Maxwell′s equation,the quasi static electromagnetic field equations in a perfect conductor have been deduced in this paper.The equations are used to analyze two eddy current field engineering problems,and good results are obtained.

本文從麥克斯韋方程出發(fā)，推導(dǎo)出良導(dǎo)體內(nèi)的似穩(wěn)電磁場方程，將導(dǎo)出的電磁場方程用于分析兩個(gè)電磁工程實(shí)例一级片不卡网站，獲得了兩個(gè)工程問題的渦流場解析計(jì)算結(jié)果性交无码视频一区二区。

And Roos, D.,"The Machine that Changed the World", Rawson Associates, New York, and Maxwell Macmillan International, Oxford, 1990

合著的《改變世界的機(jī)器》，紐約羅森聯(lián)合出版社和牛津麥斯威爾·麥克米倫國際出版社99re这里只有是精品，1990年第一版

This means that a general element of the flexibility matrix is known as Maxwell's reciprocal relation.

這意味著丝袜欧洲另类自拍视频在线，對(duì)于柔度矩陣的一般元素是為眾所周知的馬克斯威爾互等關(guān)系。

The FFT of Helmholtz equation on the regular domain is studied. And the multifrontal algorithm is used to solve the matrix equations in computational electromagnetics.Finally, the finite-difference approximate forms of Maxwell equations and the Despres transmission condition are discussed.

為了充分提高算法的計(jì)算效率欧美丝袜特黄大片，研究了規(guī)則區(qū)域上Helmholtz方程的FFT快速算法97AAAAA免费毛片，以及有效地將多波前算法引入計(jì)算電磁學(xué)領(lǐng)域用于求解差分稀疏矩陣方程。

Don't you understand said Maxwell, restively.

"你不懂日韩久久久精品？"馬克斯韋爾倔頭倔腦地說在线污视频国产一区。