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Using the ESG with eight electrodes, the paper gave the formulas of electrode capacitances, introduced the detection and solution of rotor motion, and then deduced the formulas of electric field forces.

八电极静电支承系统沿着四个非正交轴对转子施加静电力，这些作用力相互影响，因此需要对支承坐标进行垂直解耦。

Firstly, according to electromagnetic field theory, the 2-dimensional (2-D) mathematical model of a three phase squirrel-cage Y802-2 induction motor is developed. Then general equations can be deduced from finite element discrete and functional analysis. The motor's 2D solving region of electromagnetic field is given based on the boundary conditions and assumption conditions of the squirrel-cage induction motor. Through finite element mothod and inner–outer convergence method, magnetic field distributions and magnetic forces of bars can be calculated in following rotor conditions: health rotor, one single broken bar, two adjacent broken bars, two broken bars with one good interval, two broken bars with two good interval and four adjacent broken bars.

本文首先根据电磁场理论建立Y802-2型三相笼型感应电动机二维电磁场的数学模型，并对其进行了有限元离散以及泛函分析，推导出总体方程；在基本假设和边界条件基础上，给出笼型感应电动机二维电磁场的求解区域，然后应用有限元并结合内外双收敛方法，对样机稳态运行进行数值计算，得出电机在转子完好、一根导条断裂、连续两根导条断裂、间隔一根两根导条断裂、间隔两根两根导条断裂及连续四根导条断裂六种情况下的磁场分布和导条所受电磁力的变化情况。

With the Consideration of capillary pressure and its hysteresis effect, the finite element equation with semidiscretized method is deduced.

本文用半离散的方法对数学模型进行了有限元方程推导，并在数值模型中考虑了毛管压力的作用以及其滞后效应。

While the second order full extension ETG finite element method is applied to solve the problems concerned with natural convection and forced convection, different discretization schemes are deduced respectively. Then the equations are solved by using the technology of variable bandwidth and mass diagonal matrix.

详细推导了应用二阶全展开ETG有限元法求解自然对流和强制对流问题时的有限元列式，并应用压力校正法与质量矩阵对角化及变带宽压缩存储技术对方程进行求解。

At first, using paraxial approximation method, the orthogonal vector wave functions in the quasi-optical cavity are deduced.

它是涉及到器件、电磁场理论、天线理论和计算技术等方面的一项综合技术。

A formula of the frequency change has been deduced from the wave equation to the first order approximation.

从波动方程出发，导出频率改变的一级近似公式。

The quasi-analytical expressions of the relative concentrations at the mobile region and the immobile region are deduced respectively by using hypergeometric equation, hypergeometric function and the method of Laplace transform under the initial concentration zero and the first or second boundary condition of a semi-infinite one-dimensional space.

并分别在初始浓度为零，半无限一维空间内第一类边界条件和第二类边界条件下，利用超几何方程、超几何函数和Laplace变换法推导出了可动区和不动区溶质相对浓度的准解析表达式。

In chapter 2, a tangent stiffness matrix formula of four-node C〓 element for the laminated plate is deduced, which is based on the first order shear deformation theory and the Von-Karman nonlinear deformation assumption.

第二章首先给出了在一阶剪切效应和Von-Karman大挠度理论下复合材料层合板的几何关系，然后基于单元域内和边界一致概念，推导了在大变形下"无剪切闭锁"的层合板单元切线刚度阵，并给出了复合材料层合板后屈曲分析的有限元平衡方程。

In chapter 2, a finite element model for the composite sandwich plates is developed, based on the Zig-Zag deformation assumption and the first order shear deformation theory, and the finite element buckling analysis governing equations for the plates under mechanical, thermal and/or thermal-mechanical mixed loads are deduced respectively. By Von-Karman nonlinear deformation relations and Total Lagrange formulation, an incremental governing equation for postbuckling analysis is established and a corresponding effective computational scheme is presented..

第二章首先建立了基于Zig-Zag截面变形假定和Mindlin一阶剪切理论的夹层板有限元分析模型，分别推导了夹层板机械力、热载和热—机械力耦合屈曲分析的有限元列式和相应的屈曲前以及屈曲临界状态的平衡方程，基于Von-Karman大挠度理论，采用增量形式的全局lagrangian法推导了复合材料夹层板增量形式的几何非线性有限元离散平衡方程，给出了一种有效的非线性平衡方程的迭代求解格式。

Deduced Flanders technical strength and artistic style.

演绎出佛兰德的技术实力和创作风格。

The teacher likes the honeymouthed little girl very much.

老师很喜欢这个嘴甜的小姑娘。

Mr. Notker Bien's interests are traveling, spending quality time with the family and long-distance-running.

诺特卡·柏恩先生热爱旅游，长跑，以及和家人一起共度美好时光。