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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。

It contains boththe finite element equations and finite difference equations in one equation.

拟协调元法是广义协调方程的解,自然满足平衡对弱连续条件的要求。

To gain some idea of the accuracy of the finite difference equation, we have used the system (14a)-(14c) with the initial E, being a half sine wave for the case of no obstacle.

获得一些想法的正确性有限差分方程,我们所使用的系统(14a的规定)-(14c)与最初的E、半正弦条件下的任何障碍。

Based on the spherical harmonic functions expansion and finite difference for discretization of transport equation, an inverse power scheme is presented for calculation of the k-eigenvalue problem.

基于球谐函数展开和有限差分离散,给出了中子输运方程的源项反演逼近的反幂算法,该方法的优势是在适当的初值条件下可以显著提高计算速度。

Finite difference wave equation without boundary conditions of second-order forward time-slicing procedure.

详细说明:有限差分波动方程不加边界条件二阶正演时间切片程序。

Shear stress is calculated based on Brinkman equation using the finite volume method with proper boundary conditions.

可渗透圆柱及圆柱阵列之间的间隙物使用具有不同渗透率的多孔介质模型,基于Brinkman方程,配以适当的边界条件,采用有限体积法进行数值求解。

Next, through a finite iteration of the solution sequence, an approximate solution of the optimal output-tracking control problem is obtained.

首先根据原系统最优输出跟踪控制问题构造了两个分别具有已知初始条件和终端条件的微分方程迭代序列,并证明它们一致收敛于原问题的最优解。

Based on the exergy transfer equations, exergy transferring in the steady heat conduction process are calculated for the infinite plate at the first type boundary condition, and two results are compared when conductivity is stable and changed with temperature in this paper.

利用一维稳态传递方程,对平壁在第一类边界条件下的一维稳态导热过程的传递做了数值计算,并就导热系数为定值与变值的两种计算结果进行了比较。

For the comparison equations, the sufficient conditions for the existence of nonoscillatory solutions are also given by using fixed point theorem.

对于比较方程,也用不动点定理给出了非振动解的存在的充分条件。

By using the fixed point index theorem, several sufficient conditions for the existence of at least one or infinte positive solutions are obtained.

利用不动点指数定理研究了一类二阶非线性常微分方程的三点边值问题正解的存在性问题,得到了至少存在一个或无穷多个正解的几个充分条件。

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