有限元法

Many typical problems are studied and compared with boundary collocation method, traditional finite element method and analytical methods. The results indicate that the method is accurate and simple for stress intensity factor computation and is easy to be used in practical engineering.

文中作了大量的裂纹应力强度因子计算，与边界配置法、传统有限元法以及解析法进行了系统的比较，结果表明该方法用于应力强度因子计算不但精度较高，而且简便易行，便于工程实际应用。

2In view of the shortcoming of current analytical calculation method in solving inclined hanger cable suspension bridge,improved segmental catenary curve was put forward and nonlinear formulation group to fix on configuration of main cable of inclined hanger cable suspension bridge was deducd.Further more,a more efficient and simple FEM calculation method was obtained through establishing parameter calculation model and dynamic forecast.

2针对现有的计算悬索桥成桥主缆线形的解析计算方法在计算斜吊杆悬索桥方面存在的缺陷，提出了改进的分段悬链线计算方法，并导出了确定斜吊杆悬索桥主缆成桥线形的非线性方程组；然后针对原有的非线性有限元法计算复杂、计算效率低下的问题，采用基于ANSYS的APDL语言通过建立参数化的计算模型，并利用动态预测的方法总结出了一种效率高、操作简单的有限元计算方法。

On the other hand, finite difference and finite element methods use bases with small compact support but poor continuity properties.

小波基函数在空间域和频率域中都具有局部性特征，它的性质优于有限差分法、有限元法和伪谱法中所用的基函数。

The program can analyze the simulate the process of construction, and consider the three dimensional Biot concretion.

将有限元法应用于复合地基，编制了模拟施工过程和考虑土体三维Biot固结的有限元分析程序。

The structure feature of the sensor was described in comparison with the classical Stewart platform-based six-component force sensor.By using the finite element method,the elastic dynamics theoretical model of the sensor was established based on the conditions of displacement consistency and force balance.According to this model,the numerical analysis was carried out,and the variety relationship curves between the natural frequencies and the structural parameters are plotted.

描述了该传感器相对于经典Stewart平台六维力传感器所具有的结构特点；利用有限元法，采用位移协调和力平衡条件建立了传感器弹性动力学理论模型，依此模型进行数值分析，绘制了固有频率与各结构参数间变化关系曲线；并利用ANSYS软件建立了传感器有限元模型，进行了振动模态分析，得到其固有频率和振型。

The variation transformation characteristics of three main joint methods (lap joint, butt joint and cornel joint) were analyzed.

通过建立基于多点约束的连接点模拟和装配面接触效应模拟的有限元模型，研究了三种典型装配接头结构对偏差变化的影响特征，揭示了偏差变换非线性的机理，并提出将Monte-Carlo方法与有限元法结合起来进行装配偏差变换的计算。

The shape-form analysis and load analysis were done by nonlinear FEM. On the basis of surface FEM grid nodes, geometry property research of structure curved surface was progressed, including normal vector, GAUSS curvature, mean curvature and principal direction vector. In this process, the approximate expression of surface didn't need to he known.

采用非线性有限元法进行了膜结构的形态分析和荷载分析，得到了曲面有限元网格；通过离散微分几何方法，研究了薄膜结构曲面的几何性质，包括曲面的法线向量、高斯曲率、平均曲率和主方向矢量，避免了复杂的曲面拟合过程。

An electromagnetic numerical analysis, set finite difference method, finite element method and the method of moments as one basis for teaching materials.

详细说明：一本的电磁数值分析方面的，集有限差分法，有限元法和矩量法为一体的基础教材。

In this paper a new variational method for approximating the semilinear singular parabolic equation is given by using continuous finite elem...

本文利用连续时空有限元法对半线性奇异抛物方程进行了研究，利用线性化方法给出了有限元解的存在性证明和理论误差估计。

At present, although finite element methods is a kind of effective measures in analyzing metal plastically forming problems with friction, dynamic friction in the process of metal forming is substituted with static friction and constant frictional force as one of independent constraint conditions is transposed to equivalent node-load or FEM unit is divided into contact unit and inner unit in numerous studys and applications, so that it result in relative bad accuracy and awkward operation. These defects mostly attribute to the fact that FEM bases on the variational equality principles, however frictional constraint will actually result in variational inequality energy functional.

目前，应用于分析金属塑性成形的有限元法是一种有效的处理摩擦效应的定量计算方法，但是许多应用和研究是用常摩擦来代替金属塑性成形过程中的动态摩擦；把常摩擦力作为单独的约束条件移置到等效结点载荷上或把有限元单元划分成接触单元和内单元，这些将导致解的精度相对不高及实际操作不方便等一系列问题，产生这些不足的重要原因之一在于它的理论基础是变分等式原理。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。