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Research in predicting and modeling microstructural changes in a workpiece using FEM is in progress.

利用有限元分析的方法预测和还原工件的微观结构变化尚待进一步发展。

To obtain the stress and temperature of the miler and workpiece in the steel roiling process, commercial FEM program LS-DYNA had been used to analyze the parallel roiling process and the approach was based on three dimensional thermal mechanical coupled finite element method under the condition of using elastic roller.

为得到轧制过程中轧辊、轧件的应力、温度分布，采用有限元软件LS-DYNA，通过三维热力耦合弹塑性有限元方法，在轧辊为弹性体的条件下，对钢材的平辊热轧过程进行了仿真分析。

And the numerical control system was developed, which can edit and execute G-code. Furthermore, the mechanics characteristics of micro milling cutter was analyzed using FEM.

开发了可编辑和执行G代码程序的数控系统，并利用有限元法对微细铣刀的力学特性进行分析。

On the basis of FEM and modal analysis of the bracket system, a reasonable optimum model is built, which considers manufacturing constraints and mode control.

在保证结构质量不增加的前提下，利用拓扑优化技术实现了发动机排气系统固有频率的优化设计。

Firstly, the 3D solid model of the analyzed object is built directly in the FEM software ANSYS 8.0 without using other CAD software. The influence of the side sizes of solid elements on computing results and the influence of coupling ways between different parts on the modal parameters are researched by simply modeling. And a new connecting method about joints in ANSYS is proposed and applied to finite element modeling of the test-bed for spindle system. Furthermore, several different computing techniques for modal parameters extraction are compared in solving the finite element model of spindle system test-bed. Many modal solutions are also done to achieve the relationships between the whole or part stiffness value and computed modal parameters. The laws about joint rigid parameters" influences on modal parameters are discussed by means of altering their values for conjoint parts. And by changing local rigid parameter values, the different location selections" influence on computed modal parameters is also studied.

本文通过使用ANSYS 8.0软件直接建立研究对象的实体结构模型，而没有借助其他的CAD软件；通过构建简单的模型研究实体单元边长大小对计算结果的影响，部件之间不同的联结方式对模态参数的影响，探讨在ANSYS中实现结合部的方法，提出一种新的联结方法，并建立主轴系统试验台的有限元模型；对建立的主轴系统试验台有限元模型求解，比较几种不同模态提取方法；通过改变结合部联结单元的刚度参数进行的计算，寻找联结刚度对模态参数变化的影响规律；改变局部联结单元的刚度参数，研究刚度值位置差异对计算模态参数的影响。

By using the solid FEM and the method decided in this thesis respectively, the vibration mode of crankshaft hi the one-cylinder engine is simulated. Results of two methods are very similar.

最后，为使本文的方法得以推广与应用，采用VC++6.0结合ANSYS与MatLAB编制了一个及模拟、计算和分析于一体的应用软件系统。

From the point of vertical interconnect via, the matrix pencil moment method, FDTD, edge-element FEM, microwave network model method and CAD model method of vertical via interconnect were introduced. The analysis of these methods shows their advantages and shortcomings.

从垂直互连通孔入手，介绍了垂直通孔互连的矩阵束矩量法、时域有限差分法、边基有限元法以及微波网络模型法和CAD模型法，分析了这些方法已经取得的结果，并指出了这些方法的优缺点。

As an application, we present the coupling of FEM and natural boundary element.

作为应用，我们也研究了无限扇形区域的有限元与自然边界元耦合法。

To couple the method with FEM,discrete nodal line is introduced,and applied toSDTFM.With a similar process as SNDTFM,we can deduce a refined SNDTFM.

为适应复杂区域问题的求解，本文提出了离散结线的概念，将其应用到条形数值分布传递函数方法中，实现了与有限元方法的分区耦合。

The modeling theories on dynamics of flexible multibody system are reviewed.In chapter 2, the geometric nonlinear relationship between strain and displacement is utilized in describing the nonlinear displacement field. The FEM discrete model of the arbitrary flexible beam in non-inertial frame is derived by the Kane's method.

第二章从几何非线性应变-位移关系描述非线性变形场，使用有限元方法离散三维任意截面柔性梁，用Kane方法对离散的模型建立动力学方程，并通过算例验证了算法的正确性和可行性。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。