有限元法

This paper improves the iterative format of the symmetric successive overrelaxation PCG method,as a result the computation is reduced by 8%～50%.This paper also presents some key subroutines for application of the SSOR PCG method to the solution of finite element equations.

本文改进了对称逐步超松驰预处理共轭梯度法的迭代格式，可节省计算量8％～50％，并给出应用SSORPCG法求解有限元方程组时的几个关键子程序。

Edge Based Finite Element Method is combined with overlapping or nonoverlapping overrelaxation Domain Decomposition Method and Boundary Integral Equation for analyzing the electromagnetic scattering of electrically large open-ended cavities.

摘要该文将超松弛重叠及非重叠区域分裂法与矢量有限元方法、边界积分方程法相结合对三维电大尺寸开口腔体的电磁散射特性进行分析。

At the same time a special mechanical testing apparatus was designed to test the mechanical capability for support structure using the methods of photoelasticity and resistance strain gauge measurement. The experimental data indicated that the results of finite element analysis were coincident with experimental test results, It also has been proved that the present design for the support system of HT-7U vacuum vessel is reasonable and feasible.

同时还专门设计一套真空室支撑结构力学实验测试平台，利用光弹贴片法和电阻应变计测量法，对该结构进行全面的力学性能测试，不仅验证有限元分析结果的可信性，而且还进一步证实HT-7U真空室支撑结构设计的合理性和安全性。

With the combination of the ray tracing method and proportional spacing method, and by using the parameterized design language APDL of the finite element analysis software ANSYS, a 3D model for the extrusion die runner was established.

采用射线法和比例间隔法相结合的方法，利用有限元分析软件ANSYS的参数化设计语言APDL ，建立了挤出口模流道的三维模型。

Meshless method is a kind of method with good prospection, it can deal with many problems which can not be resolved by traditional method (finite element method, finite difference method).

无网格法是一种前景广阔的方法，能够解决许多其他传统方法（如有限元方法、有限差分法等）所不能解决的问题。

We will introduce nonlinear initial method, stress density method and dynamic relaxation method which are the most popular methods in our country.

该文介绍的非线性有限元分析方法，力密度法以及动力松弛法都是国内外较为常用的张拉膜结构设计方法。

A 3-D finite element system of lumbar L4-5 was sectionally constructed with Mimics software system by lumbar CT images. The system was turned into a finite element system of degenerative lumbar by modified it's material parameter. The lumbar rotatory manipulation was decomposed by principium of manipulation. The parameter of mechanics was analyzed with the finite element system.

使用腰椎CT片，以Mimics软件系统逐层重建L4-5三维有限元模型，通过设定结构的参数完成退变腰椎间盘模型将向右侧旋转的坐位腰椎旋转于法进行分解，把各项力学参数代人模型进行计算分析即时显示于法作用时退变腰椎间盘的内在应力和位移的变化。

In this course three-dimensional finite element method is used to calculate the stress and deformation of the metal structure.The influence coefficient method is adopted to obtain the expression between the load and the offect ,and form the limit state equation of all failure mode.Finally.corresponding reliability indices are obtained with the JC method under truncated distribution.

在此过程中，运用三维有限元计算了门机金属结构的应力和变形，采用影响系数法，建立起荷载与荷载效应的显式关系，进而建立了各失效模式的极限状态方程，再用可截尾处理的JC法求出相应的可靠指标。

It adopts Reynolds time-average N-S equation and k-s turbulence model to calculate the inner 3-D viscid turbulence flow of hydraulic turbine. In the unstructured grid, the governing equations are discredited with Finite Volume Method based on Finite Element Method. And the pressure correction method is proposed in numerical calculations.

然后采用基于雷诺时均N-S方程与标准k-ε湍流模型来计算水轮机三维粘性湍流场，在非结构化网格中，采用基于有限元的有限体积法对方程进行离散，用压力校正法进行数值求解。

Through the research of direct search method based on 3D FEM, and its application for the tunnel slope stability analysis, the objectives of this work in this paper are as follows:1. The dynamic programming as well as its application for 3D side slope stability analysis is studied. With the introduction of graph theory concept, one kind of glide pattern of 3D slope is constructed, and the critical slip surface with smallest safety factor is searched with the aid of one auxiliary function including safety factor;2. Using the C++ programming language, the 3D slope stability analysis and the direct search procedure is established, and this method is testified applicably by some contrast analysis, also some influence factor in analysis is discussed;3. Integrated with the different actual situation in tunnel slope, considered its excavation, timbering and rain infiltration, its stability influence and rule is researched used this method, also some processing measure is proposed.

本文通过对三维有限元直接搜索法的研究，并将其应用于隧道边坡的稳定性分析中，主要的研究内容有：1、研究了动态规划原理及其在三维边坡稳定性分析中的应用，引入图论概念，构筑出一种边坡三维滑裂面的滑动模式，借助一个包含安全系数的辅助函数并通过动态搜索求得临界滑裂面与最小安全系数；2、采用C++程序设计语言，编制出边坡三维稳定性分析以及直接搜索法的程序，通过一些算例的对比分析，验证本文方法的适用性，并讨论了三维分析中的一些影响因素。3、结合隧道边坡的不同实际情况，考虑施工开挖过程、衬砌结构及降雨渗流等方面的因素，利用本文方法研究对其稳定性的影响和规律，并提出处理措施

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。