查询词典 calculus of finite difference

Using the fluid mechanics theory, the Gauss filtration governing equations are presented based on the incompressible Navier-Stokes equation in primitive variables, which are discretized using standard third-order accurate Galerkin finite element scheme in space and discretized using finite differencing scheme in time.

为了考证数值模拟结果的正确性，对水泥在圆弧弯管中的气力输送气固两相流动采用了等速取样和等截面法进行了三种工况的试验研究。试验结果表明，竖直上升弯管出口颗粒浓度在弯管外侧脊线附近颗粒浓度特别高，其余部分相对比较均匀且浓度较低。

Basing on the transfinite mapping concepts, the present author developed a program system with an automatic mesh generator for 2-dimensional finite elements and graphical display, which is capable of generating various types of element meshs including that of 4-node, 8-node and 9-node quadrilateral elements, automatically deals with boundary conditions and load information, so that it is convenient to apply finite elament method to practical engineering problems.

利用超限映射理论，建立了一个二维有限元网格自动生成和图形显示为一体的程序系统。该系统能生成多种类型的单元（4节点、8节点、9节点），自动处理边界条件和荷载信息，使有限元法能方便地运用于实际问题。

In order to analyse the structural reliability by stochastic finite element method rapidly and efficiently, a method combined with finite element method and gradient optimum algorithm based on ANSYS is presented when referring to the geometric interpretation of structural reliability index.

为快速、高效地进行基于随机有限元法的结构可靠度分析，从结构可靠性指标的几何意义出发，提出了在ANSYS平台上采用有限元法和梯度优化算法相结合的方法进行可靠度分析的构想，对ANSYS进行二次开发实现了该方法。

According to the nonlinear finite element theory, the basic principle of the finite element method about geometrical nonlinearity and material nonlinearity is analyzed.

依据虚功原理和增量理论，研究了与几何非线性和材料非线性相关的有限元基本理论，并将其引入张弦梁的非线性力学分析中，建立该结构的非线性有限元分析理论和计算方法。

The finite element analysis is applied to the frame of a 8 t truck based on ANSYS. The geometrical model and the finite element analysis model with the solid92 element are built. Based on the models, the stress and deformation of the frame are calculated. It may be applied for the improvement of the frame.

利用ANSYS软件对车架进行有限元分析，以某8t载货汽车为例，建立了车架结构的几何模型和以体单元solid92为基本单元的车架有限元分析计算模型，对该车架在载荷作用下的应力和变形进行了计算，可为车架的结构改进提供依据。

Objective: The purpose of this study is to develop a systemic and geometrical detailed three-dimensional finite element model based on the healthy human foot and investigate the foot inner biomechanical properties during balanced standing using a static finite element analysis.

目的：建立一个基于健康人体的、系统的、具有高度几何相似性的足部三维有限元模型，并用此模型静态地分析人体双足站立相时的足部内部的生物力学特性，量化足部内部的应力/应变状况、足部内侧纵弓变化等。

Modify the model by FreeForm software and dissecte the model of haunch bone; import the 3D visible model of haunch bone into Ansys8.0 software. Add mechanics parameter to the haunch bone model, construct 3D finite element model of acetabulum. 2、On the base of common fracture line of acetabular posterior wall fracture in clinical cases, split the acetabular 3D finite element model according to 1/3, 2/3, 3/3 areas fractures of posterior wall after simplify setting, obtain four types of acetabular posterior wall fracture model(including normal condition of acetabulum).

按髋臼骨折Letournel分类标准并根据临床髋臼后壁骨折病例常见骨折线位置，进行简化设定，依次按后壁1／3，2／3，3／3面积骨折将髋臼三维有限元模型后壁进行拆分，获得三种髋臼后壁骨折状态的有限元模型；再模拟双足直立位对髋骨约束设定，分别对后壁正常及不同面积骨折状态模型进行加载，获取各模型应力分布图并记录臼顶负重区、髋臼前壁和剩余后壁在不同后壁骨折状态下应力分布大小及改变。

Chapter 4 puts up the basic theory of non-linear finite element calculation methods and deduces calculation iterative formula and relevant accelerating iterative format. In the calculation of non-linear finite element, yielding element calculation is a difficult problem,"fictitious elastic stress" methods propounded in this paper puts the axe in the helve.

第四章提出了非线性随机有限元法的基本理论，并推导了计算迭代公式，为加快计算速度，提出了相应的加速迭代格式，对于基于非线性随机有限元的可靠度计算中，屈服单元的计算方法是一个难题，本文提出了"虚拟弹性应力"法，较好的解决这个难点。

The fatigue is analyzed for the SENT specimen of TA6V titanium alloy at different stress ratio and on different stress level by the general finite element analysis software ANSYS. The dangerous fatigue location is predicted by the nodal stress Y-direction of the hemicycle notch for TA6V titanium alloy SENT specimen. Based on the local stress-strain method and the material S-N graph, the nominal stress-strain of the specimen is converted to the local stress-strain of the dangerous location by the elastic and plastic finite element analysis, thus the fatigue life is estimated by Miner fatigue damage accumulation theory and compared with the fatigue test of small crack growth.

借助大型通用有限元分析软件ANSYS对TA6V钛合金SENT试样在不同应力比和不同应力水平下进行疲劳分析，根据SENT试样缺口处的应力状态分布预测疲劳危险部位，采用局部应力应变法，结合材料循环的S-N曲线，通过弹塑性有限元法将构件上的名义应力谱转换成危险部位的局部应力应变谱，从而根据危险部位的局部应力应变历程采用Miner累积损伤理论对构件的疲劳寿命进行估算，并与疲劳小裂纹试验数据进行比较分析。

In chapter two, the basic knowledges of finite state automata and finite homogeneous Markov chain are introduce.

第二章，介绍有限状态自动机、有限齐次马尔可夫链及随机系统的基础知识。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。