查询词典 finite dimensional

Based on three dimensional transient heat conduction equation and elastic stress-strain equation, the temperature rise, distortion and equivalent stress distribution of white bijou window irradiated by high power annular beam (λ=1.315 μm) are simulated using a three dimensional finite element model.

基于三维瞬态热传导方程和弹性应力－应变方程，研究了空心环形强激光束（波长1.315μm）辐照下白宝石窗口温度、变形和应力的分布规律；研究了空心矩形强激光束（波长3.8μm）辐照下氟玻璃窗口温度、变形和应力的分布规律。

The necessity of the 3-dimensional modeling of the human foot-skeleton is discussed,and considering its characteristics such as being small and having complex shapes and a large quantity of bones and joints,the approach to the 3-dimensional finite element modeling of human foot-skeleton based on CT images with the thickness of 2 mm is studied.

讨论了建立人体足部骨骼有限元模型的必要性；针对其形状复杂、数量多、体积小和关节多的特点，分析探讨了基于2 mm层厚的CT图像建立人体足部骨骼三维有限元模型的主要途径。

Through examining and analyzing of the crack in corbel of bridge of Dangtu road in Hefei, a strengthening scheme to paste the steel plate is put forward. The theory of non-linear finite is adopted to analyze the scheme with three dimensional finite element. The result of stress at the crack point which has been reinforced is also made clear.

通过对合肥市当涂路桥牛腿裂缝诊断分析，提出外贴钢片的加固方案，并基于非线性有限元法基本理论，对加固方案进行三维数值分析，给出了片材加固后的牛腿裂纹尖端应力的效果分析。

The model was merged.Result:An ideal three-dimensional finite element model of the PFM crown for the upper cuspid was constructed.Conclusion:The constructed 3-DFE model was quick and accurate and could be applied as a new method in the dental research. cuspid ; finite element ; porcelain fused to metal

材料和方法1实验器材与软件环境：OPTIPLEX GX260商用台式机(处理器Intel Pentium IV2.0G，内存容量1GB，硬盘80G，操作系统Windows2000)；三维照相测量仪(3DSS)(上海数造机电科技有限公司)；Geomagic studio8(raindrop公司，美国)；Imageware12Unigraphics NX4.0；Algo

It is usually that the solution for the Dirichlet problem can not be obtained actually. With the development of computers, people pay more and more attention to the numerical solution. Many ideas and methods have appeared. Among them the finite element method has become most popular. But the finite element method has some weaknesses and limitations too. First, it is not fit to higher-dimensional problems.

绝大多数Dirichlet问题的解析解往往难以得到，随着计算机技术的发展，Dirichlet问题的数值解法越来越受到人们的重视，新的思想和方法不断涌现，其中有限元法已经发展成为目前求解Dirichlet问题的最主要的数值方法，但是有限元法解决该问题时，存在着一些弱点和局限。

The use of ANSYS finite element software to establish a large-scale Decanters double cone angle of the two-dimensional finite element model of the drum to its normal working condition in the overall structure of static analysis, has been the drum of the radial, axial deformation and stress distribution and maximum stress points, results show that the double cone angle drum strength and stiffness to meet the requirements to verify the safety of the structure of double cone angle.

利用ANSYS有限元软件建立了大型卧螺离心机双锥角转鼓的二维有限元模型，对其在正常工作状态下的整体结构进行了静力分析，得到了转鼓的径向、轴向变形和应力分布及最大应力点，结果表明双锥角转鼓的强度和刚度均满足要求，验证了双锥角结构的安全性。

The field solutions are verified by both an analytical two-dimensional algorithm and three-dimensional finite element software. A rapid method is presented for extensile analyzing and optimizing Halbach cylinder magnet.

通过其二维解析解和三维有限元软件验证了本文推导的三维场解，为分析和优化应用日益广泛的Halbach磁体结构提供了一种快速灵活的分析方法。

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。

This paper is based on the former research taking the No.1 Tong-Lv Bridge as an example; the large universal finite element program Midas/Civil is adopted, a three-dimensional finite element model is established. The static performance, the comparative analysis of influence surfaces, the experimental study and the analysis of a local finite element model of the new style three-span continuous through type bow-string arch bridge is made. With these studies, this paper is aimed at revealing the performance of this kind of construction.

本文在前人研究的基础上，以通吕一号桥为背景，采用空间有限元法对结构形式新颖的三跨连续下承式系杆拱桥的静力性能、影响面比较分析、实桥荷载试验、局部节点分析等进行研究，旨在深入理解该结构形式桥梁的力学性能，为今后相同结构体系桥梁的结构分析提供可以参考的建议。

In studies of interaction among pile, platform that above it and surrounding soil, this paper employ the concept of plate element to simulate the loading character of platform, and employ the concept of solid element to simulate the character of pile and soil, using the finite element method after understanding the geometry properties of pile, soil and the platform. Analyzing the loading properties of the three entities above and their deformation, this paper also employ a special element, Penalty Element. The introduction of penalty element of this kind has served to guarantee the join harmony of displacement between solid element and plate element, thereby effectively resolving the join problem between platforms, pile that support it and surrounding soil.Considering significant property difference between pile material and its surrounding soil, there may be much shear stress on their contact interface produced under vertical load, thus causing displacement or fission. Therefore it is necessary to adopt one special constitutive law of this kind of contact interface, which can reflect its feature of loading and deformation thoroughly. On the basis of the deformation feature and constitutive laws of some contact interface obtained by Zhang Dongji and people concerned through some single-shear experiments on contact interface between structure and soil, this paper employ one pile-soil three-dimensional constant thickness contact interface model to simulate the " slide" taken place on the interface between pile and its surrounding soil. With this kind model, this paper has also created one finite element model, which can be applied to perform finite element calculation and analyze the pile-loading feature, and deduced its element stiffness matrix.

在承台-桩-土共同作用中，考虑桩与承台的几何特性，采用有限元方法，用实体单元模拟桩土，用板单元模拟承台，更具体地分析桩和承台的受力特性和变形，而且还采用罚单元—既实体单元与板单元之间连接必须满足变形协调条件，来有效地解决了承台与桩土的连接问题，且在桩土共同作用中，由于桩体结构的材料性能与周围土层性质相差较大，在竖向荷载下有可能在其接触面上产生较大的剪应力从而导致错动或开裂，因此，为了充分反映桩土接触面上的受力及变形特征，应采用一种桩土接触面特有的本构关系，即利用张冬霁等人关于结构与土体接触面单剪试验所得到的接触面变形特征及其本构关系，引入桩-土三维等厚度接触单元来模拟桩与桩侧土之间的&滑移&，在此基础上建立可用于桩基承载性状分析的有限元计算单元模型，并推导出了各单元的刚度矩阵。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。