几何化

Wire electrode based on the trajectory of the different forms of control, WEDM can be divided into three types: one is shaped by the imitation controlled cutting in line in advance and work to create the same shape by mold, when processing the workpiece at the same time rough and on the mold clamping in the machine tool table, in the process of cutting wire electrode tightly against the mold on the edge of the track for the mobile, thus cutting out and die on the same shape and precision to the workpiece; another One is the electro-optical tracking control, to carry out the cutting line, before the basis of certain parts to enlarge the proportion of drawings depicts an electro-optical tracking map-processing machines will be placed in design stage of electro-optical tracking, tracking platform Photoelectric first line of graphics has always been to follow the track of the Mexican campaign, and then through the use of electrical, mechanical linkage to control the machine tool table, together with the workpiece so相似形wire electrode relative movement, thus cutting out the same shape and design to the workpiece; again a digital control, the use of advanced automatic control of digital technology-driven machine tool in accordance with the pre-processing parameters according to the workpiece geometry pre-processing procedures for the preparation of a good CNC auto-complete processing, the production does not require appearance on board the need to map to enlarge map of the previous two form of control has a higher machining accuracy and a broad range of applications, both at home and abroad more than 95% have adopted WEDM NC.

根据对电极丝运动轨迹的控制形式不同，电火花线切割机床又可分为三种：一种是靠模仿形控制，其在进行线切割加工前，预先制造出与工件形状相同的靠模，加工时把工件毛坯和靠模同时装夹在机床工作台上，在切割过程中电极丝紧紧地贴着靠模边缘作轨迹移动，从而切割出与靠模形状和精度相同的工件来；另一种是光电跟踪控制，其在进行线切割加工前，先根据零件图样按一定放大比例描绘出一张光电跟踪图，加工时将图样置于机床的光电跟踪台上，跟踪台上的光电头始终追随墨线图形的轨迹运动，再借助于电气、机械的联动，控制机床工作台连同工件相对电极丝做相似形的运动，从而切割出与图样形状相同的工件来；再一种是数字程序控制，采用先进的数字化自动控制技术，驱动机床按照加工前根据工件几何形状参数预先编制好的数控加工程序自动完成加工，不需要制作靠模样板也无需绘制放大图，比前面两种控制形式具有更高的加工精度和广阔的应用范围，目前国内外95%以上的电火花线切割机床都已采用数控化。切割属电加工范畴，是由前苏联人发明的，我国是第一个用于工业生产的国家，当时由复但大学和苏州长风机械厂合作生产的这是最早的机型叫复旦型，我们国内在此基础上发展了快走丝系统。欧美和日本发展了慢走系统LS

Magnetic properties are quite sensitive to dimensionality of the elements and stress developed during fabrications on this micrometer/nanometer scale. They are also keys to design and investigation of the micro magnetic devices.

在这种尺寸范围内，图形化铁磁薄膜单元的几何尺寸和在加工与制备过程中产生的应力将对其磁性能产生重要的影响，也是相应微磁器件设计和研制的关键参数之一。

In the most advanced phases, it is possible to attain union with God by the geometric visualization of a Yantra.

在最先进的阶段，有可能达到与上帝的由一Yantra公司几何可视化联盟。

In the most advanced phases, it is possible to attain union with God by the geometric visualization of a Yantra.

在最先进的阶段，这是可能实现联盟与上帝的几何可视化的

An equal cross-section blade was investigated and a finite element model was built parametrically. Geometrical parameters (such as length, width and thickness), material parameters (such as young's modulus and density) and speed of blade were considered as input random variables while the static frequencies and dynamic frequencies were output random variables. Combining the finite element method, response surface method and Monte Carlo method, the statistical properties and cumulative distribution functions of static frequencies and dynamic frequencies were obtained. Probability sensitivities analysis, which combined the slope of the gradient and the width of the scatter range of the random input variables, was applied to quantitatively evaluate the sensitivities of static frequencies and dynamic frequencies with respect to the random variables. The Scatter plots of structural responses with respect to the random input variables were illustrated how to adjust the values of the static frequencies and dynamic frequencies by changing input random variables.

文中以某试验台用汽轮机等直叶片为研究对象，考虑几何参数、材料参数和转速的随机性，通过有限元参数化建模，将确定性有限元方法、响应面方法和Monte-Carlo模拟法相结合，从而获得了叶片静频、动频的统计特性和累积分布函数；同时考虑随机变量的梯度和离散范围对静、动频的影响，通过概率敏感性分析，定量地判断出叶片静、动频对随机输入变量的敏感性；通过绘制叶片静、动频与输入变量的散点图，定量地分析了如何改变随机变量以调整静、动频率的方法。

This material crystallises in a quite remarkable geometry, the so called pyrochlore-lattice.

这种物质材料以一种非常显著的几何形状结晶化，所以叫做烧绿石晶格。

In this project, we propose a novel 3D morphing technique that avoids creating a merged embedding that contains the faces, edges and vertices of two given embeddings. This novel 3D morphing technique dynamically adds or removes vertices to gradually transform the connectivity of 3D polyhedrons from a source model into a target model and simultaneously creates the intermediate shapes.

中文摘要在本专题研究计画中，我们提出一项新的三维物体变形技术，此变形技术所能处理的资料型态为two-manifold 之三维网格物体，此技术不需产生一个共有的高复杂度的网格物体或对原始物体进行重新网格化以产生相同连接关系，取而代之的是直接进行来源与目的物体之间几何与连接结构之转换，我们称此项新技术称为渐进式连接结构之转换(progressive connectivity transformation)，此技术藉由动态增加或移除顶点的方式从来源物体到目的物体逐渐地进行连接结构转换同时使用线性位置内差来产生一序列中间物体。

In this project, we propose a novel 3D morphing technique that avoids creating a merged embedding that contains the faces, edges and vertices of two given embeddings. This novel 3D morphing technique dynamically adds or removes vertices to gradually transform the connectivity of 3D polyhedrons from a source model into a target model and simultaneously creates the intermediate shapes.

在本专题研究计画中，我们提出一项新的三维物体变形技术，此变形技术所能处理的资料型态为two-manifold 之三维网格物体，此技术不需产生一个共有的高复杂度的网格物体或对原始物体进行重新网格化以产生相同连接关系，取而代之的是直接进行来源与目的物体之间几何与连接结构之转换，我们称此项新技术称为渐进式连接结构之转换(progressive connectivity transformation)，此技术藉由动态增加或移除顶点的方式从来源物体到目的物体逐渐地进行连接结构转换同时使用线性位置内差来产生一序列中间物体。

By using geometry, we find the distance between the hyperplanes is 2/|'''''w'''''|, so we want to minimize |'''''w'''''|.

通过几何不难得到这两个超平面之间的距离是 1/2|'''''w'''''|，因此我们需要最小化|'''''w'''''|。

In integration, explicit formulation has been used with the lumped mass matrix so that it facilitates the calculation of the displacement and ayoids the convergence problem caused by the nonlinearities in material, geom.

数学模型采用物质坐标系中的修正的拉格朗日描述，采取集中质量矩阵，用动力显式积分的方法，使位移计算显式化，避免了由材料、几何、边界条件等高度非线性因素引起的计算收敛问题。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。