几何化

Based on the laminate theory, a laminate weakened by damage is treated as an anisotropic thin plate. Using the complex potential method in the plane theory of elasticity of an anisotropic body, the series solution of finite anisotropic thin plate containing an elliptical inclusion is proposed with the help of Faber series. A hybrid element with an elliptical inclusion for anisotropic materials is obtained by using the hybrid variable principle, and the element efficiency is verified by numerical examples. The state of the damage is modeled by an elliptical soft inclusion, and using the point stress criterion based on characteristic curve and Yamada-Sun etc. criteria, the prediction of the strength of a composite laminate with damage is set up. The effects of various parameters on the stress distribution and the residual strength of a composite laminate weakened by damage are detailedly studied.

首先基于经典层板理论，将复合材料层板的弹性问题化归为均匀各向异性板来求解；采用各向异性体平面弹性理论中的复势方法，以Faber级数为工具，给出了有限大含椭圆核各向异性板弹性问题的级数解形式；利用杂交变分原理，成功导出含椭圆核各向异性板杂交应力有限元，并用算例验证了该单元的可行性和有效性；采用含刚度折减椭圆形弹性核的冲击损伤模型，引入基于特征曲线和Yamada-Sun破坏准则的点应力判据，建立了含损伤复合材料层板剩余强度的分析方法；通过数值计算详细讨论了各种几何参数对损伤层板应力分布、剩余强度的影响，得到了一系列对工程应用具有实用价值的结论。

We introduce the asymptotic efficient curve to the model, so that the nonparametric component of the model is transformed into the parametric component, and then the geometric framework can be constructed.

本文通过引入渐近有效曲线，从而使非参数成分参数化；并对该模型建立了类似于Bates和Watts的几何结构。

In the third chapter, we use the method of localization at infinity of space to study index theorems with coarse geometry.

第三章利用在空间无穷远处的局部化方法研究了关于粗几何的指标问题。

The geometries,electronic structures,polarizabilities and hyperpolarizabilities,as well as the UV-Vis spectra of the two organic dye sensitizers containing bis-dimethylfluorenyl amino benzofuran were studied via density functional theory and time-dependent DFT.

运用密度泛函理论和含时密度泛函理论研究了两种含二-二甲基芴氨基苯并呋喃基团的有机染料敏化剂的几何结构、电子结构、极化率和超极化率以及紫外可见谱。

Related with the traffic status of our country, the content of this paper is combined with practical application. The paper studies how to investigate traffic status in urban signal intersection, By field observing and videography, this paper get the geometry formal、traffic control and traffic running state of Xingtan road and Wenhuiyuan north road intersection, which can be support database for model building and model testing. On currently basic design principles of signal phase, through deep study of signal phase and canalization design.

本文结合我国目前的交通状况，着力将所要研究的内容与实际应用结合起来，研究了城市信号交叉口交通调查的方法，通过实地观测和摄像的手段获得杏坛路与文慧园北路交叉路口的几何形式、交通管理和交通运行状况的信息，以此作为建立模型和验证模型的支持数据，并在现有信号相位设计基本原则的基础上，深入研究了混合通行情况下的相位方案及渠化设计。

In topographic map, especially for city area, most of features are central symmetry and axial symmetry. By means of extracting features with symmetric figure first and then vectoring them according to their geometric characteristic, accuracy and efficiency can be increased and data sizes can be reduced.

在地形图中，轴对称和中心对称的要素占据着相当大的比例，特别是城市地形图中，房屋建筑等具有对称形状的要素占据了地形图中要素的绝大部分，在扫描图中首先对这些要素进行提取，进而根据特定要素的几何特征矢量化，可显著地提高矢量化精度和效率，减少数据的储存量。

The stability of the closed loop predictive control system and optimization feasibility are investigated.

研究基于微分几何方法的反馈线性化技术在非线性模型预测控制中的应用。

Parametric design ; Geometric constraint ; Reduction ; Point cluster

参数化设计；几何约束；归约；点簇

Based on conformal mapping and differential geometry theory,a triangular mesh parametrization method by optimizing deformation energy is proposed in the paper.

本文首先基于保形映射和微分几何相关理论，定义了一种统一衡量参数化的角度变形和面积变形的变形能量。

Research on application of conformal mapping in geometric modeling is investigated in this paper.

本文对保形映射理论在几何造型中的某些应用问题进行了研究，提出了基于Mbius变换的圆弧样条曲线构造方法、基于保形映射的变形造型方法以及利用保形映射进行三角网格曲面参数化的新方法。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐