圆形域

Using the exterior expression for the Graf′s addition theorem, the closed form solution for scattering of plane SH waves by circular inclusion in half-space is given in the paper. The effect of the inclusion on the surface ground motion is ellustrated and the effect region of the scattering field from the inclusion is analyzed.

文中利用Graf加法公式的内域型表达给出了半空间内含圆形夹塞区出平面散射的封闭级数解答，讨论了夹塞区散射场对附近地表运动的作用，并特别分析了这一作用在地面上的影响范围。

Special solutions for the ring circular domain with crack surfaces acted on uniform compressive force, linear compressive force and linear shearing force are deduced in polar coordinate employed the eigenfunction expansion technique in the Hamiltonian system of elastic mechanics. Combined with the general solution for the above problems, the analytical solutions for crack tip fields with surfaces acted on the above three kinds of loads are obtained. These solutions offer theoretical basis to construct analytical elements for plastic analysis of crack.

从弹性力学哈密顿体系理论出发，利用平面弹性力学极坐标系下的本征向量展开求解，推导了环形圆形域裂纹边作用有均布压力、线性压力和均布剪切力情况下的特解，从而得到了裂纹表面作用有以上三种荷载情况下的裂纹尖端场的解析解，为进一步构造进行弹塑性裂纹分析的奇异解析元奠定了理论基础。

Analysis on UPCA model spatial sensitivityAgainst the situation that most urban CA model with no consideration of the spatial scale of data input, taking Changsha as the example, it analyzed the UPCA model spatial sensitivity, drew that the appropriate resolution and the neighborhood structure of Changsha area are respectively 30m and C-1 (taking a cell as radius circular neighborhood).

3UPCA模型的空间尺度敏感性分析针对目前大多城市CA模型在模拟城市空间形态演变时没有考虑输入数据的空间尺度影响，本研究论证UPCA模型模拟长沙市城市空间形态的空间尺度敏感性，得出了应用于长沙地区的适宜分辨率和邻域结构分别为30m和C-1(以一个元胞为半径的圆形邻域)，并基于此空间尺度获取了模型的最佳校验参数。

And the matching point pairs are obtained by comparing the Euclidean distance of the Zernike moments,which are computed around a circular neighborhood centered at the feature point.Then the transform parameters are computed through the correct mapping model.Finally,the weighed average method is used to achieve image mosaic.

该算法利用曲率尺度空间角点检测法提取特征点，通过比较各特征点圆形邻域Zernike矩的欧式距离得到匹配点对，然后利用正确的映射模型计算出变换参数，最后采用加权平均法得到图像的拼接结果。

In this thesis, terahertz transmission properties through three kinds of simple sub-wavelength metallic structures, including single sub-wavelength metallic circular hole, single sub-wavelength metallic slit and double sub-wavelength metallic slits, are experimentally investigated in the far field by using our own THz time-domain spectroscopy system and are theoretically analyzed. Conclusions are obtained as follows:(1) a single sub-wavelength metallic circular hole exhibits the same terahertz transmission properties as that of round metallic waveguide, which are influenced by the diameter of circular hole and the thickness of metal foil.

本文利用本实验室搭建的太赫兹时域光谱系统研究了太赫兹波段金属亚波长结构的透射特性，其中对三类金属亚波长简单结构即单个金属亚波长圆孔、单个金属亚波长狭缝和金属亚波长双缝的太赫兹透射现象进行了远场探测以及理论上的分析，得到了以下一些成果：(1)太赫兹波通过单个金属亚波长圆孔的传播现象与圆形金属波导具有相同的规律，其特性受到圆孔直径和金属箔厚度的影响。

The second kind of Fredholm integral equation of the single pile interacted with the point sink is obtained through the fundamental solutions.

利用圆形载荷和抽水井点的基本解得出了单桩和抽水井点相互作用时在时间域内的第二类Fredholm积分方程。

Based on the fundamental solution of circular load in the interior of the layered half space, the second kind of Fredholm integral equation of the single pile in layered saturated viscoelastic soil is obtained.

为了求解该问题，首先利用层状饱和土的圆形载荷基本解，建立了时域内层状饱和土地基中单桩的积分方程。

In the last chapter, the covering theorems for normalized holomorphic mappings on bounded starlike circular domains are also obtained.

另外，在本文的最后一章，我们还讨论了有界星形圆形域上正规化全纯映射的掩盖定理。

It includes hardware equipments and foundational theory of the image digitization. This paper expatiates on some digital image processing technologies that the inspecting system may apply to the research and analysis of the collected glass-crack image. Using neighborhood average method and median filter retrains the image noises and make the image edge smooth. Then protract the histogram of the gray image, get the threshold of this image, utilize the threshold method and gray-level slice method to get a binary image, and detect the image edge. Finally calculate the area and perimeter of the glass-crack image, and use the circularity to judge whether this image is a glass-crack image.

本文重点阐述了研究和开发这套玻璃瓶裂纹检测系统所应用到的一些数字图像处理技术，并应用这些技术和方法对采集的裂纹图像进行了处理和分析：应用邻域平均法和中值滤波法来抑制图像的噪声，使图像的边缘平滑；然后绘制出处理过图像的灰度直方图，得到该幅裂纹图像的阈值，利用阈值法和灰度级切片法对裂纹图像进行二值化处理，得到其二值图像，并对图像进行了边缘检测；最后计算出裂纹图像的面积和周长，利用圆形度指标来判断该图像是否为裂纹图像。

In chapter 3, we establish some partial differential inequalities on bounded starlike circlar domains and the unit ball of Banach norm in C〓. Then by using these inequalities, we can get two sufficient conditions for almost starlike mappings of order α.

第三章通过在C〓中的有界星形圆形域和复Banach范数之下的单位球上建立一些微分不等式，给出了α次的殆星映射的两个充分判别条件。

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