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After using the obtained elementary soluation,the singular integral equation for the collinear crack problem was obtained.

利用此基本解可得共线裂纹问题的奇异积分方程。

Using the perturbation method and Stroh's formula, a nonideal crack, which is mathematically sharp and the opposing crack faces still have a gap in which a stiffless dielectric fills, the two-field problem is reduced to a standard Riemann-Hilbert problem. The internal electric field distribution is obtained by solving a singular integral equation, and then the full field both inside and outside the crack is obtained and the electro-mechanical intensity factors to the first order of accuracy are given.

采用摄动方法对裂尖理想尖锐而裂纹面又具有一定张开的非理想裂纹进行分析，裂隙内含有无刚度的各向同性电介质，利用Stroh公式，将二域问题化为标准的Riemann-Hilbert问题，裂隙内电场分布通过解一个奇异积分方程获得，从而得到裂纹内外的力电全场分布，进而给出一阶精度下的力电强度因子的表达式。

Applying the boundary condition in the interface between the uniaxial anisotropic medium and free space, the surface of the conducting sphere, the expansion coefficients of electromagnetic fields in terms of spherical vector wave function in uniaxial anisotropic medium are obtained, and then the expansion coefficients of scattering fields and radar cross sections can be obtained.

通过矩阵方程的求解和球B(来源：e3ABC论文网www.abclunwen.com)essel函数的大宗量渐进表达式，我们给出了各向异性单轴介质球结构对平面波电磁散射的数值计算结果，并和其他的数值计算结果进行了比较，其结果正如我们所预料的一样，达到了预期的结果。

In this paper, based on nonlinear FEA software ANSYS/LS-DYNA, 3D dynamic simulation models of eighteen-type tubes for backward spinning was established. This paper not only obtained spinning force of tube backward spinning but also obtained the spinning force curves varying with the different reducer ratio, feeds, fillet radius for spinning roller, forming angle and diameter of spinning roller, and diameter blank inner.

以大型非线性有限元软件ANSYS/LS-DYNA为分析平台，通过对18种几何尺寸和参数不同的筒形件三旋轮强力反旋旋压过程的三维动态模拟，得到了它们的旋压力以及旋压力随不同减薄率，旋轮进给量，旋轮圆角半径，旋轮成形角，旋轮直径和毛坯内径的变化曲线。

As the main part of this thesis, based on RSJ model, a symmetric DC SQUID is theoretically studied through two-dimensional Fokker-Planck equations, by using the "potential condition" in the case of steady state, the stationary probability distribution function of this system is obtained firstly in the accurate theory, meanwhile, the expressions of all the SQUID characteristics functions are obtained, for example, the circulating current, total normalized voltage and transfer function.

作为本论文的主体工作，我们以RSJ模型为基础，利用二维Fokker—Planck方程从理论上研究了对称型双结超导量子干涉器件，利用定态条件下的"势条件"得到了系统定态概率分布的精确解析表达式，进而得到了该系统所有特性函数如环路电流、总电压、调制函数的统计表达式，利用数值计算讨论了各种参数对DC SoL71D系统特性的影响。

The local superlinear or quadratic convergence rate is also obtained under the condition that the solution is R-regular. 4. For NCPs and MCPs, by eliminating the multiplier parameters from above merit functions, some new simple smooth merit functions without any parameters are obtained respectively. For the P〓-function any stationary points of the merit functions are the solution of the problems.

对于互补和混合互补问题，通过消去乘子的技巧性工作，分别构造了新的不含任何参数的一类光滑价值函数，它们结构简单，在P〓-函数情形便可保证其稳定点是互补问题之解，不仅具备类似著名Fischer-Burmeister函数的良好微分性质，且强制性方面更优，同时对线性问题也保持了其线性性质。

According to structural characteristics of floating slab tracks, a track segment element was taken between two adjacent fasteners. For each element, rails were regarded as Euler beams supported by discrete viscoelastic supports. The fasteners and rubber supports were replaced by a linear spring and damp. So the vibration model of the floating slab track was established. In constructing vibration model of a metro train, each car of the metro train with two suspensions was modeled as a multi-rigid body system, in which rigid bodies were connected with each other by a linear spring and damp. Combining the potential energy of vertical vibration of the track with that of the metro train, the total potential energy of vertical vibration of the train and track was obtained. And then, the matrix equation of vertical vibration of the system was established using the principle of total potential energy with stationary value in elastic system dynamics and the "set-in-right-position" rule for formulating system matrices. The vibration responses of the system can be obtained by solving the matrix equation with the direct time integration such as Wilson-θ method.

摘 要：针对浮置板式轨道结构特点，取相邻2个扣件之间的轨道为1个轨段单元，钢轨视为连续弹性点支承Euler梁，浮置板视为弹性薄板，扣件系统及橡胶支座均模拟为线性弹簧及粘滞阻尼器，建立浮置板式轨道振动模型；将城轨列车中的车辆均离散为多刚体系统，各刚体之间通过线性弹簧及粘滞阻尼器相连，建立列车振动模型；将浮置板式轨道及列车振动势能叠加，得到系统竖向振动总势能；基于弹性系统动力学总势能不变值原理及形成系统矩阵的"对号入座"法则，建立此系统竖向振动矩阵方程；采用Wilson-θ逐步积分法求解此矩阵方程，得出此系统竖向振动响应。

The statistical distribution of Tc obtained for the same batch of crucible was also obtained.

研究了在同一个坩埚中Bi-2212晶体Tc的统计分布。

Obtained the calculation formulas of stripe—pillar size of two and three dimension in the pillar containing joints by analysing it. Studied the effect of joint trace, angle, density and tension strength on the stability of stipe—pillar. Obtained the upper—limit value of joint angle that has no effect on the stability of stripe—pillar.

通过对含节理煤柱的分析，获得了含节理煤柱的二维、三维条带煤柱尺寸计算式，分析了节理迹长、倾角、密度、抗拉强度对条带煤柱稳定性的影响，获得了节理对条带煤柱稳定性无影响的节理倾角上限值。

In this method, all stable sub-intervals in the training sequence were located for each pixel as possible background. Then a classify data set was constructed by the median values of each subinterval. A background subset was obtained from the data set by unsupervised clustering. Accordingly the initialized background was obtained from the background subset.

首先利用滑动可变窗口检测每个像素的所有不重叠平滑子序列，获取可能背景；然后选择每个平滑子序列的中值样本点构建分类序列集，根据未知类别的无监督聚类识别思想获取背景子集，实现背景初始化。

He studied their excrement for evidence of livestock hair.

他为家畜毛的证据研究他们的粪便。

Loneliness is not grounds for deportation, deportation of the people are not all lonely people.

寂寞也不是放逐的理由，放逐的人也并不都是孤独的人。