查询词典 singular boundary point

By using thenatural boundary element method which is set up by professor Feng Kang,the Neu-mann boundary problem of the harmonic equation on the half-upper plane is reducedto the Hadamard type singular integral equation,the integral region of which is un-bound,and then we turn it into corresponding bilinear form.

通过由冯康教授开创的自然边界元方法，将上半平面调和方程的Neumann边值问题归化为Hadamard型强奇异自然边界积分方程，并且此积分方程是无界域上的强奇异自然边界积分方程，然后将它转化为相应的变分形式。

In this paper,the boundary singular kernel method in Reproducing Kernel Paicle Method has been applied to impose the essential boundary conditions in EFGM by revising the MLS shape function.The stress field and the displacement field are analysed by linear elastic theory.The contour integral method is used to calculate the J-integral,then the stress intensity factors of mixed-mode crack is acquired.The correctness and the validity of the method are validated.

本文将再生核质点方法中的边界奇异权方法引入EFGM中，通过对MLS形函数进行修正实现了本质边界条件在节点处的精确施加；运用线弹性断裂理论分析裂纹板的应力应变场，采用围线积分法计算J积分，给出了复合型裂纹板的应力强度因子的无网格伽辽金方法。

It reduces a boundary valueproblem of elliptic equation to a singular integral equation on the boundary containing the finitepart of divergent integrals in the sense of distrib...

本文是在导师冯康教授指导下完成的，作者谨在此对他表示衷心的感谢。

The boundary singular kernel method and the modified pen alty method are utilized to treat the essential boundary conditions and incompressibility constraint, respectively. The stiffness equation for analysis of metal forming using RKPM is derived and its key algorithms are given.

分别采用边界奇异权法和修正的罚函数法处理本质边界条件和体积不可压缩条件，推导了金属塑性成形过程无网格RKPM法数值模拟的刚度方程，给出了关键算法。

The boundary singular kernel method and modified penalty method are utilized to treat the velocity boundary conditions and incompressibility constraint, respectively. The arc-tangential friction model is employed to treat the contact conditions.

分别采用边界奇异权法和修正的罚函数法处理速度边界条件和体积不可压缩条件，采用反正切摩擦模型处理摩擦边界条件，推导了金属三维塑性成形过程EFGM法数值模拟的刚度方程，给出了关键算法。

In this paper the boundary singular kernel method is used in EFGM to impose the essential boundary conditions exactly.

本文将边界奇异权方法运用于EFGM中，实现了本质边界条件在节点处的精确施加。

Boundary singular kernel method is adopted to modify EFG shape function to impose essential boundary conditions directly.

采用边界奇异核方法对EFG形函数进行修正，直接施加本质边界条件。

The examples given have proved the advantage of the Boundary Element Method. In the analysis of the fracture mechanics using Boundary Element Method, the calculation model of one-quarter singular element has been established, and has been proved its validity.

把边界元法应用于线弹性结构断裂分析中，建立了裂尖奇异区分析的四分之一奇异元计算模型，算例表明，用四分之一奇异元分析断裂力学问题是一种有效的逼近裂尖场的数值方法。

According to the principle of the diameter of a circle corresponding to the right angle and the principle of short side for little angle in right triangle, projecting the initially-chosen point to the hyper-planes of the linear equation group in which every linear equation can be regarded as a hyper-plane and the projection points can be obtained. The initially-chosen point, and one arbitrary projection point, and the solution point are all on the surface of the relative hyper-geometry ball, therein-to, there is a projection point which is nearest to the solution point and it can be regarded as the next iterative initially-chosen point, so the solution problem of the linear equation group can be changed as an iterative problem of approaching the solution on the surface of a hyper-geometry ball.

根据直径对应的圆周角足直角以及直角三角形中短边对小角的原理进一步知道，当将初始点向线性方程组中各个方程所代表的超平面上投影得到投影点时，初始点和其任何一个投影点及方程组的解点都将位于一个相应的超球面上，其中必定存在一个投影点离问题解点的距离最短，即把该点作为下一次迭代的初始点，从而可将线性方程组求解的问题变成球面上逼近解点的迭代问题。

Thence in a southeasterly direction to Corner Point No. CP14 (X = 484 330, Y = 683 415); thence in a. northeasterly direction to Corner Point No. CP15 (X = 484 390, Y = 683 490); thence in a southeasterly direction to Corner Point No. CP16 (X = 484 415, Y = 683 470); thence in a southwesterly direction to Corner Point No. CP17 (X = 484 355, Y = 683 395); thence in a southeasterly direction to Corner Point No. CP18 (X = 484 430, Y = 683 335); thence in a southeasterly direction to Corner Point No. CP1, the point of beginning.

从该点起向东南延伸至隅角点CP14（X = 484 330，Y = 683 415）；从该点起向东北延伸至隅角点CP15（X = 484 390，Y = 683 490）；从该点起向东南延伸至隅角点CP16（X = 484 415，Y = 683 470）；从该点起向西南延伸至隅角点CP17（X = 484 355，Y = 683 395）；从该点起向东南延伸至隅角点CP18（X = 484 430，Y = 683 335）；从该点起向东南延伸至隅角点CP1。

Finally it offers the analysis of the fault-tolerance system as well as its test verification.

这样，运行于空间环境中的系统的设计目标就是在保证系统实时性

However, it is still difficult to find out the real reason of the increase of the keratinized gingiva during the orthodontic extrusion whether it is due to the proliferation of the gingival tissue or to its elastic nature, that is because the proliferation of the fibroblasts as well as the connective tissue changes in volume and the intra-fibers spaces were all immeasurable in most of the studies.

然而，仍然难以找到真正的原因增加的角化牙龈在正畸挤压它是否是由于扩散的牙龈组织或其弹性性质，这是因为增殖的成纤维细胞以及作为结缔组织的变化量和内部纤维空格都是不可估量的，大多数的研究。