保角变换

This semi-analytical method is accurate and widely used. It overcomes the limitation of the analytical solution such as conformal mapping. The position of cracks can be arbitrary.

这种解析数值相结合求解应力强度因子的方法，充分利用了解析方法精度高和数值方法适用性广的特点，同时又克服了保角变换等解析解的局限，各裂纹位置可以是任意的。

To avoid the "crowding phenomenon" in conformal mapping,approximate analytical expressions of characteristic parameter for CPW′s on a thin substrate have been derived.

本文推导出了薄衬底共面波导特性参数计算的近似解析表达式，避免了薄衬底保角变换中的"拥挤现象"。

Utilizing the tools of conformal mapping and Cauchy integral formula and so on, the SIFs at the crack tips are obtained, which can be reduced to the known results under the condition of limitation; For the third and the fourth section, the problems of arc crack and parabolic crack are researched in one dimensional hexagonal QCs.

第二节研究了一维六方准晶狭长体中双半无限共线裂纹问题，利用保角变换以及Cauchy积分公式等工具求得了裂尖处的应力强度因子，在极限的情况下可以还原为若干已有的结果。

With the methods of conformal mapping and the Cauchy integral, two cases of crack geometries are studied: one is for a crack emanating from a circular hole and the other is for two symmetric cracks emanating from a circular hole.

利用保角变换和 Cauchy 积分的方法，对含有圆孔孔边单裂纹和双裂纹的压电弹性体分别进行了分析。

The influence of free surface on tunnels is discussed.The influence of blasting vibration on fresh concrete lining is studied. The finite element method is employed to analyze the spatial distribution of temperature and thermal stress of fresh concrete lining, the wave function expansion method is used to study the interaction of blasting seismic wave and the circular tunnel with lining, thenthe safe PPV of fresh concrete lining with different age is decided by taking into account the thermal stress of concrete lining. Using the conformal mapping method, the influence of blasting vibration on the arch tunnel with lining is studied and the safe PPV of concrete lining is deduced under different incident angle.

研究了爆破振动对新浇混凝土衬砌的影响，采用有限元法求出了圆形洞室新浇混凝土衬砌内温度和温度应力在空间上的分布及其随时间的变化，采用波函数展开法求解了爆破地震波与有衬砌圆形洞室的相互作用，获得了考虑新浇混凝土衬砌内温度应力前提下不同龄期的新浇混凝土衬砌的安全振速；利用保角变换研究了爆破振动对直墙拱形有衬砌隧洞的影响，得到了爆破地震波以不同角度入射时混凝土衬砌的安全振速。

Support vector machines ; model selection ; Riemannian geometry ; conformal transformation ; Chinese character recognition

支持向量机；模型选择；黎曼几何；保角变换；汉字识别

The method of geopotential field conversion on random curve surface is presented by use of conformal mapping in this paper.

本文提出了一种用保角变换进行任意曲面位场转换的方法，并给出了模型例子，讨论了产生误差的原因及应用中应注意的问

It is based on the conformal mapping approach and improved transmission line model, which is suitable for direct application in CAD programs.

它是基于保角变换法和改进的传输线理论模型，特别适合于多介质层矩形贴片微带天线的计算机辅助设计及微带阵列天线的分析。

Methods Conformal mapping and series expansion are used.

利用复变保角变换和级数展开法。

This semi-analytical method is more accurate then the numerical methods. And it overcome the disadvantage of analysis methods such as conformal mapping, the position of cracks can be random.

此方法属于一种半解析半数值的方法，由于充分利用了解析的结果，因而具有比较高的精度，同时又克服了保角变换等解析法的局限，各裂纹位置可以是任意的。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。