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high order singularities
相关语句
  高奇性
     RIEMANN HILBERT BOUNDARY VALUE PROBLEM WITH HIGH ORDER SINGULARITIES
     具有高奇性的Riemann-Hilbert边值问题
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  相似匹配句对
     THEORY OF HIGH ORDER ABERRATIONS
     高级象差理论
短句来源
     Order
     订单
短句来源
     Simplification of High-Order Systems
     高阶系统的简化问题
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     On Order
     秩序微言
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     SINGULARITIES IN ANiSOTROPIC COMPOSITES
     各向异性复合材料的应力奇异性
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  high order singularities
Discussion of 'Why K High order singularities and small scale yielding' by C.Y.
      
Why K High order singularities and small scale yielding
      


In this paper the "moment functions" U and V are introduced to represent the bending moment, torque and transverse shearing force in a thin elastic plate, and therefore the equilibrium equations for bending of the plate become identical relations. The compatibility relations satisfied by U and V are analogous to the equilibrium equations for displacements u and v in plane elasticity. in the paper the boundary values of U and V are prescribed on clamped,unsupported and simply supported edges of plates and compared...

In this paper the "moment functions" U and V are introduced to represent the bending moment, torque and transverse shearing force in a thin elastic plate, and therefore the equilibrium equations for bending of the plate become identical relations. The compatibility relations satisfied by U and V are analogous to the equilibrium equations for displacements u and v in plane elasticity. in the paper the boundary values of U and V are prescribed on clamped,unsupported and simply supported edges of plates and compared with those of u and v.The analogy allows us to use a plane elasticity BEM program for calculating bending problems of a plate. The approach is more convenient, since the corner conditions and higher order singularities in usual BEM for plate are circumvented.Finally, numerical examples are provided to show the feasibility and the advantages of the present approach.

本文引入力矩函数来表示克希霍夫平板弯曲时的内力,推导了力矩函数应满足的基本微分方程及在固支、简支和自由边界时应满足的边界条件。将薄板弯曲问题与弹性力学平面问题进行了比拟,说明对已有的平面问题的边界元程序作一些修改,就可用来计算薄板的小挠度问题。文章利用修改后的弹性力学平面问题的边界元程序计算了薄板弯曲的几个例题,说明了该比拟法的可行性与优越性。

Characterisations are proved for those harmonic maps from S 2 into CP n or RP n with few higher order singularities to be antipodal symmetry and complementation,using properties of directrix curves.

利用准线的性质,刻画了从S2到CPn和RPn的具有少量高阶奇点的调和映射为对映对称和对映互补的特征

This paper mainly deals with the resovability of Riemann Hilbert boundary value problem for nonlinear elliptic systems of first order,where the boundary condition is with high order singularities. First Schwarz formula with high order singularities are given by introducing Hadamard principal value and five operaters,and by using above formula,and then the representatives of solutions and the numbers of resovable conditions have heen obtained.

讨论边界条件具有高奇性的解析函数的Riemann-Hilbert边值问题.

 
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