介绍了求变截面梁挠曲线方程的奇异函数法。
Singular function method is introduced to derive the deflection equations of beams of variable cross section.
本文应用奇异函数简化计算具有悬臂端环板的极限荷载。
In this paper, we use singular function method to simplify calculations of limit loads for annular plates with cantilever end.
奇异函数是一极为重要的奇异型随机变量的分布函数，被广泛研究。
Singular function is an important distribution function of the singular random variable. It is studied widely.
提出一种考虑剪切变形影响时，求解梁的弯曲变形和横向自由振动的奇异函数解法。
An approach using singular functions is propsed to solve the bending deformation and the transverse free vibration problems of beams in consideration of shearing.
从环板的平衡方程出发，应用奇异函数法计算其在最大弯矩极限条件下的极限荷载。
Based on the equilibrium equation of annular plates, the limit loads of annular plates under ultimate condition of the maximal moment were calculated by singular function.
本文将奇异函数法应用于结构的塑性极限分析，简化计算某些固支环形板的极限荷载。
In this paper, the method of singularity function is applied to the structural plastic limit analysis, and simplified the calculation of limit loads of some annular plates of fixed supports.
介绍了悬挂结构特点，利用奇异函数方法建立了悬挂框剪结构的侧移刚度矩阵和动力方程。
The properties of suspended structure are introduced and the singular function method is used to derive the lateral displacement stiffness matrix and the dynamic equations.
在目前高校广泛使用的《电路》一书中，出现了一处关于奇异函数的计算疏忽：计算结果遗漏了冲激项。
There is a mistake about singular function calculation in the book of "Electric Circuit", which is widely used as the textbook by many colleges.
本文将奇异函数与拉普拉斯变换方法相结合，用这种方法来计算阶梯梁的弯曲变形，可以方便地求得梁的挠曲线方程。
The singular function is combined with Laplace 's transformation to calculate the deflection of stepwise beam. In this way the deflection equation of the beam is conveniently determined.
阶跃函数是一种奇异函数，它在分析动态电路过渡过程中具有重要的作用，如何定义阶跃函数是正确应用其分析动态电路的关键。
As one of the singular functions, step function plays an important role in the transient analysis of dynamic circuits and its definition is the key to analyze transient circuits.
介绍了奇异函数的特点，利用奇异函数建立了一种新的高层结构竖向构件分析模型，给出了基本柔度矩阵方程，并讨论了方程的基本性质和意义。
By use of singularity functions, a new analyzing model of vertical member in structural analysis of high rise buildings was established, and the matrix equation was also presented.
本文介绍了求解奇异摄动问题的一种有效方法——边界层函数法，并用此方法研究了在薄矩形板中的热传导问题。
In this paper, the boundary layer function method, an effective method for the solution of singular perturbation, was presented and used to deal with the heat transfer in thin rectangular plates.
本文研究带有齐性核的奇异积分算子与BMO函数的交换子。
The commutator generated by BMO functions and singular integral operators with homogeneous kernel is studied.
以裂纹面上的位错函数为未知量将圆柱型界面裂纹问题化成一组奇异积分方程的求解问题。
The problem of a cylindrical interface crack is reduced to a system of singular integral equations with the aid of two unknown dislocation functions at the interface crack surface.
特别是当小波函数未知时，借助于方程(3.1)，对高阶奇异积分作数值计算，建立了收敛性定理。
Especially, we give a calculation method for higher order singular integral by equation (3.1) when the wavelet function is unknown. At last, we create a convergence theorem.
得到的电型并矢格林函数表达式由包括九个并矢分量的本征模展开式和一个奇异项组成。
It is shown that the expression of electric-type dyadic Green's function is the sum of an eigen-mode expansion containing nine dyadic components and a singular term.
矢量的面积分方程因其被积函数具有高阶奇异性，不能直接应用于数值计算。
The vector surface integral equation can't be applied to numerical computation directly because its integrands possess the high order singularity.
利用复变函数和奇异积分方程方法，求解反平面弹性中半平面边缘内分叉裂纹问题。
The edge internal branch crack problems for half-plane in antiplane elasticity are solved with complex potentials and singular integral equation approach.
曲波变换是一种新的多尺度变换理论，具有各向异性的特征，可以很好地逼近含线奇异的高维函数。
Curvelet is a new multiscale transform theory, which has the characteristics of anisotropy. It can approach a high dimensional function containing line singularity better.
傅立叶变换只能确定一个函数奇异性的整体性质，而难以确定奇异点在空间的位置及分布情况。
Fourier transform only makes sure the feature of a function singular and can not confirm the position and of singular point on space.
小波是表示具有点奇异性函数的最优基，它由于具有时-频局部化特点和多尺度特性，在图像处理领域得到了广泛应用。
Wavelet is the best base of functions, with point singularity, and it has wide application in image processing because of its time-frequency localization and multiscale features.
但在计算矢量位函数和标量位函数的微分过程中，TPM模型将产生奇异点。
When the vector potential function and the differential of the scalar potential function are computed, singular points would occur on TPM.
灵敏度矩阵作为故障诊断方程的一个系数矩阵，它的奇异性制约着故障诊断方程解的存在性，而灵敏度矩阵又是测试频率的函数。
As a coefficient matrix of fault diagnosis equations, singularity of the sensitivity matrix restricts its solutions. On the other hand, sensitivity matrix is a function of testing frequency.
定义了奇异正态分布的广义密度函数。
The generalized density function of the singular normal distribution is also deducted in this paper.
作为多元凸函数的控制不等式在矩阵方面的初步应用，获得了矩阵特征值和奇异值的简洁的控制不等式。
As applications of majorizing inequality of convex function of several variables, some majorizing inequalities of eigenvalue and singular value of matrix are obtained.
因此，本文提出的自适应有理函数插值方法可以对大量采样数据进行插值运算而不会遇到奇异性问题。
So the adaptive rational function interpolation method can process a large number of sampling data for obtaining a rational interpolation without suffering singularity problems.
本文对于矩形区域上某一内点为奇点的奇异积分的近似计算给出了优化中心数值算法，它在迭代计算过程中避免了函数值的重复计算。
This paper presents an optimum numerical algorithm of center rule for the approximate evaluation of singular integrals over rectangular domains with a inner singularity.
本文对于矩形区域上某一内点为奇点的奇异积分的近似计算给出了优化中心数值算法，它在迭代计算过程中避免了函数值的重复计算。
This paper presents an optimum numerical algorithm of center rule for the approximate evaluation of singular integrals over rectangular domains with a inner singularity.
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