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奇异函数

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The paper draws linear unusual differential equation a_0y~(n+a_1y~(n-1+…+a_(n-1)y′+α_ny=∑mi=0k_iδ~(i from the practical problems in the engineering field of electronic technology,circuit analysis,mechanics of materials,mechanical design and civil architecture,discusses the dependence of the solution of the equation on that of homogeneous,gives the algorithm of the equation,and draws the general algorithm of semi-odd number rank unusual Bessel differential equation.

在电子技术、电路分析、材料力学、机械设计和土木建筑等工程技术领域中,常会遇到一类非齐次项为奇异函数的广义线性微分方程,本文给出这类奇异微分方程的解对齐次解的依赖性,从而得出这类奇异微分方程的解法,求出了半奇数阶奇异Bessel微分方程的通解。如下列应用问题中的微分方

Three methods of unit impulse response in time domain are presented, odd function balance, equal initial condition and linear system analysis.

提出了连续系统单位冲激响应的3种时域求解方法:奇异函数平衡法、等效初始条件法和线性分析法。

A multiple-step beams model was established to analyze the static stiffness characteristics of the double parallel four-bar mechanism with right angle flexible hinges based on the symmetry of the structure. Formula for calculating the static stiffness was derived by applying singularity function. On the basis of this analysis, the factors influencing the stiffness performance of the double parallel four-bar mechanism were studied from its geometric parameters, and the theoretical model was verified by finite element method.

根据其结构的对称性建立了静刚度分析的阶梯梁模型,引入奇异函数法推导了柔性双平行四杆机构的静刚度计算公式,在此基础上,分析了柔性双平行四杆机构各尺寸参数对其静刚度的影响,并采用有限元方法对理论模型进行了验证。

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.

1问题的提出如图1所示,阶跃函数是一种奇异函数,它在分析动态电路的过渡过程中具有重要的作用,而阶跃函数如何定义是正确应用它分析动态电路的关键。

In this paper, a singular function is introduced in this method, so that the amount of calculation is much reduced while the merits of the method remain.

为克服其缺点,把奇异函数引进到单位荷载法中去,这样不但克服了其缺点,而且保留了其优点,使其计算过程大大简化。

Curvelet can reflect anisotropy of singular function and image edges; therefore it is better suitable for multiscale image denoising.

Curvelet变换可以更好地表示曲线奇异函数的异向性及图像边缘,因此更适合于多尺度图像去噪。

This paper presents analytical solutions of internal forces of a solid three hinged arch subjected to complex loadings by a singular function method.

奇异函数法导出了实体三铰拱在复杂载荷作用下内力的解析解,与传统的数解法相比,由于用统一的解析式表达内力,便于编程计算,也便于根据已知外载情况合理地设计拱轴

But in evaluating the self term of impedance elements, the separation of singular exact kernel is acceptable due to slowly convergence of series representations.

但在评价阻抗元素自身时,由于一系列表达式的缓慢收敛,确切奇异函数的分离也是可以的。

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.

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。

There are many methods for computation of the slope and deflection of beams such as the integration method, the finite difference method, the Macaulay's method, the Mohr's 'area-moment' method and so on. They possess mostly the characteristics of complex computing or searching schematics.

有多种方法求梁的位移,如积分法、迭加法、初参数方程法、其轭梁法、有限差分法、奇异函数法和莫尔&面积一力矩&法等等,其大都具有或计算复杂或依赖各种不同的图表等特点。

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然而,正如其名字所指出的那样,CD盘不能写,也不能用任何方式改变其内容。

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