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Furthermore, it can be changed into singular integral equations with Cauchy kernel by introducing Sherman transformation. Then , the numerical example of the elastic welding problem with symmetric cracks is given, and the stress intensity factors can be obtained.

通过应用平面弹性复变方法,把满足已知边界条件的弹性平衡问题转化为解析函数的边值问题,再通过引入Sherman变换,把边值问题化为Cauchy核的奇异积分方程组。

A comparable function can be defined in terms of the digital transfer function using the polar variable z by defining HH = HH (1/z) which gives the magnitude-squared frequency response when evaluated around the unit circle, i.e., z = ejw.

解析复杂值函数的复变S是定义在此背景下,逼近抵达中的F ,结果是一个解析函数法郎的因子F款,这是理想的过滤器传递函数在矩形的变数。

By means of plane elastic complex variable method and theory of boundary value problems and integral equation.

利用平面弹性复变方法和解析函数边值问题以及积分方程的基本理论,研究不同材料的各向同性弹性长条与半平面的焊接问题,给出了弹性体应力函数封闭形式的

Paper has handled mathematics model, paper has finished real variation of complex conformal mapping function.

在模型数值处理中,完成了复变解析共形映射函数实变化的研究工作。

In the chapter three, by using the comparison principle and frequency domain method of the discrete systems with time-delay, combining Rouche Theorem, sufficient criterions for the stabilization of the neutral type discrete control systems with multiple time-delay and the neutral type interval coefficient discrete control systems with multiple time-delay are obtained by choosing appropriate feedback controller.

在第三章,利用时滞离散系统的比较原理与时域法,结合复变函数理论中的路歇定理,通过选取适当的反馈控制律,得到了多组时滞中立型线性定常离散控制系统和多组时滞中立型区间系数线性定常离散控制系统的无条件镇定的充分性准则。

In this paper, the interactions of multiple semicylindrical canyons by SH-waves in anisotropic media are studied by using multipolar coordinate and complex function method.

本文利用多极坐标和复变函数方法研究各向异性介质中SH波与多个半圆形凹陷地形的相互作用,各向异性可用来模拟地质条件。

It is characteristic of higher theorization and abstract conception.

在讨论控制对象的数学模型和分析其性能时,往往需要大量的数学知识如拉氏变换、微分方程、复变函数理论和Z变换等。

Normal families of meromorphic functions is an important subject in complex analysis.

正规性是单复变函数中重要的研究课题。在过去几十年里,正规族理论研究得到了相当的重视,且取得了出色的成绩。

When handling the problem of mapping accuracy, the convex-concave expansion technology for Taylor series expansion is adopted.

根据复变函数共形映射理论,讨论Schwarz-Christoffel积分变换的正反求解过程;应用Taylor级数凸凹分级展开技术,处理映射精度问题。

The approximate analytic solution for the plane problem of semi infinite elastic solid subjected to a concentrated force at the midpoint of bottom of a groove is given by means of complex stress function.

运用复变函数方法,求出了半无限弹性体通过刻槽之底施以集中力的平面弹性应力场的近似解析解,并进行了光弹性试验,理论上求得的应力分布与试验结果相吻合

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