有理分式

This paper presents a method of synthesizi ng non-equiripple low-pass filter based on iteration analysis,in which the rat ional fraction formed of Chebyshev polynomial is used as the filter characterist ic function.

提出一种用切比雪夫多项式构成有理分式作为滤波器的特征函数，并利用迭代分析进行非等波纹低通滤波器综合的方法。

The stress-strain curve of new-old concrete and HPRRC, are suggested to be modeled by two sections: the ascending section of the stress-strain curve is simulated by cubic parabola equation and the descending section is simulated by rational fraction, where the theoretical value is in good agreement with the test value.

新—老砼及HPRRC应力—应变全曲线建议采用两段式拟合：上升段采用三次抛物线方程模拟，下降段采用有理分式模拟，理论值与试验结果吻合较好。

Rational fraction, rational base function and homogeneous coordinate.

NURBS曲线方程具有三种等价形式：有理分式表示、有理基函数表示和齐次坐标表示。

In accordance with the situation that the damping was the non-classical damping,the structure was asymmetric,and random wind spectrum was irrational fraction wind spectrum,the equations obtained were decoupled with the complex mode theory.

建立运动方程，用第一振型将主体结构展开，针对非经典阻尼和非对称结构以及脉动风谱为非有理分式风谱的情况，运用复模态理论将所得方程进行解耦，获得了以第一振型表示的结构随机风振响应的解析解。

In this paper, the stationary and non-stationary random wind-induced response, dynamic reliability and optimization under the dynamic reliability constraint of structures with foundation rotation and tall building with TMD or TLD is studied systematically. Three achievements are gained. 1. According to the situation that Davenport wind spectrum is irrational fraction, the equivalent wind spectrum is generated by linear filtered process.

本文对基础转动结构、带TMD或TLD结构的高层建筑和高耸结构的平稳与非平稳随机风振响应、动力可靠性分析以及基于动力可靠性约束的优化设计方法进行了系统的研究，取得了以下成果：1、针对Davenport脉动风谱为非有理分式风谱，通过线性滤波过程和三参数拟合，生成了与Davenport风谱等效的脉动风谱。

This article gives that several commonly rational functions are divided into the decompose summation of the partial fraction formulas and their proof.

摘要给出了几个常用有理分式分解成部分分式之和的分解公式和证明。

By using methods on the theory of majorization, two refinements of an inequality for the rational fraction are established.

利用控制不等式理论给出了一个有理分式不等式的两种加细，并比较了二者的优劣。

The two methods of model simplification are presented for large scale systems, they are the least square approximation and the rational fraction approximation.

本文针对大系统的频域模型简化提出了两种方法：最小二乘近似法和有理分式近似法。

Many researchers have devoted their work to the development of modal analysis extraction techniques in order to obtain more reliable identification of the modal parameters. There are many damping identification methods, but each one has different merit and defect. In order to find which one is the most reliable method with respect to certain characteristics, this thesis focus on how to identify structure's damping in time domain. The following works have been done in this thesis: 1. Investigate four modal analysis methods——the LSCE Method, the Ibrahim Time Domain Method, the Time Domain Collectivity Modal Parameter Method, the Rational Fraction Polynomial Method and improve on the ITD Method in arithmetic.

本文主要做了如下工作： 1、集中研究了四种常用的模态识别方法，即最小二乘复指数法、Ibrahim时域法、时域总体模态参数辨识法及有理分式多项式法，并对ITD法在算法上进行了一定的改进； 2、建立结构动力模型，利用这四种方法在具体条件下识别结构的阻尼，并绘制相应的图； 3、讨论不同的情况下，不同的识别方法对阻尼识别精确性的影响； 4、基于业已明确的阻尼识别的精确性，根据研究的需要，指出在实际的识别过程中，如何选择最佳的识别方法以及识别过程中需要注意的问题； 5、选择最为精确的阻尼识别方法，以导师李书进教授在日本京都大学防灾研究所强震反应实验室所做的一足尺木制结构房屋的动力测试实验为实测模型，识别其阻尼； 6、在本文的最后，尽作者所知，提出了一些需要改进的地方，并对未来的研究方向给出了作者的建议。

A bstract: This paper focus on virtual instrument design of modal parameters identification with curve fitting theory based on rational fraction orthogonal polynomials. Using Forsythe orthogonal polynomials solves the coefficient equation instead of normal power polynomials in order to decrease the morbidity of it, making the orders of coefficient equation reduce to half and increasing computing efficiency.

本文基于有理分式正交多项式曲线拟合理论对振动系统的模态参数辨识进行了虚拟仪器的设计，为了减少系数矩阵的病态，采用 Forsythe 正交多项式代替普通的幂多项式进行求解，使系数矩阵阶次降低近一半，提高了运算速度。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了