查询词典 perturbation function

First,an orthogonal method is used to get the perturbation into a series of functions.

正则摄动法和加权残值法是求解非线性力学问题的两个常用方法。

Firstly, the heated distortions of the COIL resonator mirrors, laser window and an outside mirror and the perturbation of a length of air illuminated by the laser beam were successfully demonstrated using a 2-D shealing interferometer. The existence and the ponderance of the distortions are known, which makes things sporting the diagnosis and study.

在诊断研究中，首先利用二维剪切干涉仪对氧碘化学激光器的腔镜、窗口、腔外镜热变形和气流扰动进行了检测，确认了在高能激光器工作中这些热变形的存在及严重性，为诊断工作提供了可靠依据。

Elastic parameters involved in the paper are the relative perturbation of the fluid factor, shear modulus and density.

文中考虑的弹性参数有流体因子、剪切模量和密度三者的相对扰动量。

In this thesis, the methods for solving eigenvalue problems and conventional reanalysis methods are studied firstly. Then, a new reanalysis method for real modal reanalysis of structures subjected to topological modification with added degrees of freedom is presented. This method is composed of the single step perturbation method and the Rayleigh-quotient iteration. The numerical examples show that this reanalysis method is very effective and high-quality.

本文首先在对常规的特征值数值求解方法和重分析方法研究的基础上，针对实模态的自由度增加的结构拓扑修改重分析，提出了一种新方法，该方法由于结合了单步摄动法和瑞利商逆迭代法两者的优点，应当是一种比较理想的重分析方法，算例的数值结果也有力的验证了该方法确实是一种高精度、十分有效的实模态重分析方法。

This paper deals with the singular perturbation of the boundary value problem of a class of third order nonlinear differential equations.

研究一类三阶非线性微分方程边值问题的奇摄动，由于退化问题是一阶微分方程，将失去两个初值条件，所以摄动解在x=0的某一邻域内将出现非一致性。

A general matrix perturbation method for complex modes using singular value decomposition;2. The modal character,the error of the substituting by real modes and the best way to extract real modes from complex modes are discussed.

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。

This chapter clarifies the nested relationship between the matrix family of unitary, orthogonal, Givens, Householder, permutation, and row or column symmetric matrices. A precise correspondence of the singular values and singular vectors between the unitary-symmetric matrix and its mother matrix is derived and proved (hence a fast algorithm of singular value decomposition for unitary-symmetric matrix is straightforwardly obtained), and the corresponding perturbation bound is provided.

该章揭示了酉对称矩阵、正交对称矩阵、 Givens 对称矩阵、 Householder 对称矩阵、置换对称矩阵和行对称矩阵之间的逐级包含关系；推导并证明了，酉对称矩阵的奇异值和奇异向量与母矩阵的奇异值和奇异向量之间的定量关系，据此可得酉对称矩阵奇异值分解的快速算法；给出并证明了摄动矩阵的摄动界。

In order to apply this principle to AC/DC power system, the switch cycle average singular perturbation models of typical converters were made.

建立交直流电力系统中典型电力电子元件的开关周期平均奇异摄动模型，并运用所提出的降阶原则，对简单交直流电力系统进行降阶研究。

Using the perturbation method and Stroh's formula, a nonideal crack, which is mathematically sharp and the opposing crack faces still have a gap in which a stiffless dielectric fills, the two-field problem is reduced to a standard Riemann-Hilbert problem. The internal electric field distribution is obtained by solving a singular integral equation, and then the full field both inside and outside the crack is obtained and the electro-mechanical intensity factors to the first order of accuracy are given.

采用摄动方法对裂尖理想尖锐而裂纹面又具有一定张开的非理想裂纹进行分析，裂隙内含有无刚度的各向同性电介质，利用Stroh公式，将二域问题化为标准的Riemann-Hilbert问题，裂隙内电场分布通过解一个奇异积分方程获得，从而得到裂纹内外的力电全场分布，进而给出一阶精度下的力电强度因子的表达式。

Secondly, we discuss the uncertain discrete-time singular system with control input matrix perturbation.

摘要研究了具有圆盘区域极点约束的一类不确定离散广义系统的鲁棒控制问题。

We have something to do in the new stage.

在这段崭新的时期中，我们有一些要做的。

The difference between tourism decision-making under uncertainty and risky tourism decision-making is indistinctive.

其中不确定性旅游决策和风险旅游决策的界线比较模糊，两者的区分是相对的。