查询词典 rayleigh quotient

For the raft, an isoparametric element method and VoigtKelvin model are adopted, which can be used to derive viscoelastic element stiffness matrices, a reform of successive approximation of Rayleigh Quotient is used to solve the eigenvalue problem of the composite structure.

对于筏架结构，采用Voiget-Kelvin模型及等参元法，推导了约束阻尼层单元的刚度阵及将Rayleigh商的迭代步骤加以改进的方法来进行特征分析；对于艇体结构与声学介质耦合部分，采用艇体结构的"干"模态作坐标变换。

The paper proposes the TLS approach that minimizes the two kinds of errors.A Rayleigh Quotient formulation based on regularization is used to enforce a smooth solution.Then a conjugate gradient algorithm is used to minimize the modified RQ function.

该方法能同时最小化这两种误差，采用基于正则化的Rayleigh商来光滑解，用共轭梯度算法来迭代求解该正则化Rayleigh商的最小化函数。

Considering the randomness of both elastic module and mass density of the structures, the element′s structural stiff and mass matrix have been built, the structure dynamic characteristics is analyzed based on probability, and the digit characteristics of natural frequency random variable is derived from the Rayleigh′s quotient.

利用随机因子法，建立了考虑结构弹性模量和质量密度同时具有随机性时结构的刚度矩阵和质量矩阵；从结构振动的瑞利商表达式出发，利用代数综合法推导出结构特征值随机变量数字特征的计算表达式。

Combining Rayleigh quotient of the stiffnesss matrix,the index used to estimate the manipulator continuous stiffness was defined,and spatial graphs of the stiffness performance were plotted.

文中还结合刚度矩阵瑞利商定义了连续刚度判定指标，绘制了刚度性能空间图，进一步探讨了该机构的方向刚度特性，为平面并联弹性铰机器人机构刚度的分析提供了一种新颖通用的方法。

In study of the truss structural dynamic characteristics analysis, randomness of the structural physical parameters and geomtric ones are all considered. The finite element model of the stochastic truss is built and the random functions of its natural frequencies are obtained by use of the Rayleigh quotient. Employing probabilistic distribution function expression for the random functions, through a series of mathematical processing including determination of limits of integrals, variable substitution etc., the probaabilistic density function for the truss natural frequencies are gained to realige accurate calculation for the reliability of the truss natural frequencies.

考虑结构物理参数和几何参数的随机性，通过构建随机参数桁架结构的有限元模型，利用瑞利商公式获得了结构固有频率随机函数的计算表达式，应用随机函数的概率分布函数表达式，通过确定积分区间、变量替换、积分顺序变换等一系列数学上的处理，获得结构固有频率的概率密度函数，进而实现对结构固有频率可靠度的精确计算。

By introducing the steepest descent algorithm , conjugate gradient algorithm , Newton algorithm , Rayleigh Quotient Iteration algorithm and variable metric algorithm , the MSBMDA is implemented iteratively.

MSBMDA算法将盲多用户信道估计或多用户信息符号估计的模糊度限制到以±1，±j为元素的对角矩阵内，并消除了用户次序的模糊度。

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。

The internal relation between a large number of existing aerodynamic sketches and performance parameters of centrifugal fan is analyzed and investigated by means of statistical method,the correspondence relation between speed coefficient and diametral quotient,impeller outlet breadth and diametral quotient is found.

应用统计的方法对大量已有离心通风机的空气动力学略图和性能参数之间的内在关系进行分析研究，发现了速度系数σ与直径系数δ之间以及叶片出口宽度b2与直径系数δ之间存在着对应关系，利用这些关系提出了确定风机叶轮主要参数的新方法。

Based on the ideas that linearity instead of non-linearity and difference quotient instead of differential quotient, and establish the mathematical model on the computer-aided alignment.

总结了用于计算机辅助装调技术中的光学检测手段以及该技术的优化算法，分析了进行计算机辅助装调技术的重要性和必要性。

By the analysis above,we can define a quotient topology on a fibrewise set and then get the fibrewise quotient topology ,and it extends some properties of the general topology.

通过本文的分析，可知在纤维拓扑学中仍然可以在一个纤维集上定义商空间使其成为纤维商空间，并且它还延续了一般拓扑中的一些性质。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。