加权残数配点法解正交各向异性板的积分方程

本文推导了一般各向异性板弯曲的积分方程,运用加权残数配点法求解了正交各向异性板弯曲的积发方程,本文将部分配点取在边界上,另一部分配点取在域外,只用关于找度的基本积分方程,而不用关于转角的补充积分方程,简化了方程求解和计算程序,由于正交各向异性板没有争析形式的、实用的基本解,本文提出了两种新的近似基本解;加权双三角级数;广义各向同性板解析形式的基本解和加权双三角级数的叠加,算例表明,本文提出的解法和近似基本解适用于各类边界条件的正交各向异性板,具有简单、可靠、精度高等优点。     

正交各向异性平面弹性问题物性值V_(12)和G_(12)的反分析

采用边界元法和卡尔曼滤波对正交各向异性平面弹性问题物性值进行反分析,由有限个观测点的位移值反算出材料常数ν１２和 Ｇ１２．算例表明了该方法的有效性．     

与任意图正交的[0,ki]1^m—因子分解

设G是一个图,k1,…,km,是正整数,若图G的边能分解成m个边不交的[0,k1]-因子 F1,…,[0,]-l因子Fm,则称F＝{F1,…,Fm}是G 的一个[0,ki]1^m-因子分解,如果H是G的一个有m条边的了了图且对任意的1≤i≤m有E（H）E（Fi)=1,则称F与H正交,证明了若G是一个[0,k1 ,…, km-m 1]-图,。H是G的一个有m条边的子图,则图G有一个[0,ki]1^m-因子分解与H正交。     

循环矩阵的一些性质

本文给出了循环矩阵的一些性质.     

具有矩阵伸缩的尺度函数双正交特征

考虑了高维具有矩阵伸缩的尺度函数双正交性问题.给出了这种情形下尺度函数双正交性的三个特征刻划及尺度函数属于L2(Rd)的几个充分条件.     

关于参数设计的一个注记

本文提出了参数设计中方差估计的一种新方法 -非参数估计方法 ,用以代替田口的信噪比中的方差估计。实例表明 ,该方法不但可以对因子进行分类 ,而且可以进行模型拟合的检查     

Higgs机制与变换

Higgs机制在量子场论中作用十分重要 ,它使规范场有了质量 .本文不引入协变导数 ,通过一类变换 ,得到了规范场的质量     

梯形自旋链的一种规范场论的形式

考虑无质量费米场和规范场的Pauli相互作用项的系统,在这一理论中耦合常数为无量纲量.该模型等价于自旋1/2反铁磁XXZ量子链.如在模型中引入费米场的味自由度,则可定性描述二条自旋链的梯形结构系统.在这一系统中不再存在无能隙激发. 关键词： 梯形结构 规范场 自旋链     

Algebraic structure and Poisson＇s theory of mechanico-electrical systems

The algebraic structure and Poisson's integral theory of mechanico-electrical systems are studied. The Hamilton canonical equations and generalized Hamilton canonical equations and their the contravariant algebraic forms for mechanico-electrical systems are obtained. The Lie algebraic structure and the Poisson's integral theory of Lagrange mechanico-electrical systems are derived. The Lie algebraic structure admitted and Poisson's integral theory of the Lagrange--Maxwell mechanico-electrical systems are presented. Two examples are presented to illustrate these results.     

The statistical fluctuation of a single-mode laser system driven by coloured pump noise with signal modulation and the quantum noise with cross-correlation between its real and imaginary parts

Using the linear approximation method, this paper studies the statistical property of a single-mode laser driven by both coloured pump noise with signal modulation and the quantum noise with cross-correlation between its real and imaginary parts, and calculates the steady-state mean normalized intensity fluctuation and intensity correlation time. It analyses the influences of the modulation signal, the net gain coefficient, the noise and its correlation form on the statistical fluctuation of the laser system respectively. It is found that the coloured pump noise modulated by the signal has a great suppressing action on the statistical fluctuation of the laser system; the pump noise self-correlation time and the specific frequency of modulation signal have the result that the statistical fluctuation tends to zero. Furthermore, the `colour' correlation of pump noise has much influences on the statistical fluctuation of the laser system. Increasing the intensity of pump noise will augment the statistical fluctuation of the laser system, but the intensity of quantum noise and the coefficient of cross-correlation between its real and imaginary parts have less influence on the statistical fluctuation of the laser system. Therefore, from the conclusions of this paper the statistical property can be known and a theoretical basis for steady operation and output of the laser system can be provided.