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In architectonics, the calculation of rectangular plate on elastic foundation, in common, is used by the finite element method and chart .

在建筑结构设计中的局部均布荷载作用下非均匀弹性地基上矩形板的计算一般采用有限元法和图表,在理论上很难获得一般性的解析解。

Here n is the number of dimensions and Ii is a closed bounded interval describing the entries of the object along dimensional i.

如果对于( I , child-pointer)中, child-pointer 是低一层结点的话,非叶结点则存储着条目,并且 I 存储着低一层的所有节点的外接矩形。

In rectangular microwave resonator, under the action of high frequency electro-magnetic field and inhomogeneous static magnetic field, the electron cyclotron resonance motion of the plasma electrons have been studied.

对矩形微波谐振腔中的等离子体,在高频电磁场和非均匀稳恒外磁场作用下的电子回旋共振运动进行了讨论。

The main purpose of this study is to find the solution of the two- dimension irrotational flow and supercritical flow in channel contractions. For irrotational flow, the potential function is used to compute the water depth and velocity distributions in constriction channel.

本文的主要目的为分析二维渠道中非旋流及超临界流之流况,针对二维束缩段非旋流时,利用等势能函数来计算矩形渠道收缩段之水深及流速分布。

There have been a lot of studies this aspect when the exact solution u∈H~2 or u∈H~3. [4], [52] and [50]studied the convergence of conforming linear triangle elements with minimal regularity assumptions u∈H~4, here u is the solutions of the second order elliptic problems. However, their is another vital deficiency of the previous studies, i.e., they relies on the regularity assumption or quasi-uniform assumption on the subdivision of meshes.

对二阶问题,构造了一个新的单元格式,当其精确解具有低正则性时,在不要求网格满足正则假设或拟一致假设的条件下,我们得到了最优误差估计,与[33]相比,我们的证明方法较为简单;对于Stokes问题,研究五节点非协调矩形元对它的逼近,通过引入全新的估计方法,给出了关于速度、压力的超逼近性质。

The stability of Functionally Graded Material rectangular plate made of metal and ceramic under the action of non-conservative force is analyzed.

对由金属和陶瓷两种材料制成的功能梯度材料(Functionally Graded Material,FGM)矩形板在非保守力作用下的稳定性问题用微分求积法进行研究。

Differential Quadrature Method, one of numerical methods of solving boundary problem of differential equation is introduced in this paper. By using DQM, the dynamic stability of pipes conveying fluid and rectangular plates under the action of non-conservative force is studied. The main research work is as follows.

本文首先介绍了求解微分方程边值问题的一种数值方法—微分求积法,然后采用微分求积法分别对输流管道和非保守矩形薄板的稳定性问题进行了分析研究,具体有如下三方面的研究内容。

The rule of micro channel section shape, such as circle, semicircle, trapezia, rectangle, regular triangle, influencing non-Newton and non-iso-thermal fluid flow capability was investigated with Moldflow MPI software based on Navier-stokes momentum equation for PMMA material.

采用基于Navier-stokes运动方程开发的Moldflow MPI软件,以PMMA材料为对象,研究圆形、半圆形、梯形、矩形和正三角形5种微流道截面形状对非等温非牛顿流体流动性能的影响。

From the angle of a beam-forming, the cross- range focusing principle of the synthetic-aperture radar based on nonsinusoidal waves is studied. The expressions of antenna pattern for both rectangular signa l and Gaussian signal are presented. Compared with the conventional narrow bandw idth SAR whose cross-rang resolution is determined by the carrier frequency, th e cross-range resolution of the nonsinusoidal SAR is affected by the signal ban dwidth.

为研究非正弦波SAR的方位向分辨力,从波束形成的角度分析了非正弦波SAR的方位向聚焦原理,导出了基于矩形脉冲和高斯脉冲的合成孔径天线阵列方向图表达式,并与常规窄带SAR进行比较,指出影响非正弦波SAR方位向分辨力的主要因素为合成孔径长度和信号带宽,而与信号载频无关。

As a application of this theory, we discussed the interpolation problems in which the nodes are ununiform rectanglar grids in real space. We gave the lowest interpolation bases of nodes in rectanglar and sidestep-shaped area. Another application is for finite elements theory. We mainly discussed finite elements of Hermite-Birkhoff type interpolation and gave a new algorithms for a interpolation bases.

作为上述理论的具体应用,我们一方面讨论了插值节点为实空间上的非均匀矩形格点的插值问题,主要给出了矩形区域和阶梯形区域中格点上插值问题的按序最低的插值基的一般公式,另一方面我们研究了多元插值在有限元中的应用,主要是针对Hermite-Birkhoff型插值的有限元给出了计算插值基函数的算法。

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Lao Qiu is the Chairman of China Qiuyang Translation Group and the head master of the Confucius School. He has committed himself to the research and promotion of the classics of China.

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