数值分析

Base on the techniques of the Simulation Modeling and analysis, and computer graphics, this paper research the theory and method o...

本文综合运用油藏数值模拟技术、仿真数值分析方法及计算机图形学等科学理论，进行了油气藏开发动态过程仿真技术与方法研究。

Initial random imperfections of composite panels are assumed to be Gaussian random fields and simulated numerically from their mean and autocovariance functions. Lindstedt-Poincare's perturbation technique is employed to solve the resulting nonlinear equation in the vibration analysis of imperfect composite panels. Monte Carlo analyses are performed for detailed numerical calculations.

层板之随机性几何缺陷以高斯随机场来描述，并利用其平均值函数及自方差函数来做数值的模拟；以Lindstedt-Poincare微扰方法来处理缺陷复合层板之非线性运动方程式，并使用蒙地卡罗法来做详细的数值分析。

Approximating unknown function by barycentric Lagrange interpolation which has advantages of higher precision and good numerical stability, the barycentric interpolation collocation method for analyzing deformation and buckling load of ring is presented.

采用数值稳定性好、计算精度高的重心Lagrange插值近似未知函数，提出数值分析圆环变形和临界载荷的重心插值配点法。

Third, the discussion of the corresponding relationship of the real angles to the apparent real angles is performed, the asymptotic bias and MSE of real angles are given. Fourth, based on above conclusions, the analysis of two typical cases is made by numerical analysis and computer simulation: Case A when the impinging signals are divided into desired signals and interfering signals: it is shown that similar to Cyclic estimation of DOA, the smaller the separation between interfering direction and signal direction, in general, the smaller the estimation variance.

首先，研究了无穷快拍时信号数目有误的最大似然估计，引入了视在真实角度的概念；其次，导出了视在真实角度最大似然估计大样本时的分布以及渐近均方误差的解析表达式，而且还证明了：Stoica性能分析结果是现在的分析结果在信号数目准确时的特例；第三，讨论了真实角度与视在真实角度的关系，给出了真实角度的渐近偏和渐近均方误差；第四，依据前面的结果，利用数值分析和模拟实验的方法对两种典型情况做了分析： 1 在入射信号被分为干扰信号和所需信号情况下：结果表明：与CyclicDOA估计一样，干扰方向与所需信号方向靠的越近，所需信号估计的方差越小，越远离，方差越大。

Practicability of Surface Evolver in evolving prediction of SMT solder joint is reviewed and validated. Chapter five: finite element analysis method based on minimal energy principle with application of Surface Evolver is firstly used in evolving prediction of the kind of BGA solder joint shape.

基于最小能量原理的有限元数值分析方法与边界值积分数学分析方法相比，能更有效地求解各类SMT焊点三维形态成形预测问题，并具有很好的热应力分析延续性和良好的分析精度。

Finite element limit analysis method has the advantage of combining numerical analysis method with traditional limit equilibrium methods.

有限元极限分析法兼有数值分析法与经典极限分析法两者的优点，特别适用于岩土工程的分析与设计。

Meanwhile, this paper systematically summarized the present fractional-order control theory results distributed mostly in such aspects as continuous and discrete time domain analysis, approximated numerical analysis, common frequency domain analysis, plane locus method based on variable transposition, etc, and became an effective foundation of forming a complete control and system theory for fractional-order control systems.

同时，论文对当前国内外已有的分数阶控制理论成果进行了较为系统的整理，主要集中在连续和离散时间域分析、近似数值分析、一般复频域分析、基于变量变换的平面根轨迹分析等方面，具有综述性质，是建立一套完整的分数系统控制理论与系统理论的有效基石。

Therefore, it has the important scientific research value in studying the relationship between the changing of the parameters (including the temperature, the humidity, the grain radius and so on) and the electricity and radioactivity of the medium. Applied the count statistics and the numeral value analysis, the paper analyzes, concludes and contrasts the data sufficiently through the experimentation, and acquires the following results that the resistivity and the polarizability both have the negative relationship with the temperature variety of medium from 0℃ to 200 ℃. The parallactic poalarizability is consistent with the temperature variety in the plan as well as the section, but their trends are exactly opposite. Power supply voltage has no considerable influence to the resistivity and polarizability by using duality variance analysis, however, the detecting depth and the plan position influence them greatly. Different AB/2 interval that increases by degree does not influence variance and the average value of the resistivity and the polarizability remarkably. By using the least double multiplication, the relationship of temperature-time-the influence radius of the fire source is carried up by the mathematic drawing up. After discussing their correl ation, I educe the influence radius of the fire source and carry out the 'trend analysis and forecast to the spacial changing of the temperature and the parallactic polarizability in the end.

本文通过试验并应用数理统计和数值分析等相关理论对所得到的试验数据进行了分析、归纳和对比，得出了介质温度变化在0-200℃内视电阻率和视极化率与温度均表现为负相关性；视极化率与温度在剖面和平面上的变化形态具有很好的一致性，但变化趋势相反；由二元方差分析可得供电电压对视电阻率和视极化率无显著影响，但探测深度和平面位置对视电阻率和视极化率有显著影响；通过假设检验可证不同AB／2递增间隔，对视电阻率和视极化率的方差和平均数影响都无显著性差异；应用最小二乘法对温度——时间——火源影响半径之间的关系进行了数学拟合，讨论了它们之间的相互关系，得出了火源影响的有效半径，太原理工大学硕士研究生学位论文并对温度和视极化率的空间变化作了趋势分析和预测。

In order to verify the accuracy of the modeling built by ANSYS and the precision of the analytical results, the modelings of both rotor and motor are experimented at same time. After the comparisons of the numeric analysis results, experimental values are the foundation to consider the physical meanings and to suitably modify the modeling in order to decrease the differences between both results, to obtain the correct modeling type, to increase the analysis accuracy, and to provide designers a reliable basis.

为了证实本文中软体建模的精确度以及各项分析结果的准确性，以马达为例，在进行马达转子的模态分析时，一方面做马达模态测试实验，经由两者数值分析结果之比较，以实验值为基准，根据有限元素模型的物理意义，作适当的修改，减少分析及实验结果两者间的误差，以获得正确的建模型式，提高分析精确度，使提供给设计者为可靠的依据。

From the result,the stress status evaluation based on geology dynamic division has important significance for the design and implementation of coal mining engineering. geology dynamic division ; geotectonic model ; stress status

本文对荆各庄井田岩体应力状态进行分析，并将结果应用于矿井巷道失稳分析和支护设计、矿山压力预测、沉陷预测等采矿工程的相关问题。1基于地质动力区划的岩体应力分析建立区域地质构造模型、岩性分布模型，根据已知点提供的地应力数据作为边界及加载条件，进行相应的理论或数值分析，是进行区域岩体应力状态

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。