数值分析

Took Chongqing Gong-he tunnel as an engineering example and studied the failure mechanism of surrounding rock and the correlation with bolt support system by using the methods of theoretical analysis, modeling test, numerical simulation and in situ test, some helpful conclusions were arrived as follows.Firstly, a new failure criterion for transversely isotropic rock mass was proposed with consideration of bedding plane orientation and major principal stress, and the corresponding algorithm, arrived through VC++6.0, can be easily embedded into the software FLAC3D for the geotechnical calculation.

论文在国家自然科学基金专项基金创新群体基金项目(No.50621403)以及国家自然科学基金重点项目"隧道与地下空间工程结构物的稳定性与可靠性(No.50334060)"的资助下，以共和隧道为示范工程，运用理论分析、物理模型实验、数值模拟和现场测试等手段，对共和隧道大埋深段层状岩体的围岩变形破坏机理、锚杆支护力学效应及围岩-支护结构的变形特征等内容进行了研究，其主要研究成果有：①在总结和探讨国内外学者提出的层状岩体经验型连续介质破坏准则基础上，结合层状岩体力学特性，考虑层面方向和最大主应力方向两个影响因素，提出了共和隧道层状岩体横观各向同性破坏准则；采用汇编语言VC++6.0实现了横观各向同性弹塑性本构关系的算法，并嵌入FLAC3D有限差分数值分析软件接口中实现数值运算。

The proposed method has the merit that the numerical characteristics of stochastic temperature field response can be obtained by analyzing the random temperature field just in one time.3. Perturbed numerical algorithm of nonprobabilistic convex set theoretical models on the temperature fieldThe uncertain parameters of physical parameters and initial boundary conditions of heat conduction are described by the convex model. The perturbation formulas of the upper and lower bounds of temperature field response with unknown-but-bounded parameters are given via the combination of matrix perturbation theory and the convex set theory model.4. Numerical analysis for transient temperature field with interval parametersConsidering the uncertainties of the transient heat transfer, the physical parameters and initial boundary conditions are regarded as interval variables.

该方法具有只进行一次随机温度场分析便可以获得其响应的数字特征的优点。3、温度场的非概率凸集合理论模型的摄动数值解法将结构导热的物理参数、温度场的初始和边界条件等不确定性参数以凸模型加以描述，基于矩阵摄动理论和处理不确定问题的凸集合理论模型的结合，导出有界不确定参数瞬态温度场响应所在集合的上、下界摄动计算公式。4、具有区间参数的瞬态温度场数值分析考虑结构瞬态热传导问题的不确定性，将结构各物理参数和温度的初、边值条件均视为区间变量。

Numerical solution was compared with and theoretical one,and the influence of shear dilatation on the stress and displacement.

利用现阶段国内外流行的岩土数值分析软件FLAC3D，模拟分析了圆形隧道围岩不同阶段的应力和位移，并把数值解和理论解析解进行了对比；分析了剪胀性对于隧道围岩应力位移的影响，对隧道工程的设计和施工有指导作用和参考价值。

With the development of computer technology and numerical modeling techniques, many numerical methods have been established and applied to this field. Finite element method is one of the most effective.

随着计算机科学和数值计算方法的发展，目前已经有很多数值方法应用于大体积混凝土结构温度应力仿真分析中，其中有限单元法是一种十分有效的数值分析方法。

And the author integrated the ship maneuvering, numeric analysis, the solution method for inverse problems and the control theory, and made the decision that the regularization method is adopted to obtain the coefficients of ship maneuvering, and that immune genetic algorithm is used as the numerical algorithm of the regularization method.

通过分析，综合船舶操纵性，数值分析，反问题的数值解法和控制理论等相关知识，决定采用正则化方法反演船舶操纵运动相互干扰系数，用结合免疫遗传算法的正则化方法作为数值解法来建立船舶操纵运动灰箱模型。

The effect of the elastic-plastic matrix of friction soil with nonrelevant flow rule on the numerical convergence of finite element method is analyzed in this paper; and the effect of elastic modular, poisson ratio and earth pressure coefficient on numerical results are studied in this paper. At the same time, the hybrid element with a mixture of displacement and stress variables and the conventional element with solely displacement variable are compared when used in geomaterials.

在ABAQUS有限元分析软件的基础上，本文研究了服从非关联流动法则摩擦性土体的弹塑性矩阵对有限元数值算法的影响，并研究了弹性模量、泊松比以及地基土压、力系数对数值计算结果的影响，同时探讨了数值分析过程中常规位移元与杂交元在岩土工程中的应用。

Therefore, numerical analysis has been duly noted and come up with a variety of numerical integration, numerical differentiation, as well as the numerical solution of differential equations, the calculation of the volume comes down to basic computing, which laid the foundation of modern computer based on the numerical algorithm.

于是，数值分析受到了重视，研究出各种数值积分，数值微分，以及微分方程数值解法，把计算过程归结为巨量的基本运算，从而奠定了现代计算机的数值算法基础。

We take the nonlinear Klein-Gordonequation in an infinite strap and in a cylinder as examples to illustrate how to deal withnonlinear problems by using Jacobi pseudospectral methods.

Jacobi谱方法和拟谱方法数值分析理论的研究极大地丰富了现有谱方法的理论基础，同时将发展泛函分析、数值逼近论和偏微分方程数值解的相关理论。

The CFD software STAR-CD is used to simulate the normal operating conditions of cold and hot plenums in China Experimental Fast Reator. Complex 3-dimension model is established by using porous medium method. The temperature and velocity distributions of cold and hot plenums are given. These results are compared with the data of the thermal designs of CEFR which have been completed. Meanwhile, the influence of the buoyancy forces is analyzed.

应用计算软件STAR-CD对中国实验快堆正常运行工况中的额定工况进行了三维数值分析，使用多孔介质模型对屏蔽柱的影响进行了模拟，给出了冷热钠池的三维温度场和流场，与已有热工设计进行了比较，并著重分析了浮升力在数值模拟计算中的影响，为事故工况下的设备动态分析及相应的设备力学分析提供了数据。

The CFD software STAR-CD is used to simulate the normal operating conditions of cold and hot plenums in China Experimental Fast Reator. Complex 3-dimension model is established by using porous medium method. The temperature and velocity distributions of cold and hot plenums are given. These results are compared with the data of the thermal designs of CEFR which have been completed. Meanwhile, the influence of the buoyancy forces is analyzed.

应用计算软件STAR CD对中国实验快堆正常运行工况中的额定工况进行了三维数值分析，使用多孔介质模型对屏蔽柱的影响进行了模拟，给出了冷热钠池的三维温度场和流场，与已有热工设计进行了比较，并着重分析了浮升力在数值模拟计算中的影响，为事故工况下的设备动态分析及相应的设备力学分析提供了数据。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新