简化法

This paper presents a method for getting initial basic feasible solution of linear programming problem with an artificial variable,comparing with a traditional two-stage way ,it has low computation amount and needs less memory cells for computing,and improve two-stage way simple method.

提出了一种通过对线性规划问题增广矩阵的初等行变换后，引进一个人工变量即可求得初始基可行解的方法，该方法与传统的两阶段法相比，具有计算量小且占有存储空间少的特点，从而简化了二阶段单纯形法。

The model of heat and mass transfer of a biological sample in cryopreservation was solved by perturbation and integral methods.

用摄动法和积分法求解了生物样品的传热传质模型，在模型简化时比较了积分解和精确解，探讨了低温保存中细胞的损伤机理，对冷却介质温度随时间线性变化时相变界面的移动作了实验研究，用自己设计和制作的实验台架和测试装置测量了相变界面的移动和温场的分布。

This study uses the soil parameter reduction coefficients to model the seismic pile responses affected by liquefied soils. One dimensional wave equation analyses were conducted for the solutions. Based on the bore-hole data and nearby seismic record, the soil parameter reduction coefficients of liquefied layers can be obtained through a pre-analysis for liquefaction potential of the site. The reduction coefficients were used to reduce the soil modulus for liquefied soils, and the lumped mass analysis is performed to obtain the free-field response of the site. The ground deformations are superimposed onto the pile elements for discrete wave equation analysis, and the non-linear pile responses can be simulated through the modified Bouc-Wen model. Thus the deformations and failure mechanism of the pile are able to investigate.

中文摘要本研究之土质参数折减系数模式，系以一维波动方程模拟地盘液化状态下之桩基础动力反应，依据现场土层钻探资料与邻近测站之地震纪录，由土壤液化潜能评估法配合日本相关规范求得液化土层之土质参数折减系数，以此系数对土壤强度模数进行折减，并使用集中质块法求取自由场之地盘液化反应，再以此为前置解作用於桩基础之波动方程求解，桩身刚度以简化之Bouc-Wen模式模拟其非线性行为，以了解液化地盘内基桩之变形行为与破坏机制。

In using integral equation, The author brought forth some new idea about the dissection of magnet. The author also made a thorough investigation and study of the fast convergence numeric algorithm of complete and incomplete elliptic integral. In order to make full use of the computer resource, the author considered the symmetry of the magnet structure.

在应用积分方程法设计时，依据设计要求而对源区进行的剖分有独到之处，并对由剖分而引入的各类完全和不完全椭圆积分的快速收敛数值算法进行了深入探讨，还充分利用磁体结构对称性进行简化，以减少计算时间，使得当前的计算机资源能满足积分方程法之所需。

The pressure correction method is used to calculate the two-dimensional turbulent flow in general curvilinear coordinates.

按照进气箱对称面的形状，给出一种简化的二维进气箱几何模型，用微分方程法生成贴体的曲线网格，在任意曲线坐标系下采用压力修正法数值模拟了其内部二维湍流流动。

Based on the table of matrix element of spectrum decomposition, the Helmhotz matrix can be decomposed by recursion of the direct solution. A numerical comparison has been made with the spectrum LU decomposition and direct solution.

通过与谱法分解和直解法在分解精度和分解速度两方面的比较表明，本文方法与谱法相比，在非均匀介质中亥姆霍兹算子矩阵分解时的精度提高10倍；在计算速度方面，混合方法比简化后的直解法快。

The main objective of this dissertation was to develop methodologies with capability of engineering application for simulating flow in fractured rock using discontinuum models. The study work includes three parts. In the first part, numerical methodology of three-dimensional discrete fracture network model casing on hybrid BEM-channel was presented, and the technique for improve the model's computing efficiency was also studied. Firstly in this part, computer simulation methodology based on the Baechermodel for generating network of discrete fractures was presented, which includes the follow details: probability distributions of fracture density,orientation, trace length, size, and aperture and estimation of their statistical parameters; stochastic models of fracture network; Monte-Carlo's simulation method; numerical simulation procedure and technicality.

给出了离散裂隙网络模型所依据的基本假定；发展了基于Baecher模型的离散裂隙网络计算机随机生成技术：详细地推导了单裂隙渗流和多裂隙相交网络渗流的边界单元法公式，发展了离散裂隙网络中稳态渗流的边界元数值技术，并且讨论了相关的具体数值技术细节，如角点的处理方法，单元的自动剖分等：描述了混合边界元—管流模拟方法及其数值实现；研究了裂隙网络的简化方法，并针对裂隙网络边界元法的特点提出了一种改进的分块三角分解法。

Toavoid the shortages in the building of the FEA model, expecially for the analogue of materialnonlinearity, two methods are adopted in the paper, which are the double elements methodand the uniform element method, and the responses of the bridge model under gravity and thefull load are also studied in this paper.

本文采用国内常用的两种简化处理方法双单元法和统一理论法建立了模型，并且研究了桥体自重作用下和桥梁满载作用下的受力情况。

A mathematical model of heat transfer in batch type radiant-tube enameling furnace is established by imagine plane method and the calculation is made.

利用假想平面法建立了室式辐射管搪烧炉传热数学模型，并进行了仿真计算，结果表明，假想平面法能够大大简化室式辐射管搪烧炉内大量的角系数的计算，并可对炉子的有关参数(如辐射管的距径比、布置、炉墙结构等)进行优化计算。

By using the way of equivalent transforming which uses resistor Y connection and triangular connection and the way of equipotential point equivalently transform the same one symmetric linear resistor circuits.

通过用电阻星形联接与三角形联接等效变换法和等电位点变换法对同一对称线性电阻电路进行等效变换，可以发现，在对对称性电阻电路进行等效变换时，等电位点变换法可使等效变换过程和等效变换计算都大为简化。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失