Compact difference approximation with consistent boundary condition

For simulating multi-scale complex flow fields it should be noted that all the physical quantities we are interested in must be simulated well. With limitation of the computer resources it is preferred to use high order accurate difference schemes. Because of their high accuracy and small stencil of grid points computational fluid dynamics (CFD) workers pay more attention to compact schemes recently. For simulating the complex flow fields the treatment of boundary conditions at the far field boundary points and near far field boundary points is very important. According to authors' experience and published results some aspects of boundary condition treatment for far field boundary are presented, and the emphasis is on treatment of boundary conditions for the upwind compact schemes. The consistent treatment of boundary conditions at the near boundary points is also discussed. At the end of the paper are given some numerical examples. The computed results with presented method are satisfactory.     

边界单元法三维应力分析计算程序

以三维弹性力学问题的基本解 (Kelvin解 )为基础开发了边界单元法三维弹性应力分析计算程序 ,并对其进行了验证。结果表明 ,该程序可用来求解三维弹性应力问题 ,尤其适用于三维应力集中问题。程序中采用动态分配内存 ,自动选点积分 ,并利用分块解法求解方程组 ,有效地节省了计算机资源 ,扩大了求解问题的规模。     

Shakedown Analysis of 3-D Structures Using the Boundary Element Method Based on the Static Theorem

The static shakedown theorem was reformulated for the boundary element method (BEM) rather than the finite element method with Melan‘s theorem, then used to develop a numerical solution procedure for shakedown analysis. The self-equilibrium stress field was constructed by a linear combination of several basis self-equilibrium stress fields with undetermined parameters. These basis self-equilibrium stress fields were expressed as elastic responses of the body to imposed permanent strains obtained using a 3-D BEM elastic-plastic incremental analysis. The lower bound for the shakedown load was obtained from a series of nonlinear mathematical programming problems solved using the Complex method. Numerical examples verified the precision of the present method.     

系统数字频响分析中若干条件的辨析及应用

讨论系统数字频响分析中的线性、时不变、因果、稳定、奇偶虚实分解及其对应等推导求解的条件,明确了如何正确应用这些条件.     

微乳液法合成纳米二氧化硅粒子

制备 Triton X- 1 0 0 /正辛醇 /环己烷 /水 (或氨水 )微乳液 ,研究了该微乳液系统稳定相行为与制备条件的关系 .在该微乳液系统稳定的条件下 ,由正硅酸乙酯受控水解反应制备 Si O2 纳米粒子 ,反应后处理简便 ,制得粒子尺度较均一的球形疏松无定型纳米 Si O2 粒子 .Si O2 粒子粒径尺寸可通过调节水与表面活度剂分子数之比 m、水与正硅酸乙酯分子数之比 n控制 .探讨了影响 Si O2 纳米粒子形貌、粒径分布的因素及制备优化条件     

测度链上非线性微分方程的特征值问题

讨论了非线性特征值问题 u△△(t) λa(t)f(u(δ(t) ) ) =0 ,t∈ [0 ,1]u(0 ) =0 =u(δ(1) ) 正解的存在性 .这里 [0 ,1]是一可测链 ,a与f取正值 ,且limx→ 0 f(x)x 与limx→∞f(x)x 不一定存在     

具有Neumann边界及临界Sobolev指数的半线性抛物方程

主要运用能量方法及稳定集和不稳定集的观点,研究一类半线性抛物方程的整体解和局部解的存在性及爆破问题.这里Ω是RN(N≥3)上的光滑有界区域,2 是临界Sobolev指数.     

预应力钢筋混凝土结构三维应力场的实验

采用三维光弹性应力二次冻结法模拟分析预应力钢筋混凝土结构中的应力 .为了提高实验速度、增强实验结果的可靠性 ,冻结实验时将预应力和负载应力冻结在同一试件中 .就所涉及相似模拟的若干关键问题 ,结合工程实例进行探讨 ,提供了若干有意义的成果和结论 ,给出切片截面内的最大剪应力等值线分布和边界应力分布 .实验应力分析模拟结果与有限元数值法吻合较好 .因此 ,三维光弹性应力二次冻结法是预应力钢筋混凝土结构的实验应力分析中较好的方法     

硝酸法制备拟薄水铝石研究--成胶条件的影响

在不同成胶条件下利用铝酸钠溶液和硝酸制备了拟薄水铝石 ,研究了 pH值、成胶温度、铝酸钠浓度及成胶时间的影响 .结果表明不同的成胶条件对产物的物性有较大影响 .在合适的成胶条件下 ,可以制得纯净的拟薄水铝石沉淀 ;在一定的范围内可通过调节实验参数等来控制拟薄水铝石物化性质如堆密度、比表面积、孔容积、孔径等     

用事件-条件-动作规则表示模糊知识的方法

提出了模糊触发器的概念，采用模糊事件、模糊条件和模糊动作来对触发器进行模糊推理，为在主动数据库及其应用领域表达不精确的应用语义特性提供了可行的方法．通过一个“过热警报”的应用实例说明了模糊事件-条件一动作(ECA)触发器的建立及其实现方法．