几何分布

First of all, this paper analyzes the distributing situation of sectional temperature of two steel frame models within an hour utilizing the transient thermal analyse module of ANSYS;Secondly, carries on the failure analysis to two steel frame models at high temperature and obtains the fire-resistant limit and critical temperature of steel frame, utilizing the static nonlinear analyse module of ANSYS and considering the influence of geometry nonlinearity and material nonlinearity; Finally, according to the fire-protection designing requirement of structure, deduce a method to computer the thickness of fireprotection layer for steel structure and ask out the thickness of fireprotection layer of two steel frame models according to this method .

首先，利用ANSYS瞬态热分析模块，分析出两个钢框架模型在一小时内钢框架的截面温度场分布情况；其次，利用ANSYS静力非线性分析模块，综合考虑几何非线性及材料非线性影响，对钢框架模型在高温下进行失效分析，分析出两个钢框架的耐火极限及临界温度；最后，根据结构防火设计要求，推导出一种钢结构防火层保护厚度的计算方法，并据此方法求出两个钢框架模型的防火层厚度。

An equal cross-section blade was investigated and a finite element model was built parametrically. Geometrical parameters (such as length, width and thickness), material parameters (such as young's modulus and density) and speed of blade were considered as input random variables while the static frequencies and dynamic frequencies were output random variables. Combining the finite element method, response surface method and Monte Carlo method, the statistical properties and cumulative distribution functions of static frequencies and dynamic frequencies were obtained. Probability sensitivities analysis, which combined the slope of the gradient and the width of the scatter range of the random input variables, was applied to quantitatively evaluate the sensitivities of static frequencies and dynamic frequencies with respect to the random variables. The Scatter plots of structural responses with respect to the random input variables were illustrated how to adjust the values of the static frequencies and dynamic frequencies by changing input random variables.

文中以某试验台用汽轮机等直叶片为研究对象，考虑几何参数、材料参数和转速的随机性，通过有限元参数化建模，将确定性有限元方法、响应面方法和Monte-Carlo模拟法相结合，从而获得了叶片静频、动频的统计特性和累积分布函数；同时考虑随机变量的梯度和离散范围对静、动频的影响，通过概率敏感性分析，定量地判断出叶片静、动频对随机输入变量的敏感性；通过绘制叶片静、动频与输入变量的散点图，定量地分析了如何改变随机变量以调整静、动频率的方法。

Allthe models satisfy the precision and strength requirements.6 CFD is employed to simulate the application of tube with static mixer in anindustrial furnace, in which a tube model library containing the geometricalmodel and physical model in common use is build.7 Disturbed flow in tube with static mixer is demonstrated in an experimentsystem designed and manufactured by the author. Fluid field is measured byuse of seven-hole probe method. An experimental system are designed and builtfor this purpose.

建立了一个由模型的几何、物理参数组定义的常用模型的模型库，提高计算效率，缩短放大研究周期。6、提出了基于速度的流场扰流效果的评价方法，将之应用于流场设计和扰流元件结构优化的评价中，获得了量化的评价结果。7、设计、制造流动显示实验系统，验证静态混合式炉管对流体的扰动效果：采用七孔探针流体力学实验方法，在流体力学实验测量系统中，对静态混合式炉管模拟流场的三维速度分布和流体、压力降等进行测量。

Qualitative results are obtained by using this method in fluid fielddesign and structure optimization of disturbing elements.5 Experimental models are made efficiently and accurately by RPM method. Allthe models satisfy the precision and strength requirements.6 CFD is employed to simulate the application of tube with static mixer in anindustrial furnace, in which a tube model library containing the geometricalmodel and physical model in common use is build.7 Disturbed flow in tube with static mixer is demonstrated in an experimentsystem designed and manufactured by the author. Fluid field is measured byuse of seven-hole probe method. An experimental system are designed and builtfor this purpose.

建立了一个由模型的几何、物理参数组定义的常用模型的模型库，提高计算效率，缩短放大研究周期。6、提出了基于速度的流场扰流效果的评价方法，将之应用于流场设计和扰流元件结构优化的评价中，获得了量化的评价结果。7、设计、制造流动显示实验系统，验证静态混合式炉管对流体的扰动效果：采用七孔探针流体力学实验方法，在流体力学实验测量系统中，对静态混合式炉管模拟流场的三维速度分布和流体、压力降等进行测量。

This text passes to carry on several demarcations to the edge diagram, gathering the image to a set that means the shape orders the space relation of constant quantity characteristic.

其特点是，边缘提取不作为目标分割的手段，而仅视为反映图像几何结构分布的低层次特征。

We once believed that such things as the growth patterns of tree branches, and the networks of tree roots, the contours of mountain chains, and the directional meanderings of rivers and streams were random, because that was the simplest of explanations.

……我们曾经认为树枝的生长模式、树根的分布网络、山脊的外形轮廓，以及河流的蜿蜒曲折都是随意产生的，因为这是最简单的解释。但随着分形几何（分形几何学fractal geometry，空间具有不一定是整数的维，而存在一个分数维数。

In this dissertation, the numerical method and optical interferometry experiment for isothermal EHL of finite line contacts are studied. The effects of the profiles and the rolling velocity on the film shape, film thickness as well as pressure distribution of the film are discussed.

本文以滚子类轴承为研究对象，对等温有限长线接触弹性流体动力润滑理论的数值分析方法和光干涉试验进行了研究，探讨了等温油润滑条件下，光滑表面滚子的凸型、凸度量等几何参数和滚动速度与弹流油膜形状、油膜厚度和油膜压力分布之间的关系。

The following results are obtained through above research. 1 The on-line oil monitoring parameters are selected and wear particle fundamental characteristics are defined by analyzing developments, contents of oil monitoring technology and its relation to tribo-system fault. 2 The inductance transducer used to identify large wear particle is developed.

2研制了识别大磨损颗粒的材质和测定其粒度的电感传感器，阐述了磨损颗粒与检测线圈的解析关系，探讨了传感器的理论基础，分析了电感式检测传感器内部的磁场分布，并应用遗传算法优化了传感器几何参数，最后进行了有限元仿真分析。

We proved, under a geometric condition given by Capietto, Mawhin and Zanolin, the infinity and some dense distribution of even or odd symmetric subharmonics for the equation with oscillatory nonlinearity.

本文讨论了具有偶或奇对称性的Duffing方程，在由Capietto，Mawhin和Zanolin给出的几何条件下，我们证明了具有振动非线性的对称Duffing方程有无穷多个对称的次调和解，并且其次调和解具有某种稠密的分布。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。