简化方程

The simulative model of temperature field and stress field in concrete , Heat and moisture coupling、Parallel simulative calculation of concrete with water pipe cooling、 Parallel feedback analysis of thermal characteristic parameters, and stress intensity factor of induced joint, which are the sixty-four-dollar questions, are studied in this dissertation. The main contents of this dissertation are as follows:(1)Based on the past and current research work, the calculation theory of the transient temperature field and creep stress field of mass concrete which self temperature influence is considered is deduced. The couple effect between the temperature field and humidity field of concrete, is considered on the basis of conservation law of water and energy, and the coupled formulation which coefficient is not constant of the heat and moisture in concrete is deduced. The calculation theory and model which is theoretically strict for solution to thermal problem in concrete with water-cooling pipes are recommended.

本文主要针对混凝土的温度场应力场仿真计算模型、热湿耦合、水管冷却问题的并行仿真、混凝土温度参数并行反演分析以及诱导缝应力强度因子计算等混凝土大坝温度应力数值仿真的关键技术进行了较为深入的研究，全文主要内容如下：(1)在现有研究基础上，推导了考虑自身温度影响的混凝土非稳定温度场和徐变应力场的计算理论；基于水分质量守恒和能量守恒原理考虑混凝土温度场和湿度场的耦合作用，推导了混凝土的变系数热湿耦合方程，并建立了相应的计算模型；引用严密的水管冷却混凝土温度场的计算理论和计算模型，比较了两种简化计算方法用于水管冷却混凝土仿真计算的不足。

For convenience of finite element discretization and preserving symmetry of the stiffness matrix, approximation and symmetrization of the continuum equilibrium equations were conducted.

为了便于进行有限元离散化并保持总刚度矩阵的对称性对连续介质平衡方程进行了简化和对称化处理。

This article mainly simulates gradually damage destruction process of rock, major in determinationg the definition of rock three-dimensional damage tensor, simplify to the damage tensor and obtain its engineering calculation method, and obtains the basic expression form of equivalent stress by equivalent stress assumption, symmetrization to the actual stress, thus obtains construction relation of the festival principle of three-dimensional damage rock mass, finally couples elasticity- plasticity with damage in the finite element equation, with reference to elasticity-plasticity gradually degenerated method thought, simulates rock damage to advance gradually the destruction process in finite element method, draws up elasticity - plasticity and damage coupling two-dimension finite element procedure with the C language in the VC contact surface, by simulating experiment destroyed process, acquires destruction image and the axial load distortion curve of model, agreement with the experimental result.

本文主要模拟岩石渐进损伤破坏过程，确定岩石三维损伤张量的定义，对损伤张量进行简化计算并得出其工程计算方法，采用等效应力假设得出有效应力的基本表达形式，对有效应力进行对称化，得出节理损伤岩体的三维本构关系，在有限元方程中实现弹塑性和损伤耦合；借鉴弹塑性渐进退化方法的思想，采用有限元的方法模拟岩石损伤渐进破坏过程，用C++语言在VC界面编制了弹塑性和损伤耦合的二维有限元程序，通过模拟已有的实验破坏过程，得出模型的破坏图像和轴向荷载变形曲线，与实验结果基本一致。

Hence, the convergence of solution is easily achieved. Comparing models on the traditional C-grid, our model solve the tangential momentum equation and avoid the inaccuracies caused by the simplicities of the C-grid.

本文模型与传统的C网格上的非静水模型相比，增加了对水平切向动量方程的求解，消除了因C网格的简化处理所带来的精度损失。

The reduced Lagrange density of nonlocal nonlinear Schrodinger equation is obtained by expanding the real symmetric response function in Taylor's series in strongly nonlocal Kerr media.

在非局域非线性克尔介质中，通过对介质实对称响应函数的泰勒展开，简化了非局域非线性薛定谔方程所对应的 Lagrange密度，进而利用变分法对光束的传输问题进行了分析。

On the basis of the principles of differential geometry, We have found the balanced eq ations of the ideal sliver and obtained the for,nulas for calculation of torsional moment .

本文建立了固定假捻器的简化模型，根据微分几何原理推导出理想纱条的平衡方程，并得到扭矩的计算式。

A simplified numeric algorithm expression for solving transcendental equation of optical constants was obtained by analyzing the test principle of ellipsometer. A Microsoft Windows based calculating program for optical constants of thin films with "Solve Block" module of MathCAD by ellipsometer was developed. It can be used to calculate refractive index and thickness of thin films with little absorption or even no absorption as its feature.

通过对椭圆偏振仪测试原理的分析，得到求解薄膜光学常数超越方程的数值算法简化公式，并利用MathCAD的"Solve Block"模块开发了基于Windows系统的椭圆偏振测量薄膜光学常数的计算程序，该程序可用于单层有吸收薄膜或无吸收薄膜折射率和厚度的计算。

A simplified numeric algorithm expression for solving transcendental equation of optical constants was obtained by analyzing the test principle of ellipsometer. A Microsoft Windows based calculating program for optical constants of thin films with "Solve Block" module of MathCAD by ellipsometer was developed.

通过对椭圆偏振仪测试原理的分析，得到求解薄膜光学常数超越方程的数值算法简化公式，并利用MathCAD的"Solve Block"模块开发了基于Windows系统的椭圆偏振测量薄膜光学常数的计算程序，该程序可用于单层有吸收薄膜或无吸收薄膜折射率和厚度的计算。

Developed two computer software namedSEMA and MMEA, which can calculate the single line mooring force and thestiffness matrix of the whole mooring system. And use these softwares to compute theforce-excursion relationship of a four lines moored Spar platform in different intialhorizontal force conditions, shown the influences of the intial horizontal force to themooring stiffness. 3. The Spar can be simplified as a large diameter, truncated cylinder, we focus onthe diffraction problem in bichromatic incident waves, and the boundary integralequation method is applied.

按照上述理论和方法编制了计算单根系泊索系泊力的SEMA程序和计算系泊刚度的MMEA程序，并利用这两套程序，在不同预张力的初始条件下，对一座四索系泊Spar平台的系泊系统进行了分析，揭示了Spar平台整体系泊力随位移变化的规律， 3、将Spar平台主体简化为大尺度的直立浮动圆柱体，对双频入射波作用下平台主体的绕射问题进行了深入的理论研究，并且采用边界积分方程法，对二阶差频波浪力进行了求解。

According to atom balance principle,for complicate oxidation -reduction reaction equation,based on many existing balancing methods,from the angle of unfixed equation,this paper introduces more simple balancing method which is called undetermined coefficient method,this method simplifies original results.

根据原子平衡原理，针对较为复杂氧化还原反应方程式，在众多已有的配平方法基础上，从不定方程的角度，给出了更为简捷的所谓"待定系数"配平法，从而简化了原有结

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。