非公式的

At the same time, the cooperation of the multi-layer frame structure is researched with FEA when the pre-stressed threads are stretching, and the relationship between the beam of stretching layer and the beams of nearly layers is discussed. The layout effect of regular reinforcement in the beam on the pre-stressed effective quantities is also analyzed, and the elementary estimation formula of pre-stressing loss on the multi-layer frame is also deduced according to the pre-stressing loss of one-layer pre-stressed frame structure.

同时文中还运用有限元对多层框架结构在预应力张拉过程中，某层梁预应力的张拉与相邻层梁的影响关系和结构各构件的整体协同工作做了研究，分析了非预应力筋在梁中的配置对框架梁预应力有效量的影响；并且在一层框架梁侧限预应力损失的基础上，扩展了多层框架结构中侧向约束引起梁的预应力损失值的初步设计估算公式。

Algorithm for determining the lower limit of the iterated times in IFSP;2. Stratigraphical division and lower limit of the Quaternary in Hunan;3. At present, the approximate solution of Voigt and Reuss's upper limit or lower limit and the calculating formula of Hashin and Shtrikman's upper limit or lower limit are accurate.

计算复合材料有效弹性模量上、下限的方法中，Voigt和Reuss的上、下限近似解及Hashin和Shtrikman的上、下限计算公式较为精确，但Voigt-Reuss近似解通常忽略了各向异性非均匀体的研究，是一个不全面的结果。

In this paper, the propagation and focus properties for several modes describing hollow beam are analyzed, and the focus properties for hollow gaussian mode are particularly discussed. Furthermore, a new mode, high-order Bessel-Gauss mode, is put forward to describe hollow beams. The results for high order Bessel-Gauss beams propagating through lens focusing system and free space are derived by terms of Collins integral formula.

本文分析了几种描述空心光束数学模型的传输特性和聚焦特性，着重讨论了描述非中空光束的数学模型的聚焦特性；同时提出了一种描述完全中空的空心光束的新模型――高阶贝赛耳高斯模型，并且运用Collins积分公式，分析了这种新模型的空心光束的传输特性和聚焦特性。

Integrate the load transfer principle and shearing displacement method to set up the load transfer equation between the pile of soil, using the discrete and fitting methods to solve the equation so as to educe the pile displacement of arbitrary section as well as the analytical solution. Comparing the results with the soil settlement solved by the Mair equation, the relative displacement can be gained.

1结合荷载传递原理和剪切位移法的思想建立隧道开挖作用下的桩土荷载传递方程，采用离散和拟合两种方法来对该一元二次非齐次微分方程进行求解，可分别得到桩身任意截面处的桩体位移以及桩身位移的解析解，并与基于Mair公式求得的地面下任意深度处的土体沉降进行比较，即可求出桩与桩侧土之间的相对位移。

Defining a matrix of import coefficients, the above expression means that all non-diagonal elements of Q describe imports to country j from each country i expressed as a proportion of j's gross national product.

在定义一个进口系数的矩阵Q时，上述公式应理解如下，Q中所有非斜线部分的元素表示的是J国从各国I的进口货值，表述为国民生产总值的一部分。

A series of formulae of calculating physical base and space metric tensor for 3-dimensional non-Cartesian tensor are presented which can be used to obtain the mathematical model for describing geometry and mechanics of continua such as oil and gas in energy-deliverying.

文章提出了三维非笛卡儿张量的空间度量张量的一系列计算公式，可借以建立油气输送等复杂系统的动量或能量传递的物理问题在任意坐标系中的数学模型。

Give out the trigonometric function solutions of fourth order equations, as a example with rectilinearly accelerating the Kerr black hole, the event horizon of non sphere symmetric and non stationary black hole are studied.

给出了具有实用价值的四次方程的三角解正根公式，并以匀加速直线运动的Kerr黑洞为例，成功的研究了非球对称动态黑洞的"类视界面"。

According to the plane cross section assumption, configuration of a rod is expressed as a history of the cross section with arc coordinate. A special solution which stands for equilibrium in straight line state is obtained from differential equilibrium equation. Linear perturbation equation is derived and its general solution is obtained in which the integral constants are determined by constrained conditions at two ends of the rod. The condition of existence of non zero solution of the integral constants gives to the Greenhill formula of exact elastic rod model, which shows that the boundary of stable area is a closed curve and of symmetry, and inference of shearable and extensible to stability of the rod is depend on three factors: difference between flexibility of shear and extension of a section of the rod, bending stiffness and the length of the rod.

基于平面截面假定，弹性杆的位形表达为截面的弧坐标历程，根据平衡微分方程得到了两端受力螺旋作用时的直线平衡特解，导出了线性化扰动方程及其通解，积分常数根据两端铰支时的边界条件确定，并根据其存在非零解的条件得到弹性直杆精确模型的Greenhill公式，表明稳定域为一对称的封闭区域，拉/压和剪切对稳定性的影响取决于：拉/压柔度与剪切柔度之差，抗弯刚度和杆长这三个因素

In view of disadvantages in present defect reconstruction methods,such as over-long time or excessive need for training samples,a new defect reconstruction method based on similar model and genetic algorithm was investigated as follows:similar model between non-axisymetric defect and axisymetric defect was represented,and proportionality factor was deduced by skin depth equation.

针对以往缺陷重构方法中普遍存在的计算时间长或需要大量训练样本的缺点，提出一种基于相似模型和遗传算法的缺陷快速重构方法，分析非轴对称缺陷与轴对称缺陷之间存在的相似模型，并利用集肤深度公式推导出两者之间的缩比因子，从而将耗时巨大的缺陷重构问题转换为二维轴对称情况下的计算问题；同时为进一步缩短重构时间，提出一种加快遗传算法收敛速度的方法。

Using the perturbation method and Stroh's formula, a nonideal crack, which is mathematically sharp and the opposing crack faces still have a gap in which a stiffless dielectric fills, the two-field problem is reduced to a standard Riemann-Hilbert problem. The internal electric field distribution is obtained by solving a singular integral equation, and then the full field both inside and outside the crack is obtained and the electro-mechanical intensity factors to the first order of accuracy are given.

采用摄动方法对裂尖理想尖锐而裂纹面又具有一定张开的非理想裂纹进行分析，裂隙内含有无刚度的各向同性电介质，利用Stroh公式，将二域问题化为标准的Riemann-Hilbert问题，裂隙内电场分布通过解一个奇异积分方程获得，从而得到裂纹内外的力电全场分布，进而给出一阶精度下的力电强度因子的表达式。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。