解析式

Based on detailed mathematical model of the heat and mass transfer processes in packed-type counterflow liquid desiccant systems, a set of linear ordinary differential equations describing the transfer processes is obtained by some appropriate simplications.

在建立逆流填料式液体除湿系统传热传质过程的数学模型基础上，通过合理的简化处理，导出了描述这一热质传递过程的常微分方程组，得到了相应的解析解；并与精确数学模型的数值解进行了对比，二者具有良好的吻合性；利用解析解分析了各参数对除湿性能的影响；所得解析解具有较好的理论及应用价

Extended the semi-analytical finite element method into the Dugdale model of elastic-plastic fracture mechanics, the analytical elements based on the Dugdale model of mode Ⅰ and mode Ⅱ crack are constructed. The formulas for the stiffness matrices and load vectors of analytical elements are deduced.

将上面的半解析有限元法应用于弹塑性断裂力学中的Dugdale模型，分别构造了基于Ⅰ型和Ⅱ型Dugdale模型的裂纹解析元，并建立了解析单元的出口刚度阵和荷载向量的列式。

Because of the fact that there exists a mathematical identity between the statically indeterminate moments in the compatibility equation and the fiber stresses in the equation of eccentrically loaded columns, in analyzing singly-connected rigid frames with degree of redundancy not more than 3, it is usually possible to use the familiar formula for short columns eccentrically loaded to analyse the indeterminate moments, which is called the column analogy.

在解析小於三次靜不定的單空剛構時，由於變形諧調條件中，靜不定彎矩的關係式與直柱偏心受壓中應力的關係式形式相似，常可利用在材料力學中已熟悉的偏心受壓柱公式來幫助解析，這就叫做柱比分析法。

Theequivalence percolation resistance law is accurate enough to be used in productivitycalculation of horizontal well pattern.(3) Productivity of mixed well pattern of horizontalwell or multilateral horizontal well and vertical well is constructed and formulae are simpleenough to be used in the oilfield. The patterns include 5-spot pattern,7-spot pattern and9-spot pattern.(4) Productivity formula of united rectangular well pattern of horizontaland vertical wells is constructed. By this formula, the calculation results show that fora horizontal well length, there is a shape factor at which the productivity of the patternis biggest. So optimum method of the well pattern is proposed.(5) A new concept ofdimensionless length of horizontal well is advanced and the relationship of optimum shapefactor of the rectangular well pattern against dimensionless length of horizontal well ispresented. The influences of length of the horizontal well, area of the well pattern unitand the thickness of reservior are concerned.

利用该公式计算表明：当水平井长度一定时，存在一个最优井网形状，使得水平井的产能最大，在此基础上提出了水平井井网的优化方法；(5)提出了水平井无因次长度的概念，给出了联合井网最优井网形状因子与水平井无因次长度的关系式，并对水平井长度、油层厚度及井网面积对产能的影响进行了分析；(6)推导出了一无限水平井井排在XY 平面内势的解析解，为不同水平井整体开发井网或水平井和直井井网整体开发渗流理论的研究奠定了理论基础；(7)建立了交错式水平井与直井整体开发渗流理论，给出了拟三维条件下井网产能的精确解析解及该井网最优井网形状因子与水平井无因次长度的关系，并对产能的影响因素进行了分析；(8)建立了水平井与水平井正排列井网、交错排列井网条件下渗流理论及井网产能在拟三维条件下的精确解析解，给出了交错井网条件下最优井网形状因子与水平井无因次长度的关系，通过与正方形井网对比，说明优化井网可大幅度提高开采效果；(9)建立了分支水平井和直井面积井网水油两相非活塞驱替条件下渗流问题的解析解，给出了见水前后无因次产量与无因次时间的关系式以及见水时间等。

The solutions were found to be good agrees with experimental results. The transfer characteristic of air dry/wet bulb temperature and spraying water temperature were discussed. The LMTD method based on this mathematical model is applicable to design and verify for the plate wet air cooler. The ratio of the wet bulb heat transfer coefficient to the heat transfer coefficient under air-cooled conditions was investigated theoretically and experimentally. The relative errors of the ratio between theoretical and experimental valves are small than 7 percent.

分别得到了平行流型式微分方程组的解析解与交叉流型式的近似解析解，实验验证了该解析解具有较高的计算精度；探讨了空气干湿球温度与喷淋水温的迁移特性；分析得到基于湿球温度迁移模型的对数平均温差法在湿式空冷器的设计与校核计算中是适用的，给出了空气湿球换热系数与空冷时空气对流换热系数比值的理论与实验确定方法，比值系数理论值与实验值比较最大相对误差小于7％。

According to the structural analysis, these have been divided into several composed types such as bedding ductile shear zone, Alpinotype folds, Mt Jura-type folds, transition shear zone, obduction nappe structure and horst-graben structure.

通过构造解析划分出了顺层韧性剪切带、尔卑斯式褶皱、罗山式褶皱、渡性剪切带、冲推覆构造及地垒－堑式构造等组合类型。

Analyzing the calculating process of belt conveyor with high angle theoretically, starting from its theoretic calculate the cross sectional area of materials and peripheral force, shaft power of drum, power of motor, using point by point method to get the resultant strain of every drum and torsion of driving drum, calculating the maximum strain and the maximum reverse stopping torque, to give the support on theory for using belt conveyor with super-long distance, high angle under the coal mine.

本文针对长运距、大倾角、高强度带式输送机设计过程中存在的问题，从四个方面对大倾角带式输送机进行分析研究：从理论上解析大倾角带式输送机的计算过程，从大倾角带式输送机的理论入手，详细计算物料的横截面面积、圆周力、滚筒轴功率和电机功率，利用逐点计算法计算各个滚筒的合张力以及传动滚筒的扭距，计算出胶带的最大张力和最大逆止力矩，给长运距、大倾角皮带机在煤矿井下的使用给予理论上的支持。

This paper presents the explicit expression of geodesic equation on a paraboloids of revolution using differential geometry which avoids the complexity of geodesic ray tracing by numerical approach.

本文根据微分几何原理，从广义费马原理出发，得到了旋转抛物面上短程线的解析式，避免了数值方法射线寻迹的复杂性。

The main contents and fruits:(1) We got the theory formula of the frequency domain of the 3D any-angle fault for applying to simulate the gravity anomaly of the fault.

本论文主要内容及成果：(1)给出了三维任意倾角断层重力异常的频率域理论解析式，可以用于模拟断层构造产生的重力异常场。

Based on the mathematical model and the Romberg numerical integrating algorithm, an array with 40 sets of data was obtained to describe the aspheric surfaces. By fitting the data with the method of the nonlinear least square, the sag's analytical equations of aspheric surfaces were obtained.

根据基于几何光学原理导出的系统理论模型，采用龙贝格数值积分算法得到40组描述非球面的数据，非线性最小二乘法拟合数据，获得两个非球面矢高解析式。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。