结构公式

An empirical formula, r~x~-~y=0.618λ/sinθ, has been applied to carry out qualitatively structural analysis of the diffraction curve, and another r~x~-~y=7. 766/s to calculate the interatomic distance of some strong peaks from the reduced intensity curve.

用经验公式r~x~-~y=0.618λ/sinθ进行溶液衍射曲线I-θ定性结构的分析，而用另一经验公式r~x~-~y=7.766/s计算加权结构函数曲线s·i-s上某些强峰的原子间距。

The following is the main works of the paper.1 The weight and the center of weight of the whole hull, analysis by statics the weight of steel, the equipment, oil, water, crew and cargoes etc., conclude a method of calculating the weight and the center of weight of the whole hull,2 Work out the series of formula of distributing the water pressure of wave to the corresponding nodes on the plate, conclude a method of calculating the flotage and the center of the flotage,3 Analysis the method of adjusting the equilibrium of the hull, the finite element module of the hull, and the character of the linetype, by ship statics principle, work out a series of formula of adjusting longitudinal slant, preliminarily confirm the parameter and the range,4 Program in FORTRAN, and link into ANSYS, for auto-loading when analyzing the whole hull by the FEA,5 Make the finite element module of a real hull, calculate the weight and the center of the weight, the flotage and the center of the flotage, compare the result of manual calculation with the computed result, analysis the deviation of the program.

3通过分析船舶常用浮态调整方法、船体结构有限元模型和船体线型特征，运用船舶静力学原理，推导船舶浮态纵倾调整公式，分析了基于船舶结构有限元模型的纵倾浮态调整方法和初步探讨了纵倾浮态调整中的参数确定方法以及初步确定这些参数的取值范围。 4用本文推导的计算方法和公式开发FORTRAN程序，并编译连接到有限元软件ANSYS中，用于进行整船结构有限元分析时自动加载计算。

Based on the load transmission mechanism of space truss, and referenced theanalysis of test materials, a formula for calculating the bearing capacity of reinforcedconcrete compression strut is introduced. By using the theory of plastic hinge-line, anupper limit solution of bent bearing capacity for four-pile cap, which coincidesprecisely with the practical measurements, is obtained. By utilizing the reaction ofthe soil under cap and by basing on the method of plastic ultimate analysis, an upperlimit solution of punching shear bearing capacity for pile cap is acquired, which. coincides precisely with the practical measurements, and the formula is similar to thecode.A brief discuss on cooperative work of strip beam of foundation and single rankof piles is made. Separately considering the pile-cap and the pile-group, thencoupling their matrix of rigidity, the inner force of pile-cap is solved by the numericalmethod under some reasonable supposition. In comparison with other method, thecalculating results are exact, reliable and convenient in using. The method provides apowerful tQol fOr further analysis and research on this kind of structure.

本文以空间桁架传力机理为基础，结合试验资料分析，推导了钢筋混凝土等边三桩承台受冲切承载力计算公式；根据塑性铰线理论，导得了与试验结果吻合良好的四桩承台受弯承载力的上限解；利用承台底土反力分布，根据塑性极限分析方法，导得了桩基承台受冲切承载力的上限解，在此基础上，通过简化假定，得到与规范公式相类似的承台受冲切承载力实用公式，该公式能方便考虑台底土反力作用，与试验结果的吻合程度比规范公式好；简要讨论了桩基条形承台梁与单排桩的协同工作分析；在一些合理假定的基础上，将承台与群桩分开考虑，分别得到其刚度矩阵后进行耦合，通过数值方法求解承台内力，算例表明，该方法结果准确，使用方便，为该类结构的进一步分析研究及工程设计提供了强有力的工具。

Dynamic reliability under Littlewood-Paley wavelet is the biggest, dynamic reliability under modified meyerwavelet and harmonic wavelet are close. Analyzing the dynamic reliability of structure under odd exponent wavelet is very simple, it doesn't calculate Power Spectral Density function integral, it is only to calculate the square of displacement standard deviation and the square of velocity, then the dynamic reliability of structure can be concluded by max distribution. In addition the effects of upper limit is considered, when upper limit is smaller, the dynamic reliability of structure is less, that is, the damage possibility is bigger.

通过结构地震反应在小波基下的动力可靠性分析说明：无论是单自由度还是多自由度从理论上推导在这四种小波下的结构动力可靠性是可行的，而且考虑的结构地震反应都是非平稳的高斯过程，方法实现也比较容易；在Littlewood—Paley小波基下求得的结构的动力可靠度比较大，由改造的meyer小波和谐波小波求得的动力可靠度略有差异；单边指数小波下的结构动力可靠性分析非常简单，不用求功率谱函数来积分，只需求得结构地震反应的位移方差，速度方差，利用最大值分布公式就可得到结构的动力可靠时程；另外也考虑了超越界限对结构动力可靠度的影响，超越界限越小，结构的动力可靠度越小，即破坏概率越大。

Dynamic reliability under Littlewood-Paley wavelet is the biggest, dynamic reliability under modified meyerwavelet and harmonic wavelet are close. Analyzing the dynamic reliability of structure under odd exponent wavelet is very simple, it doesnt calculate Power Spectral Density function integral, it is only to calculate the square of displacement standard deviation and the square of velocity, then the dynamic reliability of structure can be concluded by max distribution. In addition the effects of upper limit is considered, when upper limit is smaller, the dynamic reliability of structure is less, that is, the damage possibility is bigger.

通过结构地震反应在小波基下的动力可靠性分析说明：无论是单自由度还是多自由度从理论上推导在这四种小波下的结构动力可靠性是可行的，而且考虑的结构地震反应都是非平稳的高斯过程，方法实现也比较容易；在Littlewood—Paley小波基下求得的结构的动力可靠度比较大，由改造的meyer小波和谐波小波求得的动力可靠度略有差异；单边指数小波下的结构动力可靠性分析非常简单，不用求功率谱函数来积分，只需求得结构地震反应的位移方差，速度方差，利用最大值分布公式就可得到结构的动力可靠时程；另外也考虑了超越界限对结构动力可靠度的影响，超越界限越小，结构的动力可靠度越小，即破坏概率越大。

Optical Formula Recognition is not only the sign of formula recognition, but also include the extraction of the formula, the record of two dimension structure of the formula and so on.

数学公式的识别不仅只是公式中符号的识别，其还包括了公式抽取，公式二维结构的记录等方面的研究。

Founded on above theoretical and experimental results, the calculating model used for designing purpose of ACMR was proposed, and the structure's simplified designing formula was derived from its loading and buckling mechanism.

在上述理论与试验研究的基础上确定了这种结构的设计计算模型，从这种结构的受力及破坏机理出发推导了结构简化设计公式，并通过大量的二阶分析确定了公式中的所有系数。

Based on the original damping coefficients formula, the improved Reynolds equation is presented and the damping coefficients formula include the frequency variable is recomputed. The relation with the damping coefficients and working frequency is obtained and the results are certified using the finite element analysis simulation. Moreover, the damping coefficients of perforated-hole film are obtained on the basis.

本文在推导原阻尼系数公式的基础上，提出了改进的雷诺方程，重新推导得到了包含频率信息的膜结构阻尼系数公式，指明了阻尼系数与工作频率之间的关系，并通过有限元仿真分析给与验证，同时在此基础上得到多孔方形膜结构的阻尼系数。

The formula calculating the first frequence of the bridge with the pile foundation is derived by using the Rayleigh Principle.

用Rayleigh法推导了桩基桥梁的第一自振频率的近似计算公式；在动力学效的原则下建立了桩—上—上部结构体系的等代简化模型，导出了动力等效嵌固深度l〓的计算公式，并与静力等效嵌固长度Z〓的计算公式进行对比分析，给出了静力公式的误差范围。

The formula relation trees are reconstructed into MathML document on the basis of the realized relation trees generated from the formula symbols recognition and structure analysis programs.A formula editor is designed to re-edit and reuse formulas.

在已实现的公式符号识别与结构分析程序所生成的公式关系树基础上，将公式关系树重构为MathML文档，并设计公式编辑器，实现了公式的再编辑和重用。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。