解析法

Using the Newton-Euler approach, the whole complex analytic dynamics equations considering the base link and two leg's 12 links are derived. Based on the complete dynamics model, the reactive force/moment by the ground could be computed in the simulation.

先利用牛顿-尤拉法推导出含躯干和双足之完整解析动力学方程式，由完整解析动力学模式可以计算动态行走过程中，机器人与地面接触所产生的地面反作用力/力矩。

In this paper, Galerkin method is employed. First, test functions to satisfy natural boundary conditions are selected. Then the approximate analytic formulations of the system frequency are derived. Meanwhile the approximate analytic formulation of the limit velocity is got.

采用直接法，首先选取满足自然边界条件的试函数，而后求出了系统固有频率的近似解析公式，同时也得到了极限流速的近似解析公式。

The high-frequency response characters of a simple-supported beam is obtained by NASTRAN.The result is strongly influenced by the mesh size.The comparison based on FEM,SEA and the closed form solution reveals the effectiveness of SEA in the prediction of high-frequency response.

利用NASTRAN软件得到一简支梁从低频到高频的频响特性，研究了不同有限元网格划分对结构高频特性的影响，并通过SEA法、有法元法以及解析解的对比揭示了SEA法在高频响应预示中的有效性。

For the case that the eigenstrains is in the form of linear function of Cartesian coordinates of the points of the inhomogeneity, the solution for the stress and strain fields is analytically derived based on the polynomial conservation theorem, the complex function method and conformal transformation together with the principle of minimum strain energy.

对于夹杂的特征应变为线性分布的情况，基于多项式保守定理，运用复解析函数法、保角变换和最小势能原理，获得了问题的封闭形式的解析解。

As a result, it shows thatthe static or dynamic subsystem optimum alone is not equal to the system optimum. Three initial value problems met in the optimal design of flying vehicle are studied andconclusions are derived that: orthogonal test method can be adopted to decide the initial valueof static optimization problem, some mathematical techniques can be used to deal with thecostate variables of Maximum Principle and decide the initial value of the costate variable,the indirect method can be used to get the analytical solution under ideal case to guide thechoice of the initial control curve in the direct method. With some numerical examples oftrajectory optimization, it shows that all these methods are useful not only in accelerating theconvergence but also in converging to the global optimum.

针对飞行器优化设计中的三种初始值问题进行了研究，以远程弹道导弹弹道的工程优化为例说明，对于静态优化问题，采用正交试验法选取初始值，不仅可以大大加快收敛的速度，而且更有可能收敛到全局最优解；以气动力辅助变轨问题为例说明，用共态变量的一阶泰勒级数展开可以解决极大值原理中共态变量初值难于确定的问题；以二级弹道导弹的主动段弹道优化为例说明，利用间接法在理想情况下得到的解析解来指导直接法初始控制曲线的选择，将大大有利于提高直接法的收敛速度。

The deoxygenation method which is often used in China at the present,both physical method(heating power deoxygenation ,analysis deoxygenation ,vacuum deoxygenation )and chemical deoxygenation (hurling Na-2SO-3 method directly,Fe filings method,hydrazine method) have a certain problem when is used in middle or small boiler supply water.

国内目前常用的锅炉除氧方法，无论是物理法(热力除氧、解析除氧、真空除氧)还是化学除氧(亚硫酸钠直接加入法、铁屑法、联氨法)，应用于中小型锅炉补给水的除氧都存在一定问题。

It is difficult to get the analytic solution of difference equation by using traditional methods with computer.

摘要利用传统方法很难在计算机上实现差分方程的解析解求解，本文提出了一种获得差分方程解析解的线性算法，该算法的基础是完全线形变化法。

New ideas and methods in the paper:1 The formulas on perforated casing collapse strength were deducted, which offereda convenient method to analyze the relationship between casing collapse strength and perforation;2 The stress and displacement formulas on the system of casing, cement anddeformation under the non-uniform load were deducted, which offered the theoretical found for designing optimally casing string;3 The relationship between structure in-situ field of whole oil field and casing failurewere studied, which offered the scheme for the prediction of casing failure. The process of study in the paper:1 For simulating the relationship between the structure in-situ field and the casingfailure in the oil-deformation, the tests of the uniaxial tensile, compress, tnaxial compress and dilatability were made on the samples of the drill cores from deformation of casing failure position in Yuejing II oil field.

本文的主要创新： 1推导出了射孔套管抗挤强度的解析式，为分析射孔与套管强度的变化关系提供了简便的方法； 2推导出了非均匀地层载荷作用下套管、水泥环和地层组合体的应力和位移解析式，并非均匀作用下套管柱优化设计提供了理论依据； 3研究整个油田区块构造应力场与套管损坏关系，为预测套管损坏提供了可行方案；本文的研究过程如下： 1为模拟构造应力场与油层段套管损坏关系，做了大量的岩石单轴抗拉、单轴抗压、三轴试验以及岩石遇水膨胀试验，获得了研究区块岩石的弹性模量、泊松比、内聚力、内摩擦角以及岩石的线膨胀系数，这此数据为本文研究油层段套管损坏机理研究的理论分析和有限元法提供了实验数据。

Two sets of analytic functions are used in the horizontal directions and the method of discreteness is used in vertical direction.

用半解析单元法分析了矩形薄板与无限层土地基的静动力相互作用，提出了板单元和地基单元半解析位移函数。

However, although the author has created such a term, he cannot do as Falun Gong in "disintegrating" other cultures but can only have a simple analysis of "Falun culture", because the author himself is just an "ordinary man" other than any god with "great theurgy" to disintegrate any other people as he wish, and after all, he is not so idle as to read through the insipid "Zhuan Falun", nor can he suborn a gang of people to compose "disintegration" articles like what the Falun Gong organization did.

不过，笔者可没有法轮功那种本事，要"解体"什么文化，自以为对"法轮文化"只能解析一二。一则，本人乃一介"常人"，非上天之神的"肉身"，不可能"具大神通"，想解体谁就解体谁；二则，没有那么多闲功夫去通读味同嚼蜡的《转法轮》，又不能像法轮功那样聚集一帮人马撰写大块"解体"文章，只能点到为止，管窥一豹而已。

The reasons of iron ions content overproof in grade Ⅱ desalting water system,such as variation water quality,contamination of regenerant , operation adjustment of pretreatment system and switching operation of bed were discussed.

对二级脱盐水系统中铁离子含量超标的原因，如来水水质发生波动、再生剂受到污染、预处理系统操作调整、床体运行切换等进行了论述。

You were hired to drum up new business, so go and do it.

公司雇你招徕新业务，你就做你的事好了。