结构方程

The model was solved by the Ritz method, and the orthogonal polynomials generated by the Gram-Schmidt process were employed as admissible function for both disk and blades. With this approach, the matrix derived from kinetic energies becomes diagonal and numerical manipulation can become easy and stable.

采用Gram-Schmidt方法生成正交多项式作为李兹容许函数进行模型的离散化，简化了所得到的频率方程求解过程，有利於求解过程的数值稳定性，并可方便地通过对方程系数性质的分析了解结构振动模态的性质。

In this article, we showed the algebraic structure of syntactic categories based on monoid and defined categorial equation whose solutions are described by consistency and correlation .

本文给出了建立在含幺半群基础上的范畴语法的代数结构，定义了范畴方程和它的解并对范畴方程的解作了分类：相容性的相关性。

In this article,we showed the algebraic structure of syntactic categories based on monoid and defined categorial equation whose solutions are described by consistency and correlation .

摘要］ 本文给出了建立在含幺半群基础上的范畴语法的代数结构，定义了范畴方程和它的解并对范畴方程的解作了分类：相容性的相关性。

The control volume integration was applied to deduce the discrete expressions of the convection-diffusion equations. The staggered grid and SIMPLE algorithm were introduced to deal with coupling between pressure and velocity, and then the numerical computation expressions of such variables as fluid flow velocity and pressure were deduced. Using the backward difference method and incremental theory to discretize the governing equations for fields of chemical reaction, material structure and chemorheology, the numerical computation expressions of variables such as the monomer conversion, average molecular weight and fluid viscosity were constructed.

应用控制容积积分法导出了对流—扩散方程的离散表达式，引入交错网格技术与SIMPLE算法，实现了耦合的压力场与速度场的分离式求解，推导得到了流体的流动速度、压力等物理量的数值计算式；采用向后差分方法和增量方法，实现了化学反应场、材料结构场、化学流变场控制方程的离散，获得了反应转化率、聚合物平均相对分子质量、流体黏度等物理量的数值计算式。

Secondly, we discuss the boundary value problem of two dimensional biharmonic equation in a rectangular field and its variational problem,discretize it by using dual tensor product of and the direct product and lining up of matrices, we get some special matrices which are the presupposition in exploring the fast computation, then solve the system of linear equations.

其次本文讨论了矩形域上二维双调和方程边值问题及其相应的变分问题，利用二元张量积小波分析和矩阵的直积、拉直技巧将变分问题离散化，从而使求解偏微分方程问题变为求解线性方程组的问题。一维情况两组基的张量积下得到的系数矩阵分别为块状七对角阵和稀疏矩阵。这些特殊结构为以后快速算法的研究打下一个基础。

This research method is independent of Green"s function and variational structure. So it can tackle with the BVP for non self-adjoint and self-adjoint difference equations and overcome the difficulties brought about by the establishment of Green"s function, a study of the sign and the estimate of below and above bounded for Greens function.

本章的研究方法既不依赖于Green函数又不依赖于变分结构，因而能解决非自共轭的差分方程边值问题，且克服了Green函数的建立、其符号的判断及其上下界的估计给研究带来的困难，该方法同样适用于研究自共轭的差分方程边值问题。

By exploiting the special structure of symmetric circulant system, the problems of solution of these systems can be simplified to change the problems of lower dimension systems.

研究具有对称循环结构的广义大系统Lyapunov方程和Riccati方程的求解化简问题，利用简化的解求得复杂系统的最优控制问题。

Finally, by means of analysing and analogizing the tendency of dynamic impedence of soil against the circular frequency, a simplified model of soilstructure system is proposed.

最后，本文通过对大量地基动力刚度和阻尼的计算结果的分析，引入了等效刚度质量和等效阻尼质量的概念，从而简化了土—结构体系的运动方程，建立了一个简化的等效模型。在此模型的基础上，使得原本在领域内很难求解的方程可以在时域内进行求解。

The finite element method is one of capable tools of structural analysis ,but its application in the field of the Overhead Catenary system is rare.

有限元法是结构分析计算的有力工具，但在悬挂结构计算中应用较少，本文将接触网按照索结构原理建立计算模型，用非线性有限元方法建立方程，解决了吊弦长度的计算问题。

Based on the crack control criterion, the deflection control criterion in ultimate state of service and the strength control in the ultimate state of load-carrying capacity and the nominal steel percentage of section of beam, the formulas for the calculation of the control moment capacity of T-beam and bridge under the limiting deflection condition、the limiting cracking condition and the ultimate strength state were given, respectively.

在提出名义配筋率概念的基础上，基于结构正常使用极限状态的变形控制、裂缝控制，承载能力极限状态下的强度控制，推算不同极限状态下被预测梁的控制弯矩，并建立了桥梁结构承载能力预测方程，从而完成桥梁结构实用动力预测全过程。

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％。