查询词典 structure equations

In the light of the complex, high-level and non-linear feature of the mathematical model which describe the transport of the coalbed methane, this paper study the fully-implicit solving method of the mathematical model in detail. Based on the complexity of the algebraic equations which are formed eventually, according to the alternating direction implicit difference pattern, this paper use the iterative method and the fully main element Gauss-Jordan eliminating method to solve equations, which is to use the iterative method to determine coefficient matrix and use the fully main element Gauss-Jordan method to solve th linear algebraic equation group, at the same time of studying the solving method of the mathematical model, according to the devising requirement of FORTRAN77 program structure, this paper draw up computer program and form the corresponding computer model, and verify the validity and reliability of the model in theory by operating the model.

重点研究了模型内、外边界及有关参数的处理，针对描述煤层甲烷运移的数学模型是一个复杂、高阶非线性数学模型的特点，详细研究了模型的全隐式求解方法，根据最后形成的代数方程组的复杂性，按交替方向隐式差分格式，采用迭代与全选主元高斯约当消去法相结合的方法求解方程：即确定系数矩阵采用迭代法，求解线性方程组时采用全选主元高斯约当消去法，在研究模型解法的同时按FORTRAN结构化程序设计的要求，编制计算机程序，形成相应的CBMRS计算机模型，并通过模型的运行从理论上证明了模型的正确性与可靠性。

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。

Major research work and conclusions are summarized as follows:1 The development of molecular distillation are reviewed in respect of the principle, model research and application; The technical and structure parameters are analyzed with respect to the evaporation rate and separation factor.2 Based on analysis of heat transfer and mass transfer process in WFMD, the discretization forms of bow wave ordinary differential equations and film partial differential equations are obtained with Runge-Kutta method and finite difference method respectively.

主要工作与研究结果如下： 1 综述分子蒸馏技术的应用及其发展现状，从分子蒸馏技术的原理、模型研究及其应用的发展等进行了系统评述；并结合蒸发速率和分离效率这两个评价分子蒸馏效果的重要指标，对刮膜分子蒸馏器工艺参数与结构参数进行了分析与讨论。

The first is that a symplectic structure or a Poisson structure exists on the even dimensional phase space or on the odd dimensional phase space of the corresponding equations. The second is that there is another symplectic structure or another Poisson structure on the generalized phase space which consists of original phase space and independent variable space.

第一、系统在相空间上存在一个一般辛结构或者Poisson结构；第二、系统整体在包括了自变量的增广空间上存在一个一般辛结构或者Poisson结构；第三、第一个结构若是依赖于自变量，那么系统必然受到外力作用（偏微分方程也有特殊的情形，我们在第五章会加以说明），而第二个结构的则给出了第一个结构和外力之间确切的对称关系。

Linear differential equations of the principle of superposition theory of linear differential equations play an important role, especially in solving linear differential equations of the nature and structure of play to solve the problem of reducing the complexity and difficulty of the role.

请帮忙翻译一下摘要，跪谢线性微分方程解的叠加原理在线性微分方程理论中占有重要地位，尤其是在解决线性微分方程解的性质和结构问题中起到了降低解决问题的复杂度以及难度的作用。

Therefore, basic methodologies for stochastic seismic and filtering responses of nonlinear structure are studied, the approximate solution methodologies and their practical applications are investigated in the dissertation employing equivalent linearization and moment equations method based on FPK equations and Ito stochastic differential equations. The research works are mainly concerned with the following aspects:Firstly, the differential expression of bilinear hysteretic is studied and a new differential expression is developed, then they are demonstrated.

因此，本文基于FPK方程和伊藤随机微分方程，研究了滞后结构物的随机地震反应和随机滤波问题的基本方法，并利用等效线性化法和矩方程法，研究了非线性结构随机地震反应分析和随机滤波分析的近似解法及它们的工程应用。

Redundant driving structure designed based on a new type of universal Cartesian serial-parallel manipulator, kinetics equations and Euler equations constructed, complete analysis of each jointed points of the moving platform carried out, inverse kinetics solution can be obtained with the given parameters, which include the position and orientation of the manipulator, applied force on the output shaft, parameters of motion of output shaft and connecting bar and sliding block, computer programming adopted to get the valid data and its figure, thus found the perfect show of this redundant driving structure compared to the primary mechanism without redundant driving.

对全新结构的万能直角串并联机构进行冗余驱动设计，通过建立动力学万程和欧拉方程，对机构的动平台各输入铰点处的受力状况进行了全面的分析，已知机构在给定空间位置和姿态下的输出端的受力、主轴的运动参数、连杆的运动参数、水平和垂直运动滑块的运动参数时，可以反向求解机构约动力学反解，通过计算机语言编程计算和绘图得至（直观有效的结果数据，由此得知冗余驱动在改善原机构的动力学特性方面的良好表现。

Prior research on capital structure by Titman (1988) utilizes structural equation models to find out the determinants of capital structure. In this paper, we use the same methodology and add another endogenous variable – stock return to construct two equations. One regards capital structure and the other one regards stock returns.

Titman (1988)曾利用求解结构方程模式的统计软体–LISREL找寻影响公司资本结构的隐藏因子，本文乃以此篇论文为基础并加以延伸，除了纳入原先的内生变数资本结构外，再加入另一个内生变数–股票报酬率来建立一个双向影响的结构联立方程式，以期研究资本结构与股票报酬率两者是如何交互影响，并是如何由许多因子所共同决定。

The calculation mechanics model is used for the curtain wall decussate rope net structure, including m horizontal ropes and n vertical ropes. The balance and displacement equations, alse the potential energy and kinetic energy equations, are constituted for the points with distributive loads and tensile force after the rope net distortion. Using the theory of finite analysis method, these groups of the n horizontal ropes' 2m+5 and m vertical ropes' 2n+5 equations are founded and the numerical solution is calculated.

建立幕墙由m根横向索、n根竖向索组成的正交索网结构的计算力学模型，在网点分配荷载及预张力作用下，列出钢索变形后的平衡方程、位移方程和弹性变形位能与外力作功方程，用有限分析方法将竖向索包含n个由2m+5变元组成的非线性方程组，将横向索包含m个由2n+5变元组成的非线性方程组寻求数值解。

This thesis presents the studies of U-shape gantry structure of container gantry crane, and dynamic simulation and fatigue life estimation of its rigid anti-sway. The main contends are as follows: Supposed that trolley frame is composed of spring structure, due to larger trolley gauge of U-shape gantry structure. For the gantry crane, a series spring dynamic vibrating model with three masses, three freedoms of degrees is built in this thesis and vibrating calculus equations are precisely resolved by mode analyses rule.

本文研究集装箱门式起重机U型门架结构及其刚性减摇系统的动态仿真和疲劳寿命估算，主要内容如下：由于U型门架结构小车轨距较大，本文建立了考虑小车架为弹性结构时门式起重机的三质量三自由度串联弹性动力学振动模型，用模态分析法求解振动系统微分方程组的数值精确解。

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％。