查询词典 difference differential equation

Basing on the positional characteristics of double cusp s produced in the track of link points of planar four-bar linkage and combining with the synthetic equation of conventional track generator,the constraint equation set for the position of track generator that could realize two cusp s;and by means of successive elimination to obtain the most simplified forms of constraint equation set.

基于平面四杆机构连杆点轨迹产生双尖点的位置特性，结合常规轨迹发生器综合方程，建立了能实现双尖点的轨迹发生器的位置约束方程组，并经过逐次消元，得到了约束方程组的最简形式。

In chapter 3,we study the Zakharov-Kuznetsov-Modified Equal-Width equation by employing the extended Jacobi elliptic function expansion method and obtain some new solutions of Jacobi elliptic function type of the ZK-MEW equation.;Secondly,using sn-cn method,we study K(m,n,1) equation and obtained some new exact solutions when k=s=3,especially obtained abundand solitary solutions and trigonometric function solutions when m→0 and m→1;In chapter 4,Painleve singular analysis was applied to nonlinear PDE with variable coefficients.

第四章将Painleve奇性分析方法应用到带阻尼项的变系数Burgers方程中，并得到了该类Burgers方程具有Painleve性质的条件，给出了该类Burgers方程的Backlund变换，用所得Backlund变换得到了若干精确孤立波解，包括奇异孤立波解，这些解不等同于行波型孤立波解；用齐次平衡法得到了对数型DBM方程的Backlund变换，并获得了DBM方程的各种孤立波解，包括尖峰孤立波解和奇异尖峰孤立波解。

The temporal and spatial distributions of the plasma temperature during the dissipation process of lightning are calculated theoretically by applying the equation of motion,the equation of continuity and the equation of energy conservation of hydrostatics.

利用流体运动方程、连续性方程和能量守恒方程，对自然闪电回击后的消散过程建立数学模型，计算了等离子体温度随时间和空间的变化规律。

The nonlinear equation of heat conduction is transformed into a Laplace′s equation by applying the Kirchhoff transformation ,and an analytic approximate solution of the equation is derived.

当介质的导热系数是温度的函数时，热传导方程是非线性偏微分方程，作者采用基尔霍夫变换把它变成拉普拉斯方程，于是可以找到原问题的近似解析解。

In this paper, a simple method of solving the stress-fluid coupling equation at certain boundary conditions is proposed based on the corresponding relation of the seepage equation of stress-fluid coupling and heat conduction equation and using the structural mechanical module and heat conduction module in the ANSYS software.

本文根据流固耦合方程和热传导方程的对应关系，找出了在一定边界条件下，可用ANSYS中的结构力学模块和热传导模块求解流固耦合方程的简便方法。

A motion reference coordinate system of this quadruped robot and its simplified-structure of the multi-rigid body dynamics model are established. After kinematic and dynamic analysis, the kinematic equation, inverse kinematic equation and Jacobi matrix of the quadruped robot are presented, and the second kind of Lagrange dynamic equation group for simplified-structure of the quadruped robots multi-rigid body system is educed.

建立了该机器人的运动坐标体系，及其等效简化结构的多刚体动力学模型，对上述模型进行了运动学和动力学分析，给出了该机器人的运动学、逆运动学方程和雅可比矩阵，并导出了其简化结构多刚体系统的第二类Lagrange动力学方程组。

Waxman-Smits equation is an evolution of Acrhie equation for shaly sands, and it is a nonlinear equation.

Waxman-Smits方程是阿尔奇方程在泥质砂岩地层中的推广，W-S方程为非线性方程。

More than 80％ of the root system was at this layer. The vertical distribution of root weight and root volume could be expressed by exponential equation, power equation or polynomial equation.

各品种水稻根系重量均随土层深度增加而下降，但主要分布在土壤耕作层（0-20cm），而表层（0-10cm）就占80％以上。

In the last chap-ter,the natural integral equation and natural boundary element method forharmonic problem on exterior elliptic domain are introduced.Then,based onthis,the natural boundary reduction method for a kind of exterior problem ofanisotropic constant coefficients elliptic equation is discussed, the natural inte-gral equation and its solving method on circular boundary and elliptic bound-ary are obtained.These results can be directly applied in coupled methodand DDM for exterior boundary value problem.

最后，讨论了椭圆外区域调和问题的自然积分算子即D-N算子及自然边界元方法，并基于此研究了一类各向异性常系数椭圆型方程外问题的自然边界归化方法，首次得到其在圆周边界及椭圆边界上的自然积分方程及其求解方法，并将这些结果直接应用于外边值问题的耦合算法。

Firstly, the author establish the functions of stability on the basis of the spline function method ,according to the theory of geometrical nonlinear and the theory of stability, educe the stability equation of structure based on variational principle, then carry through the flexuosity analysis of CFST arch.The big distortion geometrical nonlinear was considered by the stability equation,the author simplified the problem of geometrical nonlinear through ignored quadratic term and reserve the simple term, at last boiled down to solve the linear stability equation of eigenvalue .

利用样条函数方法、根据几何非线性变形理论和结构稳定性理论，先建立起结构稳定的泛函，再由变分原理导出结构的稳定方程，进行钢管混凝土拱屈曲分析；本文所建立的稳定方程考虑了几何非线性的大变形效应，通过忽略几何非线性的二次项，保留一次项，将几何非线性问题简化，最后归结为求解线性稳定问题的特征值稳定方程，建立了结构非线性静力稳定性问题的新算法及失稳类型判别准则。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。