偏常

The governing equation of in-plane vibration of cable-restraint system is derived by means of D'Alembert principle, and then those partial differential equations are transformed into a set of ordinary differential equations by Garlerkin method. The method of Runge-Kutta integration is applied to solve the equation. The simulation analysis is made to prove that this vibration control has obvious damping effects and then the influence of cable tension, support mass, natural frequency and spring stiffness on the damping are discussed. Eventually, the approximate analytic solution of the optimum damping parameter is obtained to provide a simple and effective reference and design method for the engineers.

通过D'Alembert原理建立拉索－弹性约束系统振动方程，通过Galerkin方法将偏微分方程转化为常微分方程，应用龙格－库塔积分法求解方程；经过仿真分析，验证了该振动控制具有明显的减振效果，并且讨论了初始拉力、支座质量、振动频率及弹簧刚度对减振效果的影响；最后给出了计算最优阻尼参数的近似解析式，为工程师提供了简便有效的参考依据及设计方法。

The governing equations of laminate-faced sandwich cylindrical shallow shells based on the first-order shear theory with large deflection are high-order partial differential equations. Four dependent functions are involved.

大挠度剪切理论下复合材料夹层圆柱扁壳的稳定性控制方程是一组非线性高阶常系数偏微分方程，其中包含四个独立的函数，它们分别为横向挠度w、参考曲面的法线转角Φx、Φy和应力函数F。

This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier transforms and partial differential equations will also be introduced.

本课程为提供已有常微分方程式基础的同学修习，内容包括线性代数，矩阵运算，特徵值问题，向量的微分与积分，一阶线性微分方程组，傅力叶级数和正交函数，傅力叶转换，并将对椭圆，抛物线，双曲线型式的偏微分方程式作概略介绍。

This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier

本课程为提供已有常微分方程式基础的同学修习、内容包括线性代数、矩阵运算、特徵值问题、向量的微分与积分、一阶线性微分方程组、傅力叶级数和正交函数、傅力叶转换、并将对椭圆、抛物线、双曲线型式的偏微分方程式作概略介绍。

Among the above symptoms and signs, some of them like cyanosis of lips, purplish tongue, varicose sublingual vein, headache, blackish eyelids, tongue with ecchymosis, blackish complexion, squamous and dry skin, pain on the paralytic limbs, dermorrhagia are the conventional ones, the others like flaccidity of lower extremities, hemianesthesia, dispiritedness, dysphasia, distension of stomach and abdomen are found by us.

当然，其中主要是一些传统的血瘀证症状、体征，如唇色紫暗、舌质紫暗、舌脉曲张、睑下青黑、舌有瘀斑、面色晦暗、肌肤甲错、瘫肢疼痛不移、肌肤青紫/有瘀斑，但也有一些症状和体征是以往并不常作为判断血瘀证的，如下肢肌力减弱、偏身麻木、精神萎靡、言謇失语、脘腹胀满，为脑梗塞血瘀证的诊断增加了新的依据。

For the long composite cylindrical panels, including the influences of the transverse shear deformation, rotatory inertia and initial geometric imperfections, the nonlinear dynamic equations of the long composite cylindrical panels were derived from Hamilton's philosophy. The nonlinear partial differential equations were transformed to ordinary differential equations by expansion in series and solved numerically by fourthorder Runge-Kutta method.

针对含初始几何缺陷的复合材料圆柱曲板，考虑横向剪切变形、转动惯量、初始几何缺陷以及非扁壳等诸多因素，利用Hamilton原理导出复合材料长圆柱曲板的非线性动力方程；用级数展开把非线性偏微分方程组转化为二阶常微分方程组，并由四阶Runge-Kutta方法数值求解。

Slender body is a widely used forebody configuration for modern advanced fighters and tactic missiles.

现代先进战斗机和战木导弹常具有细长前体，大攻角条件下前体背风面会形成非对称涡结构，从而产生很大的侧向力和偏航力矩，这会严重影。。。

In Chapter 6,by changing Gauss elimination method of solving linear algebraicequations in software package based on MPROWs and PEROWs into the elimination byband matrix and the elimination by varied bandwidth,we obtained the solver of ordinarydifferential equations,which is suited to solve the partial differential equations by themethod of lines.

在第六章，我们将基于MPROWs及PEROWs的软件包中求解线性方程组的通常的高斯消去法修改为带状矩阵消元法及变带宽消元法，从而获得适合于用线方法求解偏微分方程的常微分方程求解器。

On the basis of classical lamination theory and large deflection hypotheses of plate, the equilibrium and compatibility equations of simply supported composite laminated plates were obtained. The nonlinear partial differential equations are transformed into the ordinary differential equations of Kronecker tensor product by series expansion and solved numerically by the fourth-order Runge-Kutta method.

基於经典的层合板理论及板的大挠度基本假设，得到四边简支层合板的非线性运动方程及变形协调方程；用级数展开把非线性偏微分方程组化为易於求解的Kronecker张量积形式的二阶常微分方程组，并由四阶Runge-Kutta法数值求解。

Then, based on Malthus population prediction model, some new population models are brought in considering more kinds of factors....

再在马尔萨斯人口模型的基础上，引入了考虑众多因素的人口模型，分别基于常微分方程和偏微分方程进行了研究。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。