查询词典 equation of motion

Based on the equilibrium equation of an arch element the cubic nonlinear dynamic model with second order is established and the nonlinear differential dynamic system without constant term is obtained through a transfer process of T=U+b. Hence three fixed points and the homoclinic orbits are found. The critical condition of the chaotic vibration of the elastic arch is given by using the method of Melnikov function. The numerical results of the stationary and chaotic motion are given and discussed.

首先利用拱的单元平衡方程建立了拱的二阶三次非线性动力学模型；然后通过变换使方程转化为不含常数项的非线性微分动力系统，并由此得到无扰动系统的3个不动点与同宿轨道；再用Melnikov函数法给出了发生混沌的临界条件；最后给出了该系统出现定常运动和混沌运动的数值结果。

We treat the superconductivity electron as Brownian motion particle in period potential, by using matrix continued fraction method. We solve the corresponding Fokker-Planck equation of electron and obtain the Voltage-Current Characteristics of Josephson Junctions with thermal fluctuations.

我们将超导电子视作在其位相形成的周期势场中作布朗运动，并利用矩阵连分法求解相应的Fokker--Planck方程，得到Josephson结在热涨落存在时的Ⅰ-Ⅴ特性曲线，计算结果与实验相符合。

The ones, including conservation of mass, conservation of energy, Newtonian equations of motion, conservation of electric charge, linear momentum principle, continuity equation and Maxwell equations for electromagnet etc., are suitable to all substances. They are universal laws in nature.

连续介质力学的基本方程可分为两类：一类适用于所有物体，构成了自然界的普适规律，如质量守恒、能量守恒、电荷守恒，牛顿运动方程，马克斯威尔电磁学方程、熵产率恒正原理等。

The forward kinematics is analyzed by choosing one of the mechanisms which have one, two,three or zero angle constraint.Wherein,3-CCC is a new parallel mechanism which has three angle constraints and three distance constraints, Calay\'s formular and direction cosine matrix are used to describe the rotation matrix respectively.By setting Dixon\'s and Sylvester\'s resultant with the three angle constraint equations respectively and using parameters replacement to deal with the distance constraint equations,the 64 order input-output equation of the forward kinematics is obtained under both of the methods.Numerical example confirms these theretical results and the motion simulation is shown in VC++ by integrating OpenGL.

3对高小山提出的广义并联机构进行了研究，以其中具有角度约束的并联机构进行了分析，选取具有一个、两个、三个和零个角度约束类型中各一个机构进行了运动学正解求解，其中3-CCC是一种全部由圆柱副构成的具有三个线线角度和三个距离约束的新型并联机构，文中分别用Calay公式和方向余弦两种旋转矩阵建模方法对其位置正解进行了分析，通过对三个角度约束方程分别构造Dixon结式和Sylvester结式，以及对三个距离约束方程进行变量代换分别导出了位置正解输入输(来源：4040ABC论文网www.abclunwen.com)出方程，得出64组位置正解，并使用数值算例验证了其全部根。

Let's take the equation of the Second law of motion.

就拿方程第二定律的动议。

According to the requirements of precession, the motion equation of the spatial mechanism is developed.

在此基础上，根据进动要求建立了这一空间机构的进动运动方程，通过仿真研究了气囊进动过程中运动参数的变化规律。

This equation refltects that the law of motion of statistical thermodynamics is stochasitc, but not deterministic.

这个方程反映了统计热力学的运动规律是随机性的而非确定性的。

The governing equation of the motion of a geared rotor-bearing system is developed according to linear dynamic theory.

根据线性动力学理论，建立了齿轮耦合的转子－轴承系统的运动方程。

The method is used to solve the motion equation of single pendulum .

将单摆运动方程，通过适当的变化成为上述方程的形式，从而可用此迭代法求

The motion equation of the whole system is generated in symbolic form and output in Ccode.

提出带有机械电子元件的车辆底盘的优化设计方法和工具。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。