欧拉动力学方程

本文利用MAC差分格式，对欧拉动力学方程进行离散求解，利用VOF法处理自由表面的演变。

In this paper , MAC difference scheme is used for discretization of dynamics equations and VOF method is adopted for treatment of free surface .

然后基于静力学的结论基础上，利用达朗贝尔原理建立牛顿-欧拉动力学方程，再运用三维工程分析软件ADAMS对机器人进行动力学仿真，以此来验证动力学方程的正确性和可行性。

Then , based on the statics and D ' Alembert Theory , it established dynamic equation and performed dynamic emulation by means of " ADAMS " to confirm the correctness and feasibility of the dynamic equation .

质心坐标系的牛顿-欧拉动力学方程

Newton-Euler dynamics equations for coordinate frame at center of mass

用复合四元数求解欧拉动力学方程

Solution to Euler s Dynamical Equations Using Composite Quaternions

利用空间坐标变换理论和牛顿一欧拉动力学方程，建立吊舱的动力学方程和机电控制模型。

Using the theory of spatial coordinate transformation principle and Newton-Euler equations set up dynamic equations of pod and electrical-mechanical control model .

由对该方程的讨论，可得到刚体定点运动的欧拉动力学方程，自由刚体运动微分方程以及刚体的平衡方程等。

Through the discussion of the eguation , we can obtain Euler eguations of motion of rigid body about a fixed point , differential eguations of motion of free rigid body , and eguilibrium eguations of rigid body .

利用刚体转动的欧拉动力学方程和牛顿力学定律，经过严格的力学分析和严密的数学演算，推导了梳驱动音叉式微速率陀螺仪工作时，该陀螺仪满足的微分方程模型。

By using Newton 's mechanics laws and the Euler 's dynamics equation of rigid body rotation respectively , strict mechanical analysis and accurate mathematical computations , we have deduced the accurate differential equation of the micromechanical comb drive tuning fork rate gyroscopes .

欧拉气体动力学方程

Euler gas dynamical equations

二维欧拉流体动力学方程的完全守恒差分格式

Two kinds of completely conservative difference schemes for unsteady Euler equations of fluid dynamics for two-dimen sional problems

结合虚功原理和达朗贝尔原理，构建虚功形式的牛顿-欧拉方程动力学方程。

Combined with the virtual work principle and d ' Alembert principle , a Newton - Euler dynamics model can be established .

欧拉坐标的气动力学方程组的整体光滑解

A Globally Smooth Solution of Aerodynamic Equation Set in Eulerian Coordinate

运用牛顿-欧拉方法，分别建立了并联结构各个分离体的牛顿-欧拉动力学方程；

Using Newton-Euler approach , Newton-Euler dynamic equations for each isolated body of the parallel structure are established .