运动方程

Taking generalized coordinates for variables, the differential equations of multiple elastic particles are decomposed into the differential equations in the independent form by introducing generalized coordinates .

通过广义坐标的引入，将多质点弹性体系的运动微分方程分解成以广义坐标为变量的独立微分方程形式。

It was proved that under Lipschitz coefficients, the solutions of SDEs driven by Brownian motion or a continuous semimartingale form a stochastic homeomorphism flow.

在方程系数Lipschitz连续的条件下，由Brown运动或连续半鞅驱动的随机微分方程的解形成一随机同胚流。

It has important significance to consider backward stochastic Volterra type integral equation in infinite dimensional space.By a similar calculation as in the second part,we study this kind of equations driven by cylindrical Brownian motion under non-Lipschitz condition.

3在无穷维空间中研究倒向随机Volterra型方程也是有着重要意义的，论文利用与第二部分相同的思路将前面的结果推广到无穷维中，在非Lipschitz条件下对由柱Brown运动驱动的这种方程建立了解的存在唯一性。

A method to get the repulsive force, which is based on Integral Element Equation, is introduced in this paper and the simulation of the process of the mechanism is completed.

本文采用积分方程法，考虑触头回路、栅片对磁场的综合作用，对磁场及电动斥力进行计算分析，并求解运动学及动力学方程，模拟在电动斥力作用下的机构运动过程。

Based on the theory of robotics, manipulator's kinematics equation is established and inverse kinematics analysis and calculation is made by algebraic solution after simplification, besides, Cartesian-space schemes, working space and singularities are also taken into account.

在机器人学的理论基础上，使用D-H方法建立了机械手的运动学方程；通过问题简化，利用代数解法，进行了逆运动学分析和计算，并对机械手进行了笛卡尔坐标轨迹规划，为后续控制系统的设计及机构运动仿真提供了依据；分析了机械手的工作空间、奇异性；介绍了建立机器人动力学方程的常用方法。

It is able to perform spatial transformational movement, rotation, hoisting, tilting, planar rotation and tilted rotation. Based on configuration analysis, kinematic position equations were formulated, kinematic model of parallel fine-tuning structure was discussed as a key and inverse position analysis and velocity mapping equations were presented. Kinematic simulation of the mechanism was conducted using MATLAB software. A case study was provided, which applied the mechanism in tunnel erector assembling manipulators.

通过对该机构进行分析研究，建立其运动学位姿方程，重点探讨了并联微调机构的运动学模型，建立了其位置逆解与速度映射解析方程，运用MATLAB软件对该机构进行了运动学仿真分析；同时提供了该串并联机构应用于隧道管片拼装机械手的具体实例。

The dynamical equation of the system was established using Lagrangian equation and Newton's second law.

通过系统运动的拉格朗日方程和牛顿第二定律，建立了机械式离心调速器系统的动力学方程。

In the low-low satellite to satellite gravity mission, the intersatellite range and range-rate data are the observable values, while the intersatellite acceleration can be derived from the range-rate through digital differential. Using acceleration data, people can avoid solving the variation equations of the satellite motion and simplify the observation equations. But on the other side, the digital differential will amplify the observation noises and finally affect the solved geopotential accuracy.

低低卫星跟踪卫星的观测量是两低轨卫星的星间距离或星间速度，星间加速度由星间速度通过数值微分导出，用星间加速度作为观测量可以避免解算卫星运动的变分方程，简化观测方程的建立，但数值微分会使观测噪声放大，从而影响重力位的解算精度。

A typical Mathieu equation subject to harmonic excitation is acquired by means of the theory of linear vibration. By using integral transformation, the series solutions to the Mathieu equation are obtained.

根据线性振动理论对系统运动微分方程组进行分析，得到了一个受简谐激励的Mathieu方程，通过积分变换，得到了Mathieu方程的级数形式解。

In order to solve the linear strong parametrical excitation equation, the method for solving strong parametrical excitation Mathieu equation is brought out. With the introduction of a new conversion, the strong parametrical excitation problem is converted to weak parametrical excitation problem. The second order approximate periodic solutions are obtained and the transition curves are gained by using a modified strained parametrical method.

为适应求解垂荡与纵摇耦合运动的线性强参数激励方程，提出了强参数激励Mathieu方程的求解方法，通过引入新的变换，将强参数激励问题转化为弱参数激励问题，应用改进的变形参数法求其二阶近似周期解和过渡曲线。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。