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Based on the analytic model of an eccentric slider crank mechanism with elastic effects at both joints of the coupler and four coupler Mathieu-typed equations of motion in terms of the generalized coordinates of the system,the extract solution is developed from the improved Hill method with accelerated convergence.

在所建立的连杆接头处具有弹性效应的曲柄滑块机构的动态解析模型以及在广义坐标下推导出的4个马修型运动方程的基础上，由具有加速收敛性的改进希尔法进行了精确求解。

It can show the relation of angular speed for each component of automatic transmission. This paper established general mathematical models of multi-DOF transmission analysis on speed ratio and kinematics and dynamics. As generalized coordinates with parameter of independent component. And the developed relevant general programs.

以运动独立构件为广义坐标，建立了包含任意接合元件的多自由度变速器的档位分析，运动分析，力矩分析和动力分析的通用数学模型，并开发了相应的通用计算机程序，通过对典型变速器的实例分析，验证了所建立的通用数学模型的正确性以及所开发的计算机通用程序的有效性。

Moreover, for the treelike system with prescribed motion and the non-treelike system with closed-loop, the generalized coordinates aren't independent completely. Only the dynamical equations of the system and the constrain equations resulting from the prescribed motion and the closed-loop are combined to form DAEs, it can be solved.

另外，对于有指定运动的树系统或带有闭环的非树系统，系统的广义坐标是不完全独立的，系统的动力学方程要与指定运动或系统切断所附加的约束方程一起组成微分--代数方程组才能求解。

The main problem of the mode synthesis method , applied in structural vibration analysis of prefabricated bridges, is how to select relevant number of low frequency modes synthesized during the course that displacements of substructures are expressed in generalized coordinates that are defined by displacement modes.

模态综合法应用于装配式桥梁结构振动分析的主要问题，是在将子结构坐标缩聚为模态广义坐标的过程中，如何选取适当数目的低阶模态来参与综合。

Treating cubic and five—order Hermitian interpolations as the trial functions of generalized coordinates in time domain, both single— and two—step algorithms for dynamic analysis are formulated respectively.

采用三次和五次Hermite插值多项式在时间域上作为广义坐标的试函数，分别建立了位移型单步及两步时间元模型。

The method of analytical mechanics is mainly to establish a degree of freedom for the mechanical system,to choose generalized coordinates,to work out the energy or concerned quantities of the system,to introduce the equation or principle formulain analytical mechanics, and to then find the solution.

分析力学方法主要是确定体系的自由度，选取广义坐标，求出体系能量或有关物理量，代入分析力学中的方程式或原理式，计算求解。

Based on the multi-body dynamic theory,the generalized coordinates that include the jib rotating,the jib elastic deformation and the payload pendulum are used to form the crane multi-body dynamic model.

基于柔性多体动力学理论，选取包含吊臂转动，吊重摆动及吊臂弹性变形的广义坐标，构建了起重机的多体动力学模型。

Since the number of generalized coordinates is large when using the finite element method, MTA is usually used for improving computational efficiency and only lower-order modes are chosen.

因为用有限元离散时，柔性薄板的广义坐标规模较大，故仿真计算需要时间较长，所以模态截断法被用来缩减广义坐标数量，提高计算效率。

Thirdly, according to the equivalent circuit of the dc motor, the dynamical model is set up. Then, the dynamical model for the hybrid-driven press is developed using Lagrange's formulation. The system's equation is derived using expressions for the system energy function, its partial and time derivatives with respect to the defined generalized coordinates.

其次，根据直流电动机的等效电路模型，建立了直流电动机的动力学模型和位置负反馈控制模型；应用拉格朗日方程建立了混合驱动压力机机电系统的动力学模型。

With the view of kinematics equivalence between parallel manipulators and serial manipulators, a supposed serial mechanism which is kinematically equivalent to parallel manipulator and six branches regarded as six branch serial mechanisms are used to generate interation algorithm, which is based on equivalent generalized coordinates.

近年来，并联机器人的研究已成为机器人学研究的热点之一。井联机器人是基于并联闭链机构上开发的。而并联机构是由上下平台及若干分支构成，因此出于末端的高精度以及结构的简洁、紧凑的需要，运动副之间很可能出现因结构设计带来的运动耦合问题。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。