广义坐标

The generalized force consists of the generalized conservative force, the generalized dissipation force and the generalized force in correspondence with the generalized coordinate except the generalized conservative force and the generalized dissipation force.

基于非自治有阻尼系统推导了第二类Lagrange方程，使用虚功原理，给出了广义力的求解方法，广义力由广义保守力、广义耗散力、除广义保守力和广义耗散力以外的对应于广义坐标的广义力这3部分组成。

When the vehicle vibrates, the ratio coefficients of the characteristics of components in fixed position and the corresponding characteristics of suspension are a function of generalized coordinates.

车辆振动过程中，实际安装位置的元件特性与悬挂特性的比例系数是广义坐标的函数。为了使数学模型尽量接近实际情况，本文导出了此比例系数与广义坐标的关系。

A relativistic transformation of generalized coordinates is discussed and it is found that the first law of thermodynamics and the equation of state of an ideal gas are invariant with respect to the relativistic transformation of generalized coordinates , so that the existence of relativistic transformation of generalized coordinates is reasonable.

讨论了一个涉及热力学的广义坐标的相对论变换，发现热力学第一定律和理想气体状态方程对广义坐标的相对论变换具有不变性，表明广义坐标的相对论变换有其存在的理由

Since the number of generalized coordinates is large when using the finite elemen

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。

In the relative coordinate method, the array of the generalized coordinates of the system is formed by the relative coordinates of all rigid bodies. The principle of virtual power and Newton-Euler equations are applied to the system, and arrive at a set of second order differential equations of the generalized coordinates.

在相对坐标法中，系统的广义坐标列阵由系统中各刚体的相对坐标组成，对系统应用牛顿-欧拉方程和虚功率原理，得到系统广义坐标的二阶微分方程组。

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。

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。

It is proved that arc coordinates of a directed curve cannot be used as ordinary coordinates or generalized coordinate s for the motion of an Appell-Hamel particle without a fixed orbit, but they can be used as quasi coordinates.

证明了弧长坐标 s在轨道未知的 Appell- Ham el质点运动中不能作为普通坐标或广义坐标，但可以作为准坐标，指出文献 [1]中引入弧长 s坐标的做法及"Appell- Ham el质点运动的轨迹是一般螺线"的结论是正确的，但其Appell- Ham el约束是完整约束及在该质点运动中 s坐标是广义坐标的观点是错误的。

Generalized way ; graph analysis ; prime number distribution ; Kronecher function ; Hanavan model ; generalized coordinate ; generalized inertia force ; technical movement.

国家自然科学基金；高等学校博士学科点专项科研基金广义路径；线图分析；素数分布；卷和函数； Kronecher函数； Hanavan模型；广义坐标；广义惯性力；动作技术

Kinematics and dynamics modeling and analyzing method of a 3-RRRT parallel robot was studied. Kinematic model of the 3-RRRT parallel robot was set up with both the branch bar's relative coordinates and movable platform's absolute coordinates used as it's generalized coordinates. On the base of Kane's equation, dynamics model of the 3-RRRT parallel robot was built. Dynamic Numerical simulation of the 3-RRRT parallel robot was finished by using Matlab software, and so it provides valuable reference for motion control strategy of the 3-RRRT parallel robot.

研究一种3-RRRT新型高速搬运机器人运动学与动力学建模及分析方法，以支链构件相对运动坐标和动平台绝对运动坐标作为广义坐标，建立了3-RRRT型并联机器人的运动学模型，结合带乘子的凯恩方程建立了3-RRRT型并联机器人的动力学模型，并利用Matlab软件平台进行了动力学数值仿真，进而为3-RRRT型并联机器人的控制策略研究提供参考。

I'm gonna go pack my regular, long bathing suit.

我要去打包我那不起眼的超长泳裤

Random number generators are used in many areas, with the improvement of the computational ability of the computer.

随着计算机计算能力的不断提高，随机数发生器在许多领域有了更加广泛的应用。