查询词典 generalized coordinates

Chapter two proposes the unified form of Hojman"s conservation law and Lutzky"s conservation law. Firstly, the author introduces the general Lie group of transformations that the variations of both the time and the generalized coordinates are considered, derives the determining equation of Lie symmetry for the system, presents a new conservation law, which contains the Hojman"s and the Lutzky"s conservation law as two special cases, and obtains a condition to exclude trivial Hojmans conserved quantities.

第二章，Hojman定理和Lutzky定理的统一形式：首先，引入一般意义下的Lie变换群(即位型变量q_s和时间变量t同时变换)，给出系统的Lie对称性确定方程，提出一个新的守恒律，Hojman定理与Lutzky定理则分别是这个新守恒律在两个特殊情况下的推论，导出一个可排除平凡Hojman守恒量的定理，并分别讨论了Birkhoff系统和非完整系统的Lie对称性和Hojman守恒量，最后，讨论了Hamilton系统的梅对称性与Lie对称性的关系，给出了由梅对称性求Hojman守恒量的方法。

This model shows the mapping relation between generalized forces and generalized coordinates.

基于以上的观点，得到了适用于少自由度并联机构的静刚度模型，该模型体现了广义力和广义坐标之间的映射。

Based on the improved local piston theory , this paper presents the matrix expression of generalized aerodynamic forces expressed by the generalized coordinates.

基于改进的当地流活塞理论，推导了用模态坐标表示的弹性振动翼面的非定常广义气动力表达式。

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

A special coordinates to describe the motion features of the linkages based on the generalized coordinates are proposed in this paper. And a structural method on the type synthesis of PKMs is introduced with the analysis on the linkages and the special coordinates.

针对并联机床的构型问题，研究了具有确定末端运动的并联机构支链，在此基础上进行了并联机构的构型研究，并进行了五自由度五轴并联机床的构型； 2。

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。

Based on homogeneous approximation, a robust control law is designed, which drives generalized coordinates of the closed loop system to the origin exponentially and generalized velocities to the origin asymptotically.

基于齐次展开的思想，给出了一种鲁棒控制器设计方法，使得闭环系统的广义位置坐标指数镇定，广义速度渐近镇定。

Besides all six degrees of freedom of ship rigid body, other inportant generalized freedom such as aircushion pressure, freedom of seals and generalized coordinates of structural vibration are also included in the model in accordance with the nature of hybrid catamaran.

分析模型中除了船舶刚体运动的六个自由度外，还包括了其它重要的广义自由度-气垫压力、围裙运动的自由度以及结构各阶振形所对应的主坐标。

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。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。