广义坐标

In virtue of this,some properties of convex polyhedroid are studied and the definite values and extreme values of convex polygon in Euclidean plane are extended to the case in n-dimensional space.

提出n维欧氏空间中广义重心坐标的概念，建立了广义重心坐标下两点间的距离公式，并利用于研究凸多胞形的若干性质，将欧氏平面上凸多边形的一些定值与极值性质推广到n维空间。

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。

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。

The semi-analytic formula was taken as an interpolation function near crack tip notch and the degree of freedom near the notch tip were transformed into a set of generalized coordinates by means of series expansion formulas of displacement field.

该方法将半解析函数作为插值函数，将缺口尖端附近的自由度通过位移场的扩展公式转化为一组广义坐标。

For reducing boundary distortion area, the elevations of grid DEM are viewed as a discrete sequence under a generalized coordinate, so that the boundary problem of two-dimensional discrete wavelet transform is turned into the boundary problem of one-dimensional discrete wavelet transform, which not only greatly reduces the boundary distortion area, improves the precision of reconstructed DEM data near the boundary, but also decreases the number of zeros adding on the boundary for wavelet transform, and boosts the compression ratio. On the basis of analyzing the distribution characteristics of coefficients in low and high frequency bands, a mixed entropy coding plan is applied, and a high efficient quantizator called"self-adaptive hard threshold"is established, which is helpful for improving the precision of the reconstructed DEM data and for enhancing compression ratio.

为了减小小波变换山区格网DEM数据压缩中边界失真区域，将山区格网DEM高程值视为广义坐标下的离散随机序列，把二维离散小波变换中的边界问题转换为一维离散小波变换中的边界问题，不仅大大减少了小波变换边界失真区域，提高了重构DEM数据边界点的精度，而且减少了边界补零个数，提高了压缩比；通过对山区格网DEM数据小波变换低频区和高频区变换系数分布特点的分析，采取了霍夫曼—游程混合熵编码方案，设计了高效、低失真的"自适应硬阈值"量化器，即对低频区变换系数不进行量化，直接进行霍夫曼编码；对高频区变换系数则先用"自适应硬阈值"方法量化处理，再进行游程编码。

By the research of metric tensor and Riemann tensor on Riemann manifold, we getthe inherent curvature of configuration space belonging to parallel mechanism.

通过对度量张量和Riemann张量的研究，得出并联机构运动可达子空间的内在"弯曲"性质，指出使用相对坐标系和广义坐标是研究并联机构运动学和动力学问题的必然选择。

This paper introduces a new way of describing the mufti－body system,and set up a new dynamics method of multibody system,which takes the centroid acceleration and angle acceleration of rigid bodies as the variables to be solved.

本文从一个新的角度描述多体系统，建立了一种以刚体质心加速度和刚体角加速度为待解变量、以铰间广义坐标为积分变量的多体系统动力学方法。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。