查询词典 generalized coordinates

The curved grid is taken to constitute a generalized curvilinear system. Thus, the wave equations have to be written in curvilinear coordinates before applying the numerical scheme.

这一映射技术将直角坐标系下的曲界面变换成曲坐标系下的规则界面，在曲坐标系下用伪谱法模拟波场，最后利用插值得到实际波场的合成记录。

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。

Meanwhile, by means of generalized transform method, its two-phase equivalent circuit, impedance transformation and nodal admittance matrix in phase coordinates are given in order to analyze and calculate the problems related to the terminals connecting power grid with traction power network.

同时借助端口电气量的一般变换方法，给出了YNvd接线变压器两相等值电路、阻抗变换以及相坐标下的节点导纳矩阵，以便分析和计算与电力系统和牵引网端口有关的问题。

For linear systems,the goal could be reached by controlling a set of generalized coordinates of the system.

分析分析了对多自由度系统采用多个单输入单输出的控制方法的条件，即控制线性系统的一组广义坐标来达到控制整个系统的目的。

Nonholonomic constraint is the constraint that contains time derivatives of the generalized coordinates of the system and is not integrable.

非完整约束是指含有系统广义坐标导数且不可积的约束。

It is often seen that only lower order modes of the beam without large overallmotions are chosen to reduce the number of the generalized coordinates,the simulation,however,is able to reach certain accuracy.

本章对不同转速和中心刚体半径下模态截断法和有限元法的仿真结果进行比较，根据两种方法的振动基频的相对误差确定了模态截断的阶数与转速、中心刚体半径的关系，提出了模态截断的准则，解决了模态截断法的精度问题。

Choosing displacement of each layer regard as generalized coordinates of the system, Lagrang＇ s equations of the system are established.

结果表明：系统具有一个共振频率，容器的底部以这个频率竖向振动时，各粉末层的加速度达到各自的最大值；当容器的底部以共振频率竖向振动时，各粉末层的加速度是不相同的，当拱所在的那一粉末层有最大的振动加速度时，拱最可能被破碎。

Three translational and rotational generalized coordinates of ship were introduced based on the aeroelastic model of helicopter.

在旋翼气弹计算模型基础上引入舰船3个平动和3个转动广义坐标，根据Hamilton原理建立了基于广义力形式的计入舰船运动的旋翼瞬态气弹响应计算模型。

The method is obtaining the ground state of the Hamiltonian which is constructed by general quadratic form of generalized coordinates and momenta.

方法是求得一维和二维以及n维由广义坐标和广义动量的一般二次型构成得哈密顿量的基态，由此可以求得各能级的本征态。

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。

Smoking cigarettes adds to the Computer Desk Computer manufacturer computer mouse Computer Computerized collar knitter machine Conduit Bodies construction board Container Bag Control Arm Cooking Thermometer general levels of air pollution as well as damaging our health.

吸烟不仅对健康有害，而且增加空气污染程度。香烟雾含有多种有害物质：不仅有致癌化学物质、有某种能阻止氧气进入血液的气体，还有引起血压增高、心速加快的被称为尼古丁的物质。

He is one of my favorite actors.

他是我最喜欢的男演员之一。