查询词典 equation of motion

The particle motion differential equation is analysed detailedly and the three-dimensional direct numerical method of particle motion differential equation is established.

论文对颗粒运动微分方程进行详细的分析讨论，建立了三维颗粒运动微分方程的直接模拟数值方法。

A motion reference coordinate system of this quadruped robot and its simplified-structure of the multi-rigid body dynamics model are established. After kinematic and dynamic analysis, the kinematic equation, inverse kinematic equation and Jacobi matrix of the quadruped robot are presented, and the second kind of Lagrange dynamic equation group for simplified-structure of the quadruped robots multi-rigid body system is educed.

建立了该机器人的运动坐标体系，及其等效简化结构的多刚体动力学模型，对上述模型进行了运动学和动力学分析，给出了该机器人的运动学、逆运动学方程和雅可比矩阵，并导出了其简化结构多刚体系统的第二类Lagrange动力学方程组。

In this paper, a new method used to deal with the motion ability is studied deeply based on Routh-Hurwitz Criterion. The advantage of this kind of analysis method consists in the fact that after establishing the equation in differential calculus for the motion system, there is no need to know a root of the equation, if you know the root signs, you can judge the zero solution stability of the system.

本文利用劳斯－赫尔维茨判据(Routh-Hurwitz Criterion)对机械系统中离心转速调节器的运动德定性进行了分析，这种分析方法的优点就在于：建立系统运动微分方程的特征方程后，不必求解特征方程的根，只需知道根的符号就可判断系统的零解稳定性。

It is shown that two-component Wadati-Konno-Ichikawa equation, i.e. a generalization of the wellknown WKI equation is obtained from the motion of space curves in Euclidean geometry, and it is exactly a system for the graph of the curves when the curve motion is governed by the two-component modified Korteweg-de Vries flow. At the same time, a n-component generalization to the WKI equation is obtained. Also, starting from the motion of curves, mKdV and its symmetry recursion operator is exhibited explicitly; two- and n-component mKdV systems are obtained. It is shown that WKI systems are gauge equivalent to mKdV systems. The two-component WKI equation admits an infinity number of conservation laws and a recursion formula for the conserved densities is given by considering an eigenvalue problem together with introducing an appropriate transformation.

在二维和三维欧氏空间上，我们从空间曲线运动出发，推导出了mKdV方程以及它的用以生成高阶对称的递归算子；推导出了多元mKdV方程以及二元和多元WKI方程，并证明了WKI系统和mKdV系统的规范等价性；尔后，通过考虑特征值问题，并引入一个恰当变换，给出了二元WKI方程的用以计算无穷多守恒密度的递归公式，从而证明了二元WKI方程的守恒可积性；系统地分析了两种mKdV方程的Painleve性质，并分别给出了两种不同形式的二元和n元mKdV方程的共振点出现的规律。

From the established manipulating kinematics equation, the kinematics determinacy of multi-fingered hand manipulation is systemically discussed, and the analytic formulae of joint self-motion and the contact motion caused by the joint self-motion are given.

从得到的运动学方程出发，分析了多指手滚动操作的运动学确定性问题，给出了关节自运动及由其生成的接触点运动的显表达式。

In order to make motion planning fitting practice,many characteristic of CNC trajectory motion were discussed,such as the geometric,the motion and the time,the relation between orbit function and motional parameter was set up,the differential simultaneous equation about the trajectory motion was derived.

为了让运动规划符合实际，分析了数控加工轨迹运动几何特性、运动特性和时间特性，建立了轨道函数与运动参数的联系，推导出轨迹运动微分方程组。

Firstly, we collected and sorted out the GPS data, established the uniform velocity field for the Chinese mainland and the surrounding regions, and the horizontal deformation field relative to the Eurasia plate; Secondly, we established a motion model for the entire rotation and homogeneous strain of the first and second level blocks in Chinese mainland, analyzed the motion pattern and strain behavior of active blocks in Chinese mainland, as well as the motion pattern of principal fault zones in Chinese mainland; Thirdly, considering the heterogeneity of strain distribution inside a block and supposing that the strain tensor inside the block is the linear function of location, we derived and established an equation for the entire rotation and linear strain of block and a motion model for the entire rotation and linear strain of principal blocks in Chinese mainland; We also calculated the principal strain field and the maximum shear strain field in Chinese mainland and the surrounding regions, analyzed the basic characteristics of strain field in Chinese mainland, as well as the relationship between the spatial distribution of strain field and large tectonic zones; Finally, we established the 2-D geotectonic model and digital model for Chinese mainland and the surrounding regions, calculated the stress field in Chinese mainland and the surrounding regions, and analyzed the basic features of stress field in Chinese mainland and the principal driving force for the motion and deformation in Chinese mainland.

收集整理了已有GPS资料，建立了中国大陆及周边地区统一的速度场以及相对欧亚板块的水平形变场；建立了中国大陆一、二级地块整体旋转与均匀应变的运动模型；分析了中国大陆活动地块的运动状态，应变状态，以及中国大陆主要断裂带的运动状态；考虑到一个块体内部应变张量空间分布的非均匀性，假设块体内部的应变张量是位置的线性函数，推导建立了块体整体旋转与线性应变方程，建立了中国大陆主要地块整体旋转与线性应变的运动模型；计算了中国大陆及周边地区的主应变场与最大剪应变场，分析了中国大陆应变场的基本特征，以及应变场的空间分布与大型构造带的关系；建立了中国大陆及周边地区二维的地质构造模型和数值模型，计算了中国大陆及周边地区的应力场，分析了中国大陆应力场的基本特征以及中国大陆运动、形变的主要驱动力。

The main contents and results of research in this paper are shown as following: It is important to built the motion model of a virtual system. As the virtual object is the submarine in this simulation system, we studied on the motion model of the submarine and gave the submarine six DOF space motion equation MultiGen-Paradigm corporation's modeling software named Creator is used, the modeling of all entities and 3D terrain in virtual ocean environment is accomplished. Then introduced the theory of Large Area Database Management and realized the Large area database management; In the course of 3D scene simulation, Vega is utilized to develop the project. The building of 3D scene is done, which includes the simulation of static and dynamic ocean surface, realization of ocean wave, simulation of bow wave and stern wake, utilization of lighting and material, simulation of cloud and fog, kinematics' modeling of submarine etc.

论文的主要研究工作和成果包括以下一些内容：建立虚拟对象的运动模型是构造一个虚拟系统的关键所在，建立的运动模型准确与否直接关系仿真对象模拟的逼真度，由于本仿真系统的虚拟对象是潜艇，所以对潜艇的运动模型进行了研究，给出潜艇空间六自由度运动方程；利用MultiGen-Paradigm公司的Creator建模软件完成虚拟海洋环境中个实体模型建模和三维海底地形模型的建模；然后介绍了大地形数据库管理(LADBM，Large Area Database Management)技术的基本原理，实现大地形数据库管理；在三维场景仿真中，使用Vega驱动软件进行软件开发，完成了三维场景空间的建立，主要包括动态和静态海洋的仿真、海浪、船首波浪和传尾尾迹的实现，灯光和材质的使用，云和雾的模拟等。

The ones, including conservation of mass, conservation of energy, Newtonian equations of motion, conservation of electric charge, linear momentum principle, continuity equation and Maxwell equations for electromagnet etc., are suitable to all substances. They are universal laws in nature.

非线性连续介质力学的基本方程可分为两类：一类适用于所有物体，构成了自然界的普适规律，如质量守恒、能量守恒、电荷守恒，牛顿运动方程，马克斯威尔电磁学方程、熵产率恒正原理等。

In this paper, the modified motion equation of Timoshenko beam is first introduced, which is then compared with that of Timoshenko beam.

介绍了修正后的Timoshenko梁运动方程，并比较了修正Timoshenko梁与经典Timoshenko梁的运动方程。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。