因此，很多非线性演化方程都与曲线和曲面运动有着密切的关系。
So many nonlinear evolution equations have been shown to be closely related to motions of curves and surfaces.
在水斗三维贴体坐标系中，还推导了流体粒子在水斗曲面上的运动控制方程。
The governing equation of motion for fluid particles moving on bucket was deduced on BFC at the same time.
曲线和曲面运动有着广泛的应用。
The motions of curves and surfaces have a wide range of applications.
特别地，许多可积方程都自然地产生于曲线和曲面运动。
In particular, many integrable equations arise naturally from motions of curves and surfaces.
本文在分析低码率压缩码流运动矢量场以及误差曲面性质的基础上，提出一种基于时空预测的快速运动估值方法。
In this paper, based on the analysis of the characteristics of error surface and motion vector field, we propose a fast search strategy for motion estimation is proposed.
根据被加工的曲面特征，通过计算机模拟其加工过程，来寻求最优的刀轴运动轨迹和刀具几何特征参数。
The paper features an attempt to find the optimal axle moving locus of cutting tools and geometric parameter, based on the surface features and by means of a computer simulate machining process.
建立了弹性共轭曲面运动的基本方程，研究了弹性共轭曲面问题的一般求解方法。
The fundamental equation of motion for ECS is set up. The general method to solve the question of ECS is studied.
而长期以来，一直困惑自由曲面精加工取得实质性突破的关键问题之一，就是加工工具的运动位姿控制问题。
But for a long time, one of the key questions which puzzled free surface precision machining obtaining substantive breakthrough, is machining tool's movement pose control problems and so on.
基于运动解耦的三维动力平台，可用于加工设备上进行复杂曲面的加工。
The 3-d dynamical bench based on the motion decoupling can be used on processing equipment to machine complex surface.
但是，当我们从物理的角度审视这一问题时，就会发现可以把这个曲面嵌入一个三维空间中，粒子的运动可以在笛卡儿坐标下分解为三个互相正交的方向。
However, when examining the same problem in the physical point of view, the motion of the particle can also be described in the three-dimensional coordinates.
本文系统研究了曲面点接触高副的接触运动学，以及在机器人手点接触抓取操作中的应用。
The kinematics of higher pairs with point contact surfaces and the application on manipulation of multifingered robot hand are researched in this paper.
数控铣削加工曲面过程中，刀具的运动轨迹是影响加工质量的一个重要因素。
In the process of CNC milling, movement locus of cutting tool is important influence factor on cutting quality.
机械制造问题一般是在给定加工曲面的条件下，求加工此曲面的工具形态和工具相对工件的运动。
The problem of the mechanical manufacture is usually to solve the tool shape of the camber and the motion of the tool to the workpiece under the working camber is given.
在圆柱螺旋曲面的盘形铣刀成形铣削加工工艺中，工件上的螺旋曲面实质上就是盘形铣刀切削刃回转面螺旋进给运动所形成的包络。
In the forming technique of cylindrical spiral curved surfaces, the contour of workpiece is virtually the result that disk shaped milling tools feed into the workpiece and move around its axis.
其天花体系要满足以屋面网架下弦球为固定点和适应双曲面的空间变化、网架雪荷载作用下沉、热胀冷缩等变形运动。
The ceiling system should satisfy these requirements that using lower chord ball as fixed point, adapting space change of hyperboloid steel grid, grid settlement under snow load.
并联机床；CAD变量几何；欧拉角；运动学；静力学；自由曲面；位置正解。
Parallel Machine Tool; CAD Variation Geometry; Euler Angle; Kinematics; Statics; Free-form Surface; Forward position.
对五坐标曲面加工中由离散线性运动逼近理想刀具轨迹所引起的理论加工误差进行了较严格的分析。
The theoretical error in five axis NC machining, which is resulted from approximating the perfect continuous tool path with discrete linear segments, is strictly analyzed.
通过对仿真结果的分析，总结出典型运动形式下复杂直纹曲面电火花线切割加工系统加工空间直纹曲面的一般规律。
After the simulating results are analyzed, some general rules of machining complex ruled surface by means of WEDM system under typical motion types are figured out.
对汽车覆盖件模具数控加工的质量分析表明，曲面造型和刀具运动轨迹的生成，是数控编程加工中的两大关键性技术。
From the quality analysis of NC machining of pressing dies of the motor vehicle covering parts, it shows that styling of the curved surface and cutter paths creating are two critical techniques.
该冗余驱动并联机床运动平稳，可实现复杂曲面的加工。
The PMT with redundant actuation achieved smooth moving and the curved surface machining.
基于此，本文选取6 -DOF并联机器人作为研究对象，对其在曲面加工中的运动位姿控制等相关问题展开了研究。
As such, this article selects the 6-dof parallel robot as the research object to launch the research to its movement pose control and so on.
给出了定长母线沿两条异面垂直的导线运动而构成的一类新型工程曲面。
This paper provides a new type of engineering curved surface that is from fixed bus moving along two vertical straight lead in different surface.
为了避免在复杂曲面的数控雕刻过程中出现图案的扭曲变形，本文提出了新的生成曲面数控雕刻刀具运动轨迹的方法。
To avoid the pattern being distorted in the process of numerical control sculpting on a complex surface, a new method is put forward to generate the tool-path of engraving on the surface.
基于自由曲面方程，由矩阵运算得出刃线运动包络面，对球头铣刀加工的表面形貌进行了建模和仿真。
Based on the models and the free-form surface formula, the moving envelope surface of ball-end mill is obtained by means of matrix calculating, the topography is modeled and simulated.
算法结合误差曲面特性以及运动矢量中心偏移特性，得到最佳参考运动矢量；利用运动矢量的方向和强度信息，确定搜索方向，切换搜索模式，搜索的同时应用全零块的中止准则。
It gets the best reference motion vectors from the error - surface and the center deviation characteristics, and it USES the direction and intensity information to choose the proper searching mode.
讨论汽车覆盖件模具典型曲面数控刀具运动轨迹的生成方法。
This paper discusses the generating technique of tool path on NC machines in machining typical curved surfaces of punch and die for automobile skin panels.
用弹性曲面的拉格朗日动力学推导出了准d - NURBS摆转曲面的运动方程。
The equations of motion for the simplified dynamic NURBS swung surfaces model are derived using the Lagrangian mechanics.
用弹性曲面的拉格朗日动力学推导出了准d - NURBS摆转曲面的运动方程。
The equations of motion for the simplified dynamic NURBS swung surfaces model are derived using the Lagrangian mechanics.
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