首先将加工曲面分片，选取合适的初始点。
The machining surface is divided into some chip and a right initial point is selected at first.
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.
只要已知被加工曲面的参数表达式，就可运用点涉法在该曲面上生成非球面刀的数控加工轨迹。
As soon as the parametric representation of the sculptured surface is known, the NC machining path on it is determined for the nonspherical cutters.
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.
作者基于分析和建立加工曲面的型面几何偏差与加工刀位规划参数的关系，提出几何误差的控制方法。
This paper presents the methods to control geometrical errors based on the establishing of the link between geometrical errors and the parameters of tool path planning.
讨论了在五坐标数控机床上加工曲面时刀具走刀步长和切削带步长与加工误差的关系并推导了计算公式。
The relation of the step length of cutting tool with mechanical error when machining curved face in the 5 coordination NC machine, and the calculating formulas are deduced.
在复杂曲面数控加工过程中，由于刀具的插补运动轨迹与理论轨迹之间必然存在一定的误差，因而导致实际加工曲面与理论曲面之间存在误差。
In the process of NC machining complex curve, there is error between interpolation tool path and theoretic tool path, which lead to the error between actual curve and theoretic curve.
从微分几何学的角度，探讨了在五坐标数控机床上采用圆柱形刀具线接触加工自由曲面的几何学原理，分析了刀具面与被加工曲面二阶密切的条件。
On the basis of the differential geometry, the geometrical theory of machining free form surface by cylindrical cutter in 5-axis NC machine tool is investigated.
传统加工方法难以保证曲面精度，存在无法克服的障碍交替传译。
Traditional processing method is difficult to ensure the curved surface precision, has the unconquerable obstacles.
针对自由曲面走刀方向数控加工的研究，建立了简化的刀具轨迹时间模型，并对路径规划的系统进行了讨论。
To aim at the research on cutting direction in NC machining of free-form surfaces, a simplified time model for tool trace is established, and the system of tool path programming is discussed.
通过误差矩阵和模具的工作特性函数反求输入控制量是加工高精度的自由曲面光学镜所面临的难题。
It is a difficult problem to solve the inputted data when the matrix of error data and the working characteristics of the tool are known in precision machining.
在复杂曲面数控加工中，刀位轨迹生成算法的优劣在一定程度上影响最终加工表面质量和加工效率。
Tool path generation is important for complex parts nc machining, and the methodology of tool path generation affects the efficiency and quality of parts machining.
它可以加工平面、沟槽，也可以加工各种曲面、齿轮等。
It can process flat, groove, can also process a variety of surfaces, and other gear.
叶切面最大厚度计算是螺旋曲面加工准备过程中必要的环节。
The computation of maximum thickness of the section of blades is necessary for preparing for manufacturing of the screw surface.
在此基础上得到加工后内廓曲面，为数控加工中刀具轨迹的规划奠定了基础。
Using this method, the post-machining inner surface is obtained, and it makes the cutting locus planning in NC machining process possible.
提出一种组合曲面加工无干涉刀具轨迹的生成算法。
An algorithm is presented for generating interference free tool paths in nc machining of compound surfaces.
以微分几何学和矢量分析为工具，提出了复杂曲面加工路径规划的新方法。
Using differential geometry and vector analysis, a new tool-path generation method for freeform surface machining is presented.
开发了能实现复杂曲面零件电火花线切割加工的多轴联动加工系统。
In this paper, the motion rules of multiple spindle linkage motion in machining complex ruled curved surfaces by WEDM was analyzed.
试验结果表明，该算法可有效地提高自由曲面的加工效率和表面加工质量。
The experimental results show that the proposed algorithm can improve machining efficiency and surface quality.
为了提高自由曲面加工质量，提出一种等斜率曲线跟踪算法。
A new algorithm for tracing equiangular curves is presented to improve the machining quality of free-form surfaces.
实验结果表明，自由曲面加工的故障信号能很好被检测区别开来。
Experimental results show that the fault signal in free-form surfaces machining can be clearly monitored and distinguished.
提出一种新的雕塑曲面数控粗加工刀位规划方法。
A new method for generating tool paths for rough machining of sculptured surface is presented in this paper.
曲面交线、曲面内凹区域及曲面中浅平面的加工是曲面加工中的难点。
The line of intersection, inward concave and shallow area of curved surface are the difficult points in curved surface machining.
文中最后给出了一个曲面局部加工实例来对算法进行验证。
Moreover, an example of local machining is presented to verify the proposed algorithm.
文中最后给出了一个曲面局部加工实例来对算法进行验证。
Moreover, an example of local machining is presented to verify the proposed algorithm.
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