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复杂曲面的区域分类与数控加工
引用本文:唐余勇,任秉银.复杂曲面的区域分类与数控加工[J].河北科技大学学报,2002,23(2):7-11,35.
作者姓名:唐余勇  任秉银
作者单位:1. 哈尔滨工业大学数学系,黑龙江哈尔滨,150001
2. 哈尔滨工业大学现代生产技术中心,黑龙江哈尔滨,150001
基金项目:黑龙江省自然科学基金资助项目 (F0 1- 2 3),哈尔滨工业大学跨学科交叉性研究基金资助项目(HIT.MD2 0 0 0 .17)
摘    要:据微分几何理论中曲面上点的分类法将被加工曲面分成椭圆、双曲和抛物 3类区域 ,并根据各类区域的法曲率的特征给出了球面铣刀、端面铣刀等刀具的参数选择以及用各种刀具切削不同区域的曲面时相应的步长和行距的定量分析相关的数学模型 ,最后用实例验证了本文所供方法和模型的可行性与可靠性。

关 键 词:曲面  数控加工  数学模型
文章编号:1008-1542(2002)02-0007-05

The Region Division and NC Machining of Compound Surfaces
TANG Yu yong ,REN Bing yin.The Region Division and NC Machining of Compound Surfaces[J].Journal of Hebei University of Science and Technology,2002,23(2):7-11,35.
Authors:TANG Yu yong  REN Bing yin
Affiliation:TANG Yu yong 1,REN Bing yin 2
Abstract:According to the theory of differential geometry,the surfaces to be machined are divided into three kinds of regions,i.e.elliptic region,hyperbolic region and parabolic region.The parameters of ball end cutter and flat end cutter are deduced based on the feature of normal curvature of different regions.The correlative mathematical models of the step length and path intervals of different milling cutters in the NC machining of different regions are also proposed.An example is put forward to verify the reliability of the method and models.
Keywords:compound surfaces  NC machining  mathematics model  
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