一种开阔自由凹曲面五坐标加工多点刀位算法

樊文刚; 王小椿; 姜虹; 蔡永林

您当前的位置：

首页 >

文章列表页 >

一种开阔自由凹曲面五坐标加工多点刀位算法

更新时间：2025-07-09

- 一种开阔自由凹曲面五坐标加工多点刀位算法
- Multi-Point Tool Positioning Strategy for Five-Axis Machining of Open Sculptured Concave Surfaces
- 西安交通大学学报 2010年44卷第9期页码：69-73
- 作者机构：
  
  北京交通大学机械与电子控制工程学院,北京,100044
- 作者简介：
- 基金信息：
  
  : 2010-03-16. 作者简介: 樊文刚(1985-),男,博士生;王小椿(联系人),男,教授,博士生导师. 基金项目:国家“十一五”重大专项资助项目(2009ZX04009-011)
- DOI：
  中图分类号： TP391
- 网络首发：2010-09-10，
  
  纸质出版：2010
- 稿件说明：
移动端阅览
樊文刚, 王小椿, 姜虹, 等. 一种开阔自由凹曲面五坐标加工多点刀位算法[J]. 西安交通大学学报, 2010,44(9):69-73.

Multi-Point Tool Positioning Strategy for Five-Axis Machining of Open Sculptured Concave Surfaces[J]. 2010, 44(9): 69-73.
樊文刚, 王小椿, 姜虹, 等. 一种开阔自由凹曲面五坐标加工多点刀位算法[J]. 西安交通大学学报, 2010,44(9):69-73. DOI：

Multi-Point Tool Positioning Strategy for Five-Axis Machining of Open Sculptured Concave Surfaces[J]. 2010, 44(9): 69-73. DOI：

摘要

为了采用圆环面刀具加工开阔自由凹曲面

提出了一种简单快速的五坐标多点刀位算法.通过构造等距面

圆环面刀具的圆环面与理想曲面的相对关系可以等效为刀具环心圆曲线与等距面的相对关系.在等距面上构造偏置距离等于最大允许残余高度的新等距面

建立在新等距面一点处由法矢量和最小、最大主曲率方向矢量确定的局部坐标系

通过坐标变换得到空间坐标系下刀具环心圆曲线的参数方程.利用改进的求曲线曲面最小距离算法

得到不同刀位下刀具与新等距面的干涉量

当干涉量满足精度要求时停止调整刀轴

可以得到最优刀位.算例显示

新多点刀位算法不仅可以产生大的有效切削宽度

而且比以往的多点刀位算法具有更高的计算效率.

Abstract

For open sculptured concave surface machining by the toroidal cutter

a new simple and fast five-axis multi-point tool positioning strategy was presented. Constructing the offset surface

the relative location relationship between the toroidal surface of toroidal cutter and the design surface got equivalent to the relation between the circular curve of toroidal cutter and the offset surface. Then a new offset surface based on the first offset surface was formed

where the offset distance was equal to the allowed maximum scallop height. As the local coordinate system for the point on the new offset surface was determined by the normal direction

the minimum direction and the maximum direction of curvature

the parametric equation of circular curve in the space coordinate was easily obtained by coordinate transformation. With the improved algorithm for computing the minimum distance between curve and surface

the interference between the circular curve and the new offset surface for each tool axis was calculated

which was finished when the interference satisfied the required precision

thus the best tool position was achieved. An example shows that the new multi-point tool positioning strategy enables to produce enough effective cutting width with higher computing efficiency than the existing multi-point tool positioning strategies.

关键词

Keywords

references

VICKERS G W, QUAN K W. Ball-mills versus end-mills for curved surface machining [J]. Journal of Engineering for Industry, 1989,111(22):22-26.

RAO N, BEDI S, BUCHAL R. Implementation of the principal-axis method for machining of complex surfaces [J]. International Journal of Advanced Manufacturing Technology, 1996,11(4):249-257.

WANG Xiaochun, LI Yanbin, GHOSH S K, et al. Curvature catering-a new approach in manufacturing of sculptured surface, part 1: theorem [J]. Journal of Materials Processing Technology, 1993,38(1/2):159-176.

WANG Xiaochun, LI Yanbin, GHOSH S K, et al. Curvature catering-a new approach in manufacturing of sculptured surface, part 2: methodology [J]. Journal of Materials Processing Technology, 1993,38(1/2):177-194.

WARKENTIN A, BEDI S, ISMAIL F. 5-axis milling of spherical surfaces [J]. International Journal of Machine Tools and Manufacture, 1995,36(2):229-243.

WARKENTIN A, ISMAIL F, BEDI S. Intersection approach to multi-point machining of sculptured surfaces [J]. Computer Aided Geometric Design, 1998,15(6):567-584.

WARKENTIN A, ISMAIL F, BEDI S. Multi-point tool positioning strategy for 5-axis machining of sculptured surfaces [J]. Computer Aided Geometric Design, 2000,17(1):83-100.

WARKENTIN A, ISMAIL F, BEDI S. Comparison between multi-point and other 5-axis tool position strategies [J]. International Journal of Machine Tools and Manufacture, 2000,40(2):185-208.

ENGELI M, WALDVOGEL J, SCHNIDER T. Method for processing work pieces by removing material: US, 6485236 B1[P].2002-11-26.

王瑞秋,陈五一. 多点切触加工的割线法 [J].机械工程学报, 2006,42(7):203-206.

WANG Ruiqiu, CHEN Wuyi. Secant algorithm in multi-point contact machining [J]. Chinese Journal of Mechanical Engineering, 2006,42(7):203-206.

陈丽萍, 陈燕, 胡德金. 一种快速完备的自由曲线和曲面间最短距离求取算法[J].上海交通大学学报, 2003,37(S0):41-44.

CHEN Liping, CHEN Yan, HU Dejin. A high-efficiency algorithm to calculate the shortest distance between free-form curve and free-form surface [J]. Journal of Shanghai Jiaotong University, 2003,37(S0):41-44.

龚堰珏, 贠敏, 王小椿. 自由曲线曲面距离迭代算法的研究及其可视化处理 [J].小型微型计算机系统,2003,24(12):2306-2308.

GONG Yanjue, YUN Min, WANG Xiaochun. Iterative algorithm of distance between free curve and surface and its visualization [J].Mini-Micro Systems,2003,24(12):2306-2308.

CE-Bézier可展曲面的设计与形状调整. 西安交通大学学报, 2010,44(3):47-51.

一种三维切削网格上的N-S方程离散方法. 西安交通大学学报, 2010,44(5):15-20

采用R*-tree的三角网格曲面非均匀精简算法. 西安交通大学学报, 2008,42(9):1179-1183.

基于最少控制点的非均匀有理B样条曲线拟合. 西安交通大学学报, 2008,42(1):73-77.

一种针对非均匀有理B样条曲面的碰撞检测算法. 西安交通大学学报, 2007,41(4):389-392.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

面向高海拔空冷发电机防晕性能演化规律的电热耦合研究

电动车辆间接热系统快速除湿响应迟滞机理及优化控制策略

多工况下离心压气机叶轮-机匣一体联合设计优化

结构-语义-残差协同的图像压缩框架：面向隐私保护与高保真重建

不同板叠材料热声热机能量转换过程数值模拟研究