基于有向图的刀轴矢量优化研究

中国机械工程 ›› 2015, Vol. 26 ›› Issue (19): 2629-2632.

基于有向图的刀轴矢量优化研究

刘红军1;曹宁江1;赵吉宾2

1.沈阳航空航天大学，沈阳，110136
2.中国科学院沈阳自动化研究所，沈阳，110016

出版日期:2015-10-10 发布日期:2015-10-10
基金资助:
辽宁省自然科学基金资助项目(2013024017)

Research on Tool Axis Vector Optimization Based on Graph

Liu Hongjun1;Cao Ningjiang1;Zhao Jibin2

1.Shenyang Aerospace University，Shenyang，110136
2.Shenyang Institute of Automation Chinese Academy of Sciences，Shenyang，110016

Online:2015-10-10 Published:2015-10-10
Supported by:
Liaoning Provincial Natural Science Foundation of China（No. 2013024017）

摘要/Abstract

摘要：

针对球头铣刀的五轴数控加工，提出了一种基于有向图的刀轴矢量优化方法。根据刀轴矢量数据量大的特点，提出了建立刀轴矢量有向图的最小优化模型和算法。该方法能获得全局刀轴矢量变化量最小的刀轴矢量序列，将可行域边界上的刀轴矢量加入到有向图的计算中，提高了算法的计算效率。仿真分析表明，该方法优化了刀轴矢量的连续性和光顺性，对于最佳刀具姿态在可行域边界上的加工具有一定的适用性。

关键词: 刀轴矢量, 五轴数控加工, 有向图, 可行域边界, 空间构造法

Abstract:

According to the five axis NC machining of ball end milling, this paper presented a new method to optimize tool axis vector based on graph. Based on the characteristics of the cutter axis vector data, the minimum optimization model and algorithm of the cutter axis vector directed graph were proposed. This method can get global minimum cutter axis vector variation of cutter axis vector sequence and improve the computational efficiency of the algorithm by using the boundary of the feasible region of cutter axis vector joining in the directed graph calculation. Simulation and data analyses show that the proposed method improves the continuity and smoothness of cutter axis vector in a certain extent, and also has certain applicability in its optimal tool posture along the boundary of the feasible region.

Key words: tool axis vector, five-axis CNC machining, digraph, feasible domain boundary, space construction method

中图分类号:

TP391.7

刘红军, 曹宁江, 赵吉宾. 基于有向图的刀轴矢量优化研究[J]. 中国机械工程, 2015, 26(19): 2629-2632.

Liu Hongjun, Cao Ningjiang, Zhao Jibin. Research on Tool Axis Vector Optimization Based on Graph[J]. China Mechanical Engineering, 2015, 26(19): 2629-2632.

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