复杂曲面宽行数控加工的刀位和刀具姿态综合整体优化的内蕴几何学方法

doi:10.3901/JME.2020.11.192

机械工程学报 ›› 2020, Vol. 56 ›› Issue (11): 192-201.doi: 10.3901/JME.2020.11.192

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复杂曲面宽行数控加工的刀位和刀具姿态综合整体优化的内蕴几何学方法

周凯红^1,2, 唐进元²

1. 桂林理工大学机械与控制工程学院桂林 541004;
2. 中南大学高性能复杂制造国家重点实验室长沙 410083

收稿日期:2019-10-19 修回日期:2020-01-24 出版日期:2020-06-05 发布日期:2020-06-12
通讯作者: 周凯红(通信作者),男,1968年出生,博士,教授。主要研究方向为复杂曲面的数字化制造。E-mail:681023@163.com
基金资助:
国家自然科学基金（51265008）、高性能复杂制造国家重点实验室开放基金（HPCM-2013-06）和广西自然科学基金（2018GXNSFAA050075）资助项目。

Tool Position and Orientation Global Optimization Intrinsic Geometry of Strip-width-maximization Manufacture Technology for Sculptured Surface

ZHOU Kaihong^1,2, TANG Jinyuan²

1. College of Mechanical and Control Engineering, GuiLin University of Technology, Guilin 541004;
2. State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083

Received:2019-10-19 Revised:2020-01-24 Online:2020-06-05 Published:2020-06-12

摘要/Abstract

摘要： 阐述了复杂曲面非球面刀具单触点宽行加工中刀位和刀具姿态综合整体优化的通用方法。基于微分几何的曲面活动标架理论，推导了以刀具曲面和设计曲面运动不变量描述非球面刀具宽行数控加工复杂曲面的刀具运动方程；在综合考虑刀位和刀具姿态的影响下，分别以一个走刀过程的加工效率和加工精度最优为目标，建立能确保刀具相对工件运动连续光滑的刀位和刀具姿态优化的泛函极值模型。最后，分别以一个鼓形曲面刀具通过旋转的主切削运动和一个椭圆抛物曲面片刀具通过直线平动的主切削运动数控加工复杂曲面的仿真实例论证了本方法的精确性、有效性和通用性。

关键词: 复杂曲面, 宽行加工, 刀位和刀具姿态, 活动标架

Abstract: A universal tool position and orientation global optimization method is presented to generate the sculptured surface by strip-width-maximization machining with single point contact using non-ball-end cutters. Firstly, the tool motion equations are deduced to describe the generation of the sculptured surface by strip-width-maximization machining based on the idea of the surface moving frame. Secondly, comprehensively considering the influence of tool position and orientation, the functional optimized model of the tool positioning is established to enable the relative motion between the tool and the workpiece to be smooth and continuous, aiming at the highest machining efficiency and machining accuracy respectively. Finally, simulated examples, respectively with barrel tools in rotational main cutting motion and elliptic parabolic surface tools in linear translational main cutting motion, are taken to demonstrate the improved machining precision, efficiency and universality of the presented method.

Key words: sculptured surface, strip-width-maximization machining, tool position and orientation, moving frame

中图分类号:

TH212
TH213

周凯红, 唐进元. 复杂曲面宽行数控加工的刀位和刀具姿态综合整体优化的内蕴几何学方法[J]. 机械工程学报, 2020, 56(11): 192-201.

ZHOU Kaihong, TANG Jinyuan. Tool Position and Orientation Global Optimization Intrinsic Geometry of Strip-width-maximization Manufacture Technology for Sculptured Surface[J]. Journal of Mechanical Engineering, 2020, 56(11): 192-201.

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复杂曲面宽行数控加工的刀位和刀具姿态综合整体优化的内蕴几何学方法

Tool Position and Orientation Global Optimization Intrinsic Geometry of Strip-width-maximization Manufacture Technology for Sculptured Surface

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