非球头刀单触点宽行加工刀具运动优化方法  

Single Point Contact Strip-Width-Maximization Machining Optimization for Sculptured Surface Using Non-ball-end

作　　者：周凯红[1,2] 唐进元[2] Zhou Kaihong;Tang Jinyuan(College of Mechanical and Control Engineering,Guilin University of Technology,Guilin 541004;State Key Laboratory of High Performance Complex Manufacturing,Central South University,Changsha 410083)

机构地区：[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

出　　处：《计算机辅助设计与图形学学报》2018年第10期1966-1978,共13页Journal of Computer-Aided Design & Computer Graphics

基　　金：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)

摘　　要：将非球面刀具的单触点宽行加工复杂曲面问题归结为刀具曲面包络特征线在运动变换下逼近设计曲面的曲面拟合问题,提出复杂曲面非球面刀具单触点宽行加工的通用刀具运动优化方法—曲面包络逼近原理.该方法基于曲面自然活动标架理论,推导了由刀具曲面和设计曲面运动不变量参数描述的、通用规范的刀具相对工件运动的速度方程和运动变换矩阵;分别以加工效率和加工精度最优为目标,建立了能确保刀具相对工件运动连续光滑的刀位优化的泛函极值模型.最后通过一个圆锥面刀具和一个圆环面刀具的数控加工复杂曲面的仿真实例,论证了文中方法的精确性、有效性和通用性.A universal envelope-approximation theory was presented to generate the sculptured surface by strip-width-maximization machining with single point contact using non-ball-end cutters,formulating the problem of multi-axis sculptured surface machining as that of approximating the cutter surface to the design surface under the movement transform.The speed equation and the movement transform matrix is deduced to determine the relative motion between the tool and the workpiece by intrinsic differential geometry based on the idea of the moving frame.The functional optimized model of the tool positioning was 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.Simulated examples demonstrate the improved machining efficiency and precision of the envelope-approximation Theory over current published methods.

关 键 词：活动标架 宽行加工 复杂曲面 包络逼近 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]