摘要
针对现有型腔铣加工刀路规划方法难以满足高速切削的问题,提出了一种基于椭圆形偏微分方程的刀路规划算法.首先,由二维稳态下的温度平衡方程导出偏微分方程,将型腔边界偏置一个刀具半径,作为偏微分方程的边界,并将边界条件赋为0,以此建立刀路规划模型.然后,对边界内部的区域进行均匀离散,利用Delaunay算法构建三角网格单元,利用有限元法求解椭圆形偏微分方程,由偏微分方程的解构建等距线.最后,由等距线生成螺旋铣刀路,并对螺旋刀路进行了加工验证.实验结果表明,采用所提出的方法获得的螺旋铣刀路明显改善了机床的运动性能,提高了加工效率.
A novel methodology based on partial differential equation（PDE）was presented in this paper because the existing tool path generation methods for pocket machining cannot meet the requirements of high speed machining（HSM）.First,a PDE was introduced by a two-dimensional steady-state temperature equilibrium equation.The boundary of the pocket was offset by a tool radius as the boundary of the PDE,and the boundary condition was assigned to zero,based on which a toolpath generation model was established.Then the inner region was divided into the triangle mesh,and finite element method（FEM）was introduced to solve the PDE.Therefore,the isometric curves was obtained from the solution of the PDE.Finally,the isometric curves were connected to generate the spiral tool path.An experimental implementation was conducted to prove the validity of the proposed method.The results show that the proposed method can apparently improve the movements of the machine tool with higher efficiency.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2014年第8期1200-1204,1212,共6页
Journal of Shanghai Jiaotong University
基金
国家高档数控机床与基础制造装备科技重大专项基金资助项目(2012ZX04010051)
关键词
螺旋铣
刀路规划
高速铣削
机床运动学
spiral milling
toolpath generation
high speed machining（HSM）
machine tool kinematics
