摘要
为了使多点切触加工算法具有更广泛的普遍性并降低原有的多点切触加工算法的计算耗时,对采用圆环面刀具和工件曲面实现多点切触加工的算法原理进行了分析,得到了多点切触加工中圆环面刀具的定位方法;同时提出了一种新的多点切触加工的加工误差控制方法。为了控制多点切触加工中两个切触点之间的最大欠切误差,建立了以两个切触点间参数差值圆半径为自变量的函数方程,采用割线法迭代求解该函数方程,可以得到在允许加工误差下的最优参数差值圆半径和当前的最优刀位。通过实例验算表明,采用圆环面刀具的多点切触加工的刀位计算可以获得很宽的加工刀轨,而采用割线法进行加工误差控制的多点切触加工刀位算法和Hermite算法相比,计算耗时明显减少,在曲面加工的刀位计算中更加实用。
In order to acquire a universal multi-point contact machining alogfithrn and reduce the computation cost, the prin ciple of algorithm realizing multi-point contact between the toroidal outter and the machining surface is analyzed. And the method positioning the toroidal cutter is derived. A novel algorithm, for machining error controlling in multi-point contact machining, is proposed. In the algorithm, a function equation having the radius of the circle of the parameter difference between two contact points as the independent variable is constructed to control the maximal undercut error occurring within the two contact points in multi-point contact machining. The secant algorithm is utilized to solve the equation after iterations, and then the optimal value of the circle radius and cutter location is derived. It is proved by a computational example that very wide path intervals can be acquired when secant algorithm is applied in tool position calculation with multi-point method. The time cost of secant algorithm is much less than that of Hermite method. And it is more effective in the application on the sculpture surface machining.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2006年第7期203-206,210,共5页
Journal of Mechanical Engineering
基金
中国航空第一集团创新基金资助项目(CX03007)
关键词
数控加工
多点切触加工
割线法
刀位计算
NC machining Multi-point contact machining Secant algorithm Tool position calculation
