摘要
提出一种精确计算插补步长的双NURBS曲线随动插补算法。首先由曲面数控加工的离散刀位数据分别拟合出刀尖点和刀轴点NURBS曲线,并建立两条曲线插补参数间的随动关系模型;然后采用辛普森积分法计算出曲线的总弧长,进行插补运动的加减速规划;再以刀尖点NURBS曲线为基准确定插补参数,采用辛普森法确定各插补周期的进给步长及插补点坐标;最后依据随动关系模型获得刀轴点NURBS曲线对应的插补参数,完成曲面加工刀路规划的刀具位姿插补。仿真实验表明,与同一参数插补法相比,参数随动法可以获得更加稳定的等距效果,便于实时控制插补过程中的刀轴位置和姿态。
A following-up interpolation algorithm for dual-NURBS(Non-uniform rational B-spline)curve was proposed based on precise calculation of interpolation step-length.First,tool-tip and tool-axis NURBS curves are fitted out from the discrete cutter location data for curved surface NC machining,respectively,and after it the follow-up relation model between the two curve interpolation parameters was established.Then,Simpson integral method is used to calculate the total arc length of the curve,and the acceleration/deceleration planning is conducted for interpolation motion.And next,taking tool-tip NURBS curve interpolation parameters as benchmark,and using Simpson method to determine feeding step-length in each interpolation cycle,and the interpolation point coordinates are subsequently gained.The corresponding interpolation parameters of the tool-axis NURBS curve is acquired according to follow-up relationship model,and the tool pose interpolation of the tool-path planning of surface machining is achieved.Simulation experiment shows that compared with the same parameter interpolation method,the follow-up parameters method can obtain more stable isometric effect,which is conducive to real-time control the tool position and posture in the process of interpolation.
作者
江本赤
王建彬
苏学满
Jiang Benchi;Wang Jianbin;Su Xueman(School of Mechanical and Automotive Engineering,Anhui Polytechnic University,Anhui Wuhu 241000,China)
出处
《机械科学与技术》
CSCD
北大核心
2019年第1期96-103,共8页
Mechanical Science and Technology for Aerospace Engineering
基金
安徽省教育厅自然科学研究重点项目(KJ2015A392)
安徽高校优秀青年人才支持计划重点项目(gxyq ZD2016465)
安徽工程大学引进人才科研启动基金项目(2016YQQ014)资助
