基于插值样条的数控运动轨迹描述及平滑处理  

Description and Smoothing of NC Motion Path Based on the Interpolation Spline

作　　者：陶建明[1] 宋爱平[1] 易旦萍[1] 

机构地区：[1]扬州大学机械工程学院,江苏扬州225127

出　　处：《组合机床与自动化加工技术》2014年第1期49-52,56,共5页Modular Machine Tool & Automatic Manufacturing Technique

基　　金：江苏省产学研联合创新项目(BY2012162);江苏省研究生科研创新计划项目(CXLX12_0912)

摘　　要：为了更好地描述工程中复杂的数控加工运动轨迹,实现轨迹段间的平滑过渡,提出了一种基于特殊基函数的可调形三次三角插值样条曲线。该曲线具有C1连续性,可以精确表示直线、圆弧及自由曲线等常见工程曲线。给定控制点信息,改变调形系数,可以得到不同形状的插值样条曲线;通过在数控运动相邻加工段拐角处附近选择合适的控制点及调形系数,可以实现拐角的平滑过渡,从而保证运动路径的平稳、进给速度的连续。In order to better describe the complex motion path of NC processing and realize the smooth transition between path segments, a kind of cubic trigonometric interpolation spline curve was put forward based on a set of special basis function. The spline curve which with adjustable shape satisfies the Cl continuity, and it can accurately represent some common engineering curves such as straight line, circular arc and free curve. According to the given information of control points, different shapes of interpolation spline curve can be gotten by changing： the adjustment coefficients. By selecting the proper control points and adjustment coefficients near the corner of adjacent NC processing path segments, insert the spline curve at the corner can realize the smooth transition around the comer, ensure the stability of motion path and the continuous of feed speed.

关 键 词：三次三角样条曲线 插值 可调形 轨迹描述 平滑路径 

分 类 号：TH162[机械工程—机械制造及自动化] TP391[自动化与计算机技术—计算机应用技术]