等弦高误差约束下圆弧插补的梯形速度规划方法  

Trapezoidal velocity planning of circular interpolation with constant chord error

作　　者：江本赤 王建彬 

机构地区：[1]安徽工程大学机械与汽车工程学院,安徽芜湖241000

出　　处：《新余学院学报》2018年第1期6-9,共4页Journal of Xinyu University

基　　金：安徽省高校自然科学研究重点项目"3D打印中三维模型数据在转换流程中的精度损失及其补偿方法研究"(KJ2015A392);安徽工程大学引进人才科研启动基金项目"自由曲面五轴刀路的NURBS光顺技术研究"(2016YQQ014)

摘　　要：以等弦高误差为约束条件,给出了一种采用梯形速度曲线控制的圆弧插补算法。先依据圆弧半径和设定的弦高误差确定圆心角增量和插补总次数,然后根据梯形速度规划,结合加速度与目标速度的关系确定加速段、匀速段和减速段的插补次数,最后确定各插补步长所对应的插补周期,并得出X、Y轴方向的速度曲线。该算法运算量较小,可以保证高速插补的实时性。仿真实验表明了算法的可行性。Abstract：With constant chord error as constraint conditions, a circular interpolation algorithm was realized based on trapezoidal velocity profile. At first, the central angle increment and total number of interpolation was determined on the basis of radius and predetermined chord error; then the number of acceleration stage, constant speed stage and deceleration stage were calculated individually according to trapezoidal velocity rule as well as the relationship between accelerating and feeding rate; and at last, relevant interpolation period for equal step length as same as the velocity diagram along two axle direction were gained. The algorithm has a relative low computational complexity, and can ensure the real - time performance of high - speed interpolation. The feasibility of algorithm was proved by simula- tion.

关 键 词：数控加工 梯形速度图 圆弧插补 插补算法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]