连续短线段空间圆弧转接与插补  

An Interpolator for Continuous Short-segments Based on Space Arc Transition

作　　者：何均[1] 游有鹏[1] 陈浩[1] 王化明[1] 

机构地区：[1]南京航空航天大学江苏省精密与微细制造技术重点实验室,江苏南京210016

出　　处：《航空学报》2010年第5期1086-1092,共7页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(50975144;50605031);江苏省精密与微细制造技术重点实验室开放基金(Z0601-052-06)

摘　　要：针对连续短线段高速加工控制需求,研究了利用空间圆弧转接实现高速插补的方法。建立了圆弧转接数学模型,研究了转接的几何约束和运动约束、转接参数计算、空间圆弧插补等相关理论与算法,并详细分析了算法的使用范围、效率制约因素和计算量等工程实现相关问题。仿真和加工实验表明:该转接算法能显著提高加工效率,减小振动,改善工件表面质量。作为空间圆弧转接算法基础的空间圆弧插补算法对空间任意平面内圆弧插补具有实用价值。本文所有算法已经在自主研发的数控平台上进行了验证,应用效果良好。To meet the demands of high-speed machining of continuous short-segments,a high-speed interpolator based on the space arc transition is proposed.A mathematical model of arc transition is built.Meanwhile,the relative theory and algorithm of the transition＇s geometrical restriction,motion restriction,parameter calculation,as well as the space arc interpolation are researched.Furthermore,some relative problems of engineering implement,such as the applying scale of algorithm,the factors of efficiency restriction and computational complexity are analyzed in detail.Simulations and machining experiments show that the proposed algorithm can significantly enhance machining efficiency,reduce vibration and improve surface quality of workpieces.The space arc interpolation algorithm as basis of space arc transition algorithm is applicable to arc interpolation in arbitrary plane.Machining experiments are taken to verify the effectiveness of the proposed algorithms which have already been applied to in-house developed computer numerical control（CNC）platform.

关 键 词：连续短线段插补 空间圆弧插补 空间圆弧转接 高速轮廓加工 数控系统 

分 类 号：TH164[机械工程—机械制造及自动化] TP273.5[自动化与计算机技术—检测技术与自动化装置]