基于机床混合模型的参数曲线高速插补速度极值分析  

Analysis on Velocity Limit of the Parametric Curve Interpolation in High CNC Machining Based on the Hybrid Models

作　　者：孙海洋[1] 范大鹏[1] 

机构地区：[1]国防科学技术大学机电工程与自动化学院,长沙410073

出　　处：《机械工程学报》2008年第12期93-99,共7页Journal of Mechanical Engineering

基　　金：湖南省自然科学基金资助项目(05JJ30109)

摘　　要：参数曲线高速数控插补时,进给速度规划需要综合考虑机床动力学特性和曲线几何特征的限制。通过建立机床进给系统的机电混合模型,给出了参数曲线高速插补进给速度的机床动力学约束条件。以此条件为基础,采用'速度-加速度'相平面分析法导出了速度极值曲线解析表达式。与实时插补弦高误差约束下的速度极值曲线表达式相比,二者具有一致性。通过机床动力学约束下的速度极值曲线最大实时插补弦高误差估计,可简化插补进给速度规划约束条件。研究结果表明,给出进给速度极值解析曲线是有效的,可为参数曲线高速插补进给速度优化规划提供理论分析依据。Velocity planning for curved path interpolation in high CNC machining should be bounded by both dynamic properties of the machine tool and the geometrical properties of the curved path. Through building the electromechanical hybrid model of the machine feed system, the dynamical constraints of the high-speed CNC interpolating feed rate along a curved path are given. Based on them, an analytical formula of velocity limit curve is derived by using the ＂velocity-acceleration＂ phase plane method. And the formula is intrinsically coherent with the one of chord error velocity limit curve. So the constraints of feed rate planning will be simplified by estimating the max chord error value of dynamical constraints of machine. The experimental results show that the analytic velocity limit curves are efficacious and helpful to curved path interpolation feed rate planning in theory.

关 键 词：数控机床 混合模型 参数曲线 插补 速度极值曲线 速度规划 

分 类 号：TG659[金属学及工艺—金属切削加工及机床] TP273.5[自动化与计算机技术—检测技术与自动化装置]