椭圆曲线回转类零件NURBS插补算法研究  

Research on NURBS Interpolation Algorithm for Rotational Parts with Elliptic Curve

作　　者：翟静涛 赵国勇[1] 庄丙远 岳磊[1] 

机构地区：[1]山东理工大学机械工程学院,山东淄博255049

出　　处：《组合机床与自动化加工技术》2016年第2期112-114,117,共4页Modular Machine Tool & Automatic Manufacturing Technique

基　　金：国家自然科学基金项目"五轴联动数控机床轮廓误差耦合控制理论与方法研究"(51105236)

摘　　要：针对激光熔覆加工中椭圆曲线回转类零件,提出了利用NURBS曲线直接对椭圆曲线零件拟合、插补的算法。在NURBS曲线建模的理论基础上,利用一阶泰勒展开式对插补点进行迭代运算,结合可控弓高误差插补理论,对刀轨曲线进给速度进行了规划。插补加工实例说明,对于椭圆曲线回转类零件,所提出方法满足加工精度要求,达到了预期的加工目标。For the rotational parts with elliptic curves in laser cladding process, an interpolation algorithm based on NURBS is proposed to make use of the curve itself to approximate and interpolator the parts with elliptic curve directly. On the basis of the theory about the curve modeling, an iterative calculation which is composed by the first order Taylor＇ s expansion is developed for interpolation. Based on the algorithm of the controlled chord error interpolator, the feederate can be under control. As the result of an example in inter- polation process, the algorithm is proved effective to meet the need of machining accuracy for the rotational parts with elliptic curves, and achieve the processing target expected.

关 键 词：激光熔覆加工 椭圆曲线 NURBS 弓高误差 

分 类 号：TH161[机械工程—机械制造及自动化] TG659[金属学及工艺—金属切削加工及机床]