最小速率波动五次方样条曲线插补研究  

Quintic Spline Interpolation with Minimal Feed Fluctuation

作　　者：赵博[1] 李伟光[1] 

机构地区：[1]华南理工大学机械工程学院,广东广州510640

出　　处：《机械与电子》2007年第12期10-13,共4页Machinery & Electronics

摘　　要：提出了一个五次方样条曲线参数化方法通过改变样条曲线加工轨迹,得到一个光滑连续的速率轮廓,减少曲线在进行精确的插补时的运算量并对最优弧长参数化五次样条曲线进行仿真实验验证了提出的理论.This paper presents a parameterization for quintic splines, which result in a smooth and consistent feed rate profile. The discrepancy between the spline parameter and the actual arc length leads to undesirable feed fluctuations and discontinuity,which elicit themselves as high frequency acceleration and jerk harmonics, causing unwanted structural vibrations and excessive track- ing error. A different approach is presented that alleviate this problem. It is based on modifying the spline tool path so that it is optimally parameterized with respect to its arc length, which allows it to be accurately interpolated in real - time with minimal complexity.

关 键 词：样条曲线 插补 数控 加工轨迹 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TP391[自动化与计算机技术—控制科学与工程]