机械与电子2019，Vol.37Issue(2)：26-30,5.
数控系统中C2连续五次PH曲线插补算法研究
Research of Interpolation Algorithm Based on C2 Quintic PH Curve in CNC System
摘要
Abstract
The traditional interpolation of polynomial curves in CNC system has the disadvantage that arclength polynomial and offset curves do not necessarily have rational form.At present,PH (Pythagorean-Hodograph) curve interpolation can be used to solve this problem.However,in the study of interpolation of PH curves, the C2 continuity of spatial PH curves can not be guaranteed,which will lead to sudden change of motion acceleration and affect the quality of processing.To solve these problems,a C2 continuous quintic PH curve interpolation algorithm was proposed.According to the tangent vector of cubic B-spline curve under the same interpolation points condition,the initial value of quaternion parameter in PH curve equation was obtained.Then the equation was established by integral of velocity curve and interpolation points.The quaternion parameter was solved iteratively after linearization,and therefore the quintic PH curve equation was determined.An interpolation simulation of space spiral curve was performed by MATLAB.The Hausdoff distance error was used to estimate the error between the actual curve and the quintic PH curve,which verifies the fitting approximation effect of the interpolation algorithm in this paper.关键词
数控系统/C2连续/五次PH曲线/插补Key words
CNC system/C2 continuity/quintic PH curve/interpolation分类
矿业与冶金引用本文复制引用
姜海兵,赵东标,罗晖淼,刘豪志..数控系统中C2连续五次PH曲线插补算法研究[J].机械与电子,2019,37(2):26-30,5.基金项目
国家自然科学基金项目(51175261) （51175261）
高等学校博士学科点专项科研基金项目(20123218110020) （20123218110020）
国家重点基础研究发展计划项目(2014CB046501) （2014CB046501）
