基于摆线滚轮阴模基体的步长伸缩双圆弧插补算法  

Variable-step double-arc interpolation algorithm based on cycloid roller female mold matrix

作　　者：肖向 黄健[1] 陈佳豪 陈兵奎[1] XIAO Xiang;HUANG Jian;CHEN Jiahao;CHEN Bingkui(State Key Laboratory of Mechanical Transmissions,Chongqing University,Chongqing 400044,P.R.China)

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400044

出　　处：《重庆大学学报》2022年第10期77-85,共9页Journal of Chongqing University

基　　金：国家重点研发计划资助项目(2017YFB1300704);重庆市自然科学基金资助项目(cstc2018jcyjAX0301)。

摘　　要：阴模基体加工精度是影响摆线金刚石滚轮制造精度的关键因素。为了提高摆线滚轮阴模基体在数控机床上的加工精度,首先求解出摆线滚轮阴模基体形面曲线方程,然后基于双圆弧插补法,建立摆线滚轮阴模基体步长伸缩双圆弧插补数学模型,利用数值分析方法求解插补节点数据,控制步长伸缩以调整插补误差。通过计算实例验证了算法的可行性,结果表明:双圆弧插补误差小于0.01μm,比直线插补误差降低75%;控制步长伸缩,在相同允差下拟合圆弧段数减少55%,提高了加工效率;插补数据拟合的加工仿真曲线光滑平整,刀具路径具备G1连续性。The machining accuracy of the female mold matrix is a key factor affecting the manufacturing accuracy of the cycloid diamond roller.In order to improve the machining accuracy of the cycloidal roller female mold on the CNC(computer numerical control)machine tool,firstly,the basic curve equation of the cycloidal roller female mold is solved.Then,based on the double arc interpolation method,a mathematical model of the variable-step double-arc interpolation of the cycloidal roller female mold is established.The interpolation node data are obtained by using numerical analysis method,and the interpolation error can be adjusted by controlling the step length expansion.The feasibility of the algorithm is verified by calculation examples.The results show that the double-arc interpolation error is less than 0.01μm,which is 75%lower than the linear interpolation error.By controlling the step length expansion,the number of fitting arc segments is reduced by 55%under the same tolerance,and the processing efficiency is improved.Moreover,the machining simulation curve fitted by the interpolation data is smooth and flat,and the tool path has G1 continuity.

关 键 词：摆线金刚石滚轮 数控加工 双圆弧插补 插补误差 

分 类 号：TG580[金属学及工艺—金属切削加工及机床]