基于交替隔点插值的凸轮升程拟合方法在磨削加工中的应用  

Application of Cam Lift Fitting Method Based on Alternative-point Interpolation in Grinding Process

作　　者：唐浩[1] 邓朝晖[1,2] 万林林[2] 刘伟[1] 伍俏平[2] 

机构地区：[1]湖南大学机械与运载工程学院,长沙410082 [2]湖南科技大学机电工程学院,湘潭411201

出　　处：《机械工程学报》2012年第23期191-198,共8页Journal of Mechanical Engineering

基　　金：国家自然科学基金(51175163);湖南省自然科学基金重点(12JJ2027);高等学校博士学科点专项科研基金(20110161110032);湖南省高等学校科学研究(12A048)资助项目

摘　　要：在以往凸轮升程离散型值点曲线拟合的基础上,基于三次参数样条曲线拟合提出了采用奇偶交替隔点插值方式对曲线进行再拟合,并对这一过程进行多次循环的凸轮升程拟合新方法。通过设定拟合精度阈值和引入最大循环次数,实现升程曲线拟合误差控制以及算法的终止。利用Matlab编程对新方法与三次参数样条曲线拟合方法进行数值分析比较。结果显示新方法能够提高原始升程曲线及其一二阶差分曲线的光顺程度。在凸轮数控磨削加工中,能够提高砂轮架进给速度、加速度的连续性,减小进给轴柔性冲击和跟踪误差。在TKM120CNC全数控凸轮轴磨床上,将该方法的升程拟合结果与三次参数样条曲线升程拟合结果进行对比加工试验。结果表明,该方法能够显著改善凸轮表面质量,提高凸轮轮廓精度。On the basis of previously study on optimization of cam lift fitting, based on the cubic spline curve fitting method, a new method using the odd-even alternative-point interpolation for the lift fitting of cam curve is proposed. The method requires several cycles of interpolation fitting process. Through setting fitting accuracy threshold and importing maximum cycle times, lift fitting error controlling and algorithm＇s termination are realized. Numerical analysis comparison between new methods and parametric cubic spline curve fitting method is conducted by using Matlab programming. The results show that the new method can significantly improve the smoothing degree of the original lift curve and its first order, second order differential. In NC cam grinding process, the continuity of the grinding carriage feed rate and acceleration are improved, meanwhile, the feed shaft flexible impact and the tracking error are reduced. Experiments are accomplished using the results of the approach on TKM120 CNC camshaft grinder. Compared to the process result of cubic parameter spline curve lift fitting, the experimental results show that the new approach can significantly improve the surface quality and the contour accuracy.

关 键 词：凸轮 三次参数样条曲线 奇偶交替隔点插值 升程拟合 

分 类 号：TG156[金属学及工艺—热处理]