大型数控滚齿机热误差补偿建模  

Modeling of thermal error compensation of large-scale numerical control gear hobbing machine

作　　者：王时龙[1] 杨勇[1] 周杰[1] 康玲[1] 雷松[1] 李川[1] 

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：《中南大学学报（自然科学版）》2011年第10期3066-3072,共7页Journal of Central South University:Science and Technology

基　　金：国家科技重大专项(2009ZX04001-081);重庆市科技攻关计划项目(XSTC2011AB3055);国家杰出青年科学基金资助项目(50925518)

摘　　要：针对某大型数控滚齿机,提出滚刀与工件主轴中心距热误差计算新模型,建立热误差实验检测系统,进行热误差与温度的关系实验;在此基础上,采用模糊聚类与多元线性回归法建立滚刀与工件主轴中心距热误差补偿模型;将补偿模型与实验数据进行对比分析,揭示滚齿机热误差规律,得到热误差随加工温度变化曲线。研究结果表明:经热误差理论、实验及补偿模型值比较,三者热相对误差均低于5%,验证了所建立热误差补偿模型的正确性与有效性,表明该热误差补偿模型精度高,实用性及鲁棒性强,可为滚齿机热误差预测、控制及实时补偿提供有益参考与指导。A novel model of thermal error was proposed to calculate the centre distance of hob and workpiece spindle of large-scale numerical control（NC） gear hobbing machine,and then a set of experimental system was established for testing thermal error and temperature.Based on the above researches,the thermal error compensation model of the centre distance of hob and workpiece spindle of gear hobbing machine were set up by adopting the methods of fuzzy clustering and multi-linear regressions.In order to reveal the thermal error law of gear hobbing machine,the experimental data and thermal error compensation model were also studied after testing a certain type large-scale NC gear hobbing machine,obtaining the curve of relationship between thermal error and machining temperature ultimately.The average value of theory and error compensation model were compared with experimental data of thermal error of centre distance of hob and workpiece spindle of thermal balance of gear hobbing machine.The results show that the relative errors of the results are all lower than 5%.The analysis validates the effectiveness and validity of the novel theory model and the thermal error compensation model and indicates the high precision,good practicability and the robustness of the thermal error compensation model,which has great reference value and instructive significance for thermal error prediction,control and real time compensation on NC gear hobbing machine.

关 键 词：大型数控滚齿机 热误差 模糊聚类 多元线性回归 补偿模型 

分 类 号：TG612[金属学及工艺—金属切削加工及机床]