摘要
针对数控机床热误差产生机理及变化规律的复杂性,提出了一种新的灰色系统模型,并将其应用于热误差建模分析中。分析了传统GM(1,1)模型的不足之处,在新陈代谢GM(1,1)模型的基础上,结合微粒群算法,提出了一种新的新陈代谢GM(1,1,α)模型。为提高建模精度,该模型在建模过程中及时去除旧的信息,加入新信息,并使用微粒群算法求解参数α以获取α的全局最优值。最后,针对某数控机床热误差序列,分别使用GM(1,1)模型、新陈代谢GM(1,1)模型和新陈代谢GM(1,1,α)模型进行建模和预测,结果表明新陈代谢GM(1,1,α)模型的建模效果最好。
Based on the complexity of mechanism and variation rules of thermal error on CNC machine, a new grey system model was proposed and applied in thermal error modeling on CNC ma- chine. The weakness of existent traditional GM （1,1） method is pointed out, a new metabolic GM （ 1,1, α） model was presented on the basis of metabolic GM （ 1,1 ） model combined with particle opti- mization algorithm （PSO）. In the new model, the old information was deleted and the new information was entered in time to enhance the precision of modeling, and PSO was used for finding the global optimal point of or. Then, one thermal error series is researched u- sing traditional GM （ 1,1 ） method, metabolic GM （ 1,1 ） model and metabolic GM（ 1,1 ,α） model respectively for modeling and predic- tion. Form the analysis result ; we can see that metabolic GM （ 1,1, α） model was proved the most optimal model.
出处
《机械设计》
CSCD
北大核心
2010年第3期32-35,共4页
Journal of Machine Design
