分形插值法拟合铝液界面波动曲线  

Simulation of liquid aluminum fluctuation curve in fractal interpolation method

作　　者：喻亮[1,2] 高凡[1,2] 王紫千[3] 姜艳丽[1,2] 

机构地区：[1]桂林理工大学有色金属清洁冶炼与综合利用广西高校重点实验室,广西桂林541004 [2]桂林理工大学有色金属及材料加工新技术教育部重点实验室,广西桂林541004 [3]贵阳铝镁设计研究院有限公司,贵阳550000

出　　处：《桂林理工大学学报》2017年第2期322-330,共9页Journal of Guilin University of Technology

基　　金：国家自然科学基金项目(51465014);广西自然科学基金项目(2014GXNSFAA118351;2014GXNSFAA118330);广西教育厅项目(2013YB112)

摘　　要：采用少量的数据点,运用分形插值方法拟合铝电解槽阳极导杆等距时间电压降曲线,发现通过分形插值函数拟合出的曲线更接近原始数据作出的实际曲线,证明铝电解槽中熔融电解质与铝液界面的波动曲线是非线性的,具有分形特征。另外,代入不同的垂直比例因子,分形插值曲线的形态是不同的,证实垂直比例因子对分形插值生成的曲线具有一定的影响。将分形插值曲线和传统插值曲线比较,证实了分形插值拟合曲线的优越性。It is more close to actual curves by fractal interpolation to simulate anode conductor voltage drop curves in aluminum electrolytic cell using a few data points. It is proved that fluctuation curves of electrolyte and liquid aluminum in aluminum electrolytic cell are nonlinear, with fractal characteristics. Besides, different frac-tal interpolation curves were produced by different vertical scale factors. It is also proved that different vertical scale factor has an effect on the simulated carves. In addition, the superiority of fractal interpolation is shown compared with traditional interpolation.

关 键 词：分形插值 波动曲线 非线性 垂直比例因子 

分 类 号：TF821[冶金工程—有色金属冶金]