航空学报 > 2000, Vol. 21 Issue (2): 183-186

材料腐蚀预测数学模型的研究

程基伟, 张琦   

  1. 北京航空航天大学材料科学与工程系 北京 100083
  • 收稿日期:1998-12-18 修回日期:1999-03-15 出版日期:2000-04-25 发布日期:2000-04-25

STUDY OF MATHEMATICAL MODELS IN MATERIAL CORROSION PREDICTION

CHENG Ji-wei, ZHANG Qi   

  1. Dept. of Materials Science & Engineering,Beijing Univ. of Aero. & Astro., Beijing\ 100083, China
  • Received:1998-12-18 Revised:1999-03-15 Online:2000-04-25 Published:2000-04-25

摘要:

分别用灰色 GM( 1,1 )模型、动态数据双向差分模型对腐蚀试验数据进行了拟合和预测。结果表明 :灰色 GM( 1,1 )模型对腐蚀数据有较好的拟合和预测精度,且对数据有较好的适应性;动态数据双向差分模型对波动不大的腐蚀数据有较好的拟合和预测精度,对波动较大的腐蚀数据其拟合和预测的误差较大。并将两种模型和大气腐蚀研究中常用的幂函数模型进行了比较。

关键词: 腐蚀寿命评估, 腐蚀预测, 数学模型

Abstract:

The processing of corrosion data is critical in the corrosion lifetime evaluation and corrosion prediction, because the data, which seem to have no evident correlation, involve all the corrosion information. It is important to establish a mathematical model with these data better. In this paper, the gray theory GM(1,1) model, the dynamic data bidirectional difference model and the power function model are established with the corrosion data which were obtained from the acetic acid type immersion test respectively. The result shows that the GM(1,1) model has relative good prediction accuracy and flexibility, the dynamic data bidirectional difference model has a good prediction accuracy for the neap floating data and a poor prediction accuracy for the sharp data, while the power function model is not suitable for the corrosion prediction because of its poor flexibility and accuracy.

Key words: corrosion lifetime evaluation, corrosion prediction, mathematical model